Graph theory

Alao, N. 1970: A note on the solution matrix of a network. Geographical Analysis 2, 83-8.

1973: Some aspects of network theory. Geographica Polonica 25, 107-37.

Alexander, C. 1966: A city is not a tree. Design 206,47-53.

Andrews, H.F. 1977: The spatial context of the small world problem . Environment and Planning A 9, 1253-8.

Appel, K. and Haken, W. 1976: Every planar map is four colorable. Bulletin of the American Mathematical Society 82, 711-12.

Badcock, B.A. 1970: Central place evolution and network development in South Auckland, 1840-1968: a systems analytic approach. New Zealand Geographer 26, 109-35.

Bange, D.W. and Hoefer, J.N. 1976: A measure of connectivity for geographic regions . Professional Geographer 28, 362-70.

Bannister, G. 1976: Towards a model of impulse transmission for an urban system . Environment and Planning A 8, 385-96.

Barton, D.E. and David, F.N. 1966: The random intersection of two graphs. In David, F. N. , editor, Research papers in statistics , New York: John Wiley.

Batty, M. 1974a: Social power in plan generation. Town Planning Review 45, 291-310.

1974 b: Plan generation. University of Reading , Geographical Papers 25.

1974c: A theory of markovian design machines. Environment and Planning B I, 125-46.

Baxter, R.S. and Lenzi, G. 1975: The measurement of relative accessibility. Regional Studies 9, 15-26.

Berge, C. 1962: The theory of graphs and its applications. New York: John Wiley.

Black, W. 1971: An iterative model for generating transportation networks . Geographical Analysis 3, 183-7.

Board, C. , Davies, R.J. and Fair, T.D.J. 1970: The structure of the South African space economy: an integrated approach. Regional Studies 4, 367-92.

Boots, B.N. 1973: Some models of the random subdivision of space . Geografiska Annaler 55B, 34-48.

1975: Some observations on the structure of socio-economic cellular networks. Canadian Geographer 19, 107-20.

1977: Contact number properties in the study of cellular networks . Geographical Analysis 9, 377-87.

Brams, S.J. 1966: Transaction flows in the international system. The American Political Science Review 60, 880-98.

Britton, J.N.H. 1971: Methodology in flow analysis. East Lakes Geographer 7, 22-36.

Brown, J.R. and Harvey, M.E. 1977: The concept of market components and the spatial organization of periodic markets. Environment and Planning A 9, 1259-80.

Brown, L.A. and Horton, F.E. 1970: Functional distance: an operational approach. Geographical Analysis 2, 76-83.

Brown, L.A. , Odland, J. and Golledge, R. 1970: Migration, functional distance and the urban hierarchy . Economic Geography 40, 492-5.

Brown, L.A. and Holmes, J. 1971: The delimitation of functional regions, nodal regions, and hierarchies by functional distance approaches. Journal of Regional Science II, 57-72.

Burghart, A. 1969: The origin and development of the road network of the Niagara Peninsula, Ontario, 1770-1851. Annals of the Association of American Geographers 59, 417-40.

Burton, I. 1962: Accessibility in northern Ontario: an application of graph theory to regional highway network. Unpublished report to Ontario Department of Highways.

1963: The quantitative revolution and theoretical geography . Canadian Geographer 7, 151-62.

Busacker, R.G. and Saaty, T. 1965: Finite graphs and networks: an introduction with applications . New York: McGraw-Hill .

Campbell, J. 1972: Growth pole theory, digraph analysis and interindustry relationships. Tijdschrift voor Economische en Sociale Geografie 63, 79-87.

1974: Selected aspects of the interindustry structure of the State of Washington, 1967. Economic Geography 50, 35-46.

1975: Application of graph theoretical analysis to interindustry relationships: the example of Washington State. Regional Science and Urban Economics 5, 91-106.

Capobianco, M.F. 1970: Statistical inference in finite populations having structure . Transactions of the New York Academy of Sciences 32, 401-13.

Carter, F.W. 1969: An analysis of the medieval Serbian Oecumene: a theoretical approach. Geografiska Annaler 51B, 39.

Cates, D.B. 1978: Short-run structural change in an active network of declining connectivity. Professional Geographer 30, 9-13.

Christofides, N. 1975: Graph theory: an algorithmic approach. New York: Academic Press.

Clark, D. 1973: Communications and the urban future: a study of trunk telephone call patterns in Wales. Regional Studies 7, 3 15-21.

Clayton, C. 1974: Communication and spatial structure. Tijdschrift voor Economische en Sociale Geografie 65, 271-7.

1977: Interstate population migration process and structure in the United States, 1935 to 1970. Professional Geographer 24, 177-81.

Cliff, A.D. , Haggett, P. , Ord, J.K. , Bassett, K. and Davies, R. 1975: Elements of spatial structure. Cambridge : Cambridge University Press.

Cliff, A.D. and Ord, J.K. 1977: Algorithm 2: latent roots and vectors of an arbitrary real matrix. Environment and Planning A 9, 703-13.

Collins, L. 1974: An introduction to markov chain analysis. Catmog no. I . Norwich: Geo Abstracts .

Cope, D.R. 1967: A network analysis of the growth of the London underground system and its relationship to population changes, 1863-1972. BA dissertation, University of Cambridge.

Cowan, P. and Fine, D. 1969: On the number of links in a system. Regional Studies 3, 235-42.

Cummings, L. 1971: Ordering network nodes. Computer Applications in the Natural and Social Sciences 12, 1-9.

Cummings, L.P. , Manly, B.J. and Weinand, H.C. 1973: Measuring association in link-node problems. Geoforum 13, 43-51.

1974: Measuring association in link-node problems: a reply. Geoforum 17, 92.

Dacey, M.F. 1965: The geometry of central place theory, Geografiska Annaler B, 111-24.

Davies, W.K.D. 1968: The study of nodal structures: a rejoinder. Journal of the Town Planning Institute 54, 233-4.

Davies, W.K.D. and Robinson, G.W.S. 1968: The nodal structure of the Solent region. Journal of the Town Planning Institute 54, 18-22.

Davies, W.K.D. and Lewis, C.R. 1970: Regional structures in Wales: two studies of connectivity . In Carter, H. and Davies, W. K. D. editors, Urban essays in the geography of Wales, London: Longman.

Day, R.H. 1970: A theoretical note on the spatial diffusion of something new. Geographical Analysis 2, 68-76.

Dicks, T.R.B. 1972a: Network analysis and historical geography. Area 4, 4-9. 1972b: Reply to discussion on networks and Roman roads. Area 4, 120-1.

Domanski, R. 1970: Syntetyczna charakterystyka obszaru. Na przykladzie okregu Przemslowego Konin-Leczyca-Inowrowclaw [The synthetic characterization of a region. On the example of the Konin-Leczyca-Inowrowclaw industrial area] . Warsaw: Pamstavowe Wydawnictwo Naukowe.

Dunn, E.S. 1970: A flow network image of urban structure. Urban Structure 7, 239-58.

Dutta, G. 1976: The network pattern of Indian national highways from major urban centres to the national capital. Geographical Review of India 38, 121-31.

Eighmy, T.H. 1972: Rural periodic markets and the extension of an urban system: a Western Nigerian example. Economic Geography 48, 199-315.

Eliot-Hurst, M.E. 1973: Transportation and the societal framework. Economic Geography 49, 163-80.

Erdos, P. and Rényi, A. 1959: On random graphs. Publicationes Mathematical 6, 290-7.

1960 : On the evolution of random graphs. Publications of the Mathematical Institute of the Hungarian Academy of Sciences 5.

1961: On the evolution of random graphs. Bulletin de l'Institute de Statistique 38, 343-7.

Essam, J.W. and Fisher, M.E. 1970: Some basic definitions in graph theory. Reviews of Modern Physics (April supplement) 42, 271-88.

Fietz, T.R. 1975: A note on finding the shortest spanning tree of an incomplete connected graph by manual methods. Geographical Analysis 7, 311-14. 1976: A note on finding the shortest spanning tree of a graph by programmable methods . Geographical Analysis 8, 201-4.

Flament, C. 1963: Applications of graph theory to group structure . New York: Prentice-Hall.

Floyd, F.W. 1962: Algorithm 97: shortest path. Communications ACM 5, 345.

Ford, L.R. Jr and Fulkerson, D.R. 1956: Maximal flow through a network. Canadian Journal of Mathematics 8, 395-404.

Freeman, M.J. 1975: The stage coach system of South Hampshire, 1775-1851 . Journal of Historical Geography 1, 259-81.

Funnell, D.C. 1970: Methods of measuring the nodality of places on a transportation network—an assessment based on studies of the Uganda road system in Perception and Nodality, Department of Geography, Makerere University, Occasional Paper 15, 26-43.

1972: Service centres in Teso, Department of Geography Makerere University, Occasional Paper 46.

Garner, B.J. 1971: On powering of connectivity matrices: a technical comment . Paper presented to IGU European Regional Conference , Budapest, Commission on Quantitative Methods.

Garner, B.J. and Street, W.A. 1978: The solution matrix: alternative interpretations . Geographical Analysis 10, 185-90.

Garrison, W.L. 1960: Connectivity of the interstate highway system. Paper and Proceedings of the Regional Science Association 6, 121-37.

Garrison, W.L. and Marble, D.F. 1962: The structure of transportation networks. US Army Transportation Command, Technical Report, 62-11.

1964: Factor analytic study of the connectivity of a transportation network. Papers and Proceedings of the Regional Science Association 12, 231-8.

1965 : A prolegomenon to the forecasting of transportation development. Technical Report 65-35, prepared for the US Army. (Reprinted in Eliot Hurst, M. , editor, 1974: Transportation geography: comments and reading, New York : McGraw-Hill.)

Gauthier, H.L. 1968a: Transportation and the growth of the Sao Paulo economy . Journal of Regional Science, 8, 77-94.

1968b: Least-cost flows in a capacitated network: a Brazilian example. In Horton, F. editor, Geographic studies in urban transportation and network analysis, Northwestern University Studies in Geography 16.

Getis, A. and Boots, B.N. 1978: Models of spatial process. Cambridge : Cambridge University Press.

Golledge, R.G. 1968: Methods in Australian trade and transportation studies . In Dury, G. H. and Logan, M. I. , editors, Studies in Australian geography, London: Heineman.

Good, C.M. 1975: Periodic markets and travelling traders in Uganda . Geographical Review 65, 45-72.

Goodchild, M.F. 1977: An evaluation of lattice solutions to the problem of corridor location. Environment and Planning A 9, 727-38.

Gould, P.R. 1967: On the geographical interpretation of eigenvalues . Transactions of the Institute of British Geographers, 42, 53-86.

Griffith, D.A. 1976: Spatial structure and spatial interaction: a review . Environment and Planning A 8, 731-40.

Hadjifotiou, N. 1972: The analysis of migration between standard metropolitan labour market areas in England and Wales. University College , London: Department of Geography, Housing and Labour Mobility Group Working Paper 4.

Hafner, J.A. 1973: The spatial dynamics of rice milling and commodity flow in Central Thailand. Journal of Tropical Geography 3 7, 30-8.

Hagerstrand, T. 1973: The domain of human geography. In Chorley, R. J. , editor, Directions in geography , London: Methuen.

Haggett, P. 1965: Locational analysis in human geography. London: Edward Arnold.

1967 a: Network models in geography. In Chorley, R. J. and Haggett, P. , editors, Models in geography, London: Methuen.

1967b: On the extension of the Horton combinatorial algorithm to regional highway networks. Journal of Regional Science 7, 281-90.

1972 : Contagious processes in a planar graph: an epidemiological application. In McGlashan, N. , editor, Medicalgeography: techniques and field studies, London: Methuen.

Haggett, P. and Chorley, R.J. 1969: Network analysis in geography. London : Edward Arnold.

Haggett, P. , Cliff, A.D. and Frey, A. 1977: Locational analysis in human geography. London: Edward Arnold.

Hammond, N. 1972: The planning of a Maya ceremonial center. Scientific American 226, 83-91.

Harary, F. 1969: Graph theory. London: Addison-Wesley.

Harary, F. , Norman, R.Z. and Cartwright, D. 1965: Structural models: an introduction to the theory of directed graphs. New York: John Wiley.

Harary, F. and Rockey, J. 1976: A city is not a semi-lattice either. Environment and Planning A 8, 375-84.

Harvey, D.W. 1969: Explanation in geography. London : Edward Arnold.

Harvey, M.E. 1972: The identification of development regions in developing countries. Economic Geography 48, 229-43.

Harvey, M.E. , Hocking, R.T. and Brown, J.R. 1974: The chromatic travelling-salesman problem and its application to planning and structuring geographic space. Geographical Analysis 6, 33-52.

Hay, A.M. 1973: Transport for the space economy. London : Macmillan.

1974: Measuring association in link-node problems: a comment . Geoforum 17, 90-2.

1975: On the choice of methods in the factor analysis of connectivity matrices: a comment. Transactions of the Institute of British Geographers 66, 163-7.

Hay, A. and Smith, R.H.T. 1970: Interregional trade and money flows in Nigeria 1964. Ibadan, Nigeria: Oxford University Press.

Haynes, V.M. 1977: The modification of valley patterns by ice sheet activity . Geografiska Annaler 59A, 195-207.

Hebert, B. 1966: Use offactor analysis in graph theory to identify an underlying structure of transportation network. Ohio State University, Department of Geography (mimeo).

Hebert, B. and Murphy, E. 1971: Evolution of an accessibility surface: the case of the domestic United States air transport network. Proceedings of the Association of American Geographers 3, 75-80.

Higgs, G.K. , Ludwig, A.K. , Hinton, D.W. and Moss, T.C. 1976: Konig numbers as a measure of intraurban accessibility . Proceedings of the American Association of Geographers 8, 89-91.

Hindle, B.P. 1972: Discussion on networks and Roman roads. Area 4, 138—9.

Hirst, M.A. 1977: Hierarchical aggregation procedures for interaction data: a comment. Environment and Planning A 9, 99-103.

Hodgson, M.J. and Smith, B.G. 1975: Structural characteristics of the highway networks of Canada's three westernmost provinces. In Barr, B. M. , editor, British Columbia Geographical Series 22, Vancouver: Tantalus Research Ltd.

Hoefer, J.N. and Bange, D.W. 1978: A graph theoretical model of cartel formation and structure . Professional Geographer 30, 190-8.

Holmes, J.H. 1975: Flows analysis for functional regionalization: a critical review. Paper presented to the thirteenth annual conference of the Institute of Australian Geographers, Wollongong.

Holmes, J.H. and Haggett, P. 1975: Graph theory interpretation of flow matrices: a note on maximization procedurefor identifying significant links. Paper presented to the thirteenth annual conference of the Institute of Australian Geographers, Wollongong.

1977: Graph theory interpretation of flow matrices: a note on maximization procedures for identifying significant links. Geographical Analysis 9, 388-99.

Holsman, A.J. 1975: Interstate interaction patterns in Australia. Australian Geographical Studies 13, 41-61.

1977: The structure of Australian air networks. Australian Geographical Studies 15, 53-65.

Huff, D.L. 1960: A topographical (sic) model of consumer space preferences . Papers and Proceedings of the Regional Science Association 6, 159-73.

Hutchinson, P. 1972: A further Roman network. Area 4, 279-80.

Ionescu, H. , Dinescu, C. and Burlacu, V. 1969: Teoria grafeior cu unele aplicatii in economie [Graph theory and some applications in the economy]. Bucharest : Stiint.

Jackson, P. 1973: Some operational and conceptual problems of graph theory . Geographical Articles 14, 10-24 (Cambridge University, UK).

Jackson, R.T. 1972: Economic rationality amongst African rural traders . Geografiska Annaler 54B, 85-94.

James, G.A. , Cliff, A.D. , Haggett, P. and Ord, J.K. 1970: Some discrete distributions with applications to regional transport networks. Geografiska Annaler 52B, 14-21.

Kalashnikova, T.M. 1970: Napravleniye issledovanii effektivnostk territorial noy organizatsii proivodite nykh gil ekonomicheskogo rayora [Trends of investigation of the efficiency of the territorial productive forces of an economic region] . Voprosy Geografii 80, 80-8.

Kansky, K.J. 1963: The structure of transport networks. University of Chicago, Department of Geography, Research Paper 84.

1964 : Highway networks in southern Illinois and eastern North Carolina: self-evident relationships (mimeo.).

Kariel, H.G. and Welling, S.L. 1977: A nodal structure for Canadian cities using graph theory and newspaper datelines. Canadian Geographer 21, 148-63.

Khumawala, B.M. 1973: An efficient algorithm for the p-median problem with maximum distance constraints. Geographical Analysis 5, 309-21.

Kirby, H.R. 1976: Accessibility indices for abstract road networks . Regional Studies 10, 479-82.

Kissling, C.C. 1969: Linkage importance in a regional highway network . Canadian Geographer 13, 113-29.

Lamarche, R. 1978: A flow-graph techniquefor measuring urban system characteristics . Paper presented to the American Association of Geographers, New Orleans, April.

Lamarche, R. and Françon, J. 1975: Analyse et simulation topologiques en geographie . Cahiers de Geographie de Quebec 19, 189-207.

Langdale, J.V. 1975: Nodal regional structures of New South Wales. Australian Geographical Studies 13, 123-36.

Langton, J. 1972: Discussion on networks and Roman roads. Area 4, 137—8.

Latham, W.R. 1976: Needless complexity in the identification of industrial complexes. Journal of Regional Science 16, 45-55.

Leinbach, T.R. 1976: Transportation geography I: networks and flows . Progress in Geography 8, 177-207.

Leusmann, C.S. 1975: Uber einen einfachen Gleichgewichtsfluß in Netzwerken . Environment and Planning A 7, 127-40.

1976: Erganzender über die konnetivitatsmatrix von ungerichtete Netzen. Geoforum 7, 59-65.

Leusmann, C.S. and Slater, P.B. 1977: A functional regionalization program based on the standardization and hierarchical clustering of transaction flow tables. Computer Applications 4, 769-77.

Loboda, J. 1973: Rozwoj sieci nadajazej program telewizyjny w Polsce w ujeciu grafowym [Evolution of system of TV broadcasting network in Poland and its graph pattern]. Czasopismo Geograficzne 44, 13-31.

Lowe, J.C. and Moryadas, S. 1975: The geography of movement. Boston: Houghton Mifflin.

Lozano, E.E. , Sena, M. , Heitzman, D. and Cheng, C.H. 1974: Level of services and degree of accessibility: spatial urban simulation model. Regional Studies 8, 21-45.

Mabin, A.S. 1972: Some aspects of the spatial structure of the South African administrative system. The South African Geographical Journal 54, 124-32.

MacGill, S.M. 1977a: Theoretical properties of biproportional matrix adjustments . Environment and Planning A 687-701.

1977b: Simple hybrid input-output models: a graphical approach . Environment and Planning A 9, 1033-42.

Mackinnon, R.D. , Hodgson, M.J. and Bushnell, G.E. 1972: Transportation models for the southern Ontario and Quebec system of cities. In Bourne, L. S. and Mackinnon, R. D. , editors, Urban systems development in central Canada , Toronto and Buffalo: University of Toronto Press.

Marshall, J.U. 1975: The Löschian numbers as a problem in number theory . Geographical Analysis VII, 421-6.

1977: The construction of the Löschian landscape. Geographical Analysis IX, 1-13.

Medvedkov, Y.V. 1968a: An application of topology in Central Place Analysis. Papers of the Regional Science Association 20, 77-84.

1968b: Topological analysis of networks of inhabited places (in Russian). Voprosy Geografii 77, 159-67.

Migayi, M. 1966: Nodal regionalization of interstate highway system . Department of Geography, Ohio State University (mimeo.).

Mitchell, J. C. , editor, 1969: Social networks in urban situations. Manchester: Manchester University Press.

Monanu, D.C. and Hodgson, M.J. 1976: Problems in the application of graph theoretic measures to transportation network growth-a case study of Alberta highways. In Barr, B. M., editor, British Columbia Geographical Series 22, Vancouver: Tantalus Research Ltd.

Monmonier, M.S. 1972: Flow-linkage construction for spatial trend recognition . Geographical Analysis 4, 392-406.

Morley, C.D. and Thornes, J.B. 1972: A markov decision model for network flows. Geographical Analysis 4, 180-93.

Muraco, W.A. 1972: Intraurban accessibility. Economic Geography 48, 388-405.

Nutenko, L.Y. 1970: An information theory approach to the partititioning of an area. Soviet Geography I I, 540-4.

Nutenko, L.Y. and Poltorovich, V.M. 1968: Zadadian sinteza seti [A problem in network construction]. Voprosy Geografii 77, 115-22.

Nystuen, J.D. and Dacey, M.F. 1961: A graph theory interpretation of nodal regions. Papers of the Regional Science Association 7, 29-42.

Ore, O. 1963: Graphs and their uses. New York: Random House.

O'Sullivan, P.M. 1968: Accessibility and the spatial structure of the Irish economy . Regional Studies 2, 195-206.

1977: The spread of traffic effects and the regions of a network . Environment and Planning A 9, 917-26.

Oudheusden, D. L. Van 1977: Shortest distances in a modified transportation network . Geographical Analysis 9, 257-65.

Pfaltz, J.L. 1976: Surface networks. Geographical Analysis 8, 77-93.

Pitts, F.R. 1965: A graph theoretic approach to historical geography . Professional Geographer 17, 15-20.

Ponsard, C.I. 1967: Essai d'interpretation topologique de systèmes interrégionaux: les graphes de transfert et l'analyse de systèmes interregionaux [An essay on the topological interpretation of interregional systems: transfer graphs and the economic analysis of interregional systems]. Revue economique 3-4, 354-73 and 543-75.

1972: Zastosowamie teorii grafow do analizy przestrzennej in ekonomii [The application of graph theory to spatial analysis in economic science]. Przeglad Geograficzny 44, 63-72.

1977: Hierarchie des places centrales et graphes Φ-flous . Environment and Planning A 9, 1233-52.

Ramachandran, H. 1976: Analysis of network geometry—an evaluation of connectivity analysis. Geographical Review of India 38, 8 1-6.

Reed, W.E. 1970: Indirect connectivity and hierarchies of urban dominance . Annals of the Association of American Geographers 60, 770-85.

Riddell, J.B. 1973: An expansion of the Horton stream-ordering model to circuited transportation networks. Geographical Analysis 5, 351-7.

Riddell, J.B. and Harvey, M.E. 1972: The urban system in the migration process: an evaluation of step-wise migration in Sierra Leone. Economic Geography 48, 270-83.

Rimmer, P.J. 1971: Transport in Thailand: the railway decision. Canberra: Australian National University .

Roberts, F.S. 1971: Signed digraphs and the growing demand for energy . Environment and Planning 3, 395-410.

1973: Building and analysing an energy demand signed digraph . Environment and Planning 5, 199-221.

1975: Weighted digraph models for the assessment of energy uses and air pollution in transportation systems. Environment and Planning A 7, 703-24.

Rouget, B. 1972: Graph theory and hierarchization models. Regional and Urban Economics 2, 263-96.

Royaltey, H.H. , Astrachan, E. and Sokal, R.R. 1975: Tests for patterns in geographic variation. Geographical Analysis 7, 369-95.

Sadhukhan, S.K. 1976: Spatial distribution of connectivity and the level of economic development in India. Geographical Review of India 38, 368-73.

Scarlig, A. 1969: Localization optimale et théorie des graphes [Optimal location and graph theory]. Cahiers, Vilfredo Pareto, Geneve 19, 1-156.

Schmidt, C.G. 1975: Firm linkage structure and structural change-a graph theoretical analysis. Economic Geography 51, 27-36.

Schwind, P.J. 1971: Spatial preferences of migrants for regions: the example of Maine. Proceedings of the Association of American Geographers 3, 150-6.

Scott, A.J. 1967: An integer program for the optimization of a system of chromatic graphs. Journal of Regional Science 7, 291-6.

1971 : Combinatorial programming, spatial analysis and planning . London: Methuen.

Searle, G.H. 1973: New South Wales' regions: some implications. The Australian Geographer 12, 197-206.

Semple, R.K. and Wang, L.H. 1970: A geographical analysis of redundancy in interurban transportation links. University of Toronto, Department of Geography, Discussion Paper no. 5.

1971: A geographical analysis of changing redundancy in interurban transportation links. Geografiska Annaler 53B, 1-5.

Shimbel, A. 1953: Structure parameters of telecommunication networks. Bulletin of Mathematical Biophysics 15, 501-7.

Simmons, J.W. 1970: Patterns of interaction within Ontario and Quebec . University of Toronto Centre for Urban and Community Studies, Research Paper 41.

1972 : Interaction among the cities of Ontario and Quebec. In Bourne, L. S. and Mackinnon, R. D. , editors, Urban systems development in central Canada, Toronto and Buffalo : University of Toronto Press.

Slater, P.B. undated a: An algorithmfor determining the regions of a map. Regional Research Institute, West Virginia University.

undated b: Transaction flows and assignment problem. Regional Research Institute, West Virginia University.

1974a: College student mobility in the United States in fall 1968: graph theoretic structuring of transaction flows. Proceedings of the American Statistical Association, Social Statistics Section 440-6.

1974b: Exploratory analysis of interindustrial transaction tables . Environment and Planning A 6, 107-14.

1975: A hierarchical regionalization of RSFSR administrative units using 1966-69 migration data. Soviet Geography 16, 453-65.

1976a: A hierarchical regionalization of Japanese prefectures using 1972 interprefectural migration flows. Regional Studies 10, 123-32.

1976b: Hierarchical internal migration regions of France. IEEE Transactions on Man and Cybernetics 10, 123-32.

1976c: A hierarchical regionalization of state economic areas based upon migration flows. Review of Public Data Use 4, 32-56.

1976d: A multiterminal network flow analysis of an unadjusted Spanish inter-provincial migration table. Environment and Planning A 8, 875-8.

1977: A hierarchical regionalization of Indian states based on 1961 interstate migration. Geographical Review of India 39, 39-41.

Smith, J.A. 1974: Regional inequalities in internal communications: the case of Uganda. In Hoyle, B. S. , editor, Spatial aspects of development, Chichester : John Wiley.

Soja, E.W. 1968a: Communication and territorial integration on East Africa-an introduction to transaction flow analysis. East Lakes Geographer 4, 39-57. 1968b: The geography of modernization in Kenya. Syracuse Geographical Series 2, 143.

Stephenson, L.K. 1974: On functional regions and indirect flows. Geographical Analysis 6, 382-5.

Stoneham, A.K.M. 1977: The small-world problem in a spatial context. Environment and Planning A 9, 185-95.

Stutz, F.P. 1973: Accessibility and the effect of scalar variations on the powered transportation connection matrix. Geographical Analysis 5, 61-6.

Symanski, R. and Webber, M.J. 1974: Complex periodic cycles. Annals of the Association of American Geographers 64, 208-13.

Taafe, E.J. and Gauthier, H.L. 1973: Geography of transportation. New York : Prentice-Hall.

Taafe, E.J. , Morrill, R.L. and Gould, P.R. 1963: Transport expansion in underdeveloped countries: a comparative analysis. Geographical Review 53, 503-29.

Tapiero, C.S. and Boots, B.N. 1974: Structural inference in transportation networks . Environment and Planning A 6, 41 1-18.

Tapiero, C.S. , Capobianco, M.F. and Lewin, A.Y. 1975: Structural inference in organizations. Journal of Mathematical Sociology 4, 121-30.

Tarkhov, S.A. 1975: Prilozheniye teorii gratov k amalizu konfiguratsiy gorodov [The application of the theory of graphs to the analysis of the configuration of towns]. Vestnik moskovskogo Univeriteta, Seriya Geogratiya 2, 86-9.

Taylor, Z. 1974: Zastosowania metod grafowych w badaniach przestrzennoekonomicznych [The application of graph methods in spatial economic research]. Czasopisuno Geograficzne 45, 337-48.

1976: Accessibility of urban transport systems: the case of Poznan city. Geographica Polonica 33, 121-41.

Thorpe, D. 1968: Some comments on the nodal structure of the Solent region . Journal of the Town Planning Institute 54, 177-8.

Tinkler, K.J. 1972a: Physical interpretation of eigenfunctions of dichotomous matrices. Transactions of the Institute of British Geographers 55, 17-46.

1972b: Bounded planar networks: a theory of radial structures . Geographical Analysis 4, 5-33.

1973a: The topology of rural periodic market systems. Geografiska Annaler 55, 121-33.

1973b: A theory of the region. East African Geographical Review 11, 5-22.

1973c: Letter to the Editor. Transactions of the Institute of British Geographers 58, 149-50.

1974: On summing power series expansions of accessibility matrices by the inverse method. Geographical Analysis 6, 175-8.

1975a: On the choice of methods in the factor analysis of connectivity matrices: a reply. Transactions of the Institute of British Geographers 66, 168-71.

1975b: Access in several networks used successively. Area 7, 296-9.

1976a: On functional regions and indirect flows. Geographical Analysis 8, 205-13.

1976 b: The expected distribution of nodality in random (p, q) graphs and multigraphs. Paper presented to East Lakes Division, Association of American Geographers, 16 October 1976.

1977 a: An introduction to graph theoretical methods in Geography . Catmog no. 14, Norwich: Geo Abstracts.

1977 b: Joint statistics for all two-colour lattices up to 16 x 16 (non-free sampling). St Catharines: Brock University.

1978 a: Characterizing graphs of networks which all have the same local structure. Paper presented to the Association of American Geographers, April 1978.

1978b: A coordinate system for studying interactions in the primary Christaller lattice. Professional Geographer 3, 135-9.

1979 : A comment on the solution matrix. Forthcoming: Geographical Analysis.

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