Evaluating Principal Eigenvalues as Measures of Network Structure

Abstract

Geographical AnalysisVolume 16, Issue 3 p. 270-275 Free Access Evaluating Principal Eigenvalues as Measures of Network Structure B. N. Boots, B. N. Boots A version of this paper was presented at the Annual Meetings, Association of American Geographers, Denver, April 1983. The author is grateful to Pam Schaus, who drew the figures, and to Lilian Peirce, who typed the manuscript. B. N. Boots is professor of geography, Wilfred Laurier University, Waterloo.Search for more papers by this author B. N. Boots, B. N. Boots A version of this paper was presented at the Annual Meetings, Association of American Geographers, Denver, April 1983. The author is grateful to Pam Schaus, who drew the figures, and to Lilian Peirce, who typed the manuscript. B. N. Boots is professor of geography, Wilfred Laurier University, Waterloo.Search for more papers by this author First published: July 1984 https://doi.org/10.1111/j.1538-4632.1984.tb00814.xCitations: 16 A version of this paper was presented at the Annual Meetings, Association of American Geographers, Denver, April 1983. The author is grateful to Pam Schaus, who drew the figures, and to Lilian Peirce, who typed the manuscript. B. N. Boots is professor of geography, Wilfred Laurier University, Waterloo. AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinkedInRedditWechat LITERATURE CITED Amrhein, C., J. Guevera, and D. Griffith (1983). “The Effect of Random Thiessen Structure and Random Processes on the Measurement of Spatial Autocorrelation”. Proceedings, 14th Annual Pittsburgh Modelling and Simulation Conference, University of Pittsburgh. Boots, B. N. (1982). “Comments on Using Eigenfunctions to Measure Structural Properties of Networks. Environment and Planning A, 14, 1063– 72. Cliff, A. D., P. Haggett, and J. K. Ord (1979). “ Graph Theory and Geography”. In Applications of Graph Theory, edited by R. J. Wilson and L. W. Beineke, pp. 293– 326. London: Academic Press. Cliff, A. D., and J. K. Ord (1977). “Algorithm 2: Latent Roots and Vectors of an Arbitrary Real Matrix. Environment and Planning A, 9, 703– 13. Griffith, D. (1981). “Synthesizing Urban Spatial Structure: A Case Study of Toronto”. Paper presented at the 77th Annual Association of American Geographers Meetings, Los Angeles. Griffith, D. (1984). “ Measuring the Arrangement Property of a System of Areal Units Generated by Partitioning a Planar Surface”. In Recent Developments in Spatial Data Analysis: Methodology, Measurement, Models, edited by G. Bahrenberg, M.M. Fischer, and P. Nylramp, pp. 191– 200. Alderdrot, U.K.: Gower. Griffith, D. A., and K. G. Jones (1980). “Explorations in the Relationship between Spatial Structure and Spatial Interaction. Environment and Planning A, 12, 187– 201. Schwenk, A. J., and R. J. Wilson (1979). “ On the Eigenvalues of a Graph”. In Selected Topics in Graph Theory, edited by L. W. Beineke and R. J. Wilson, pp. 307– 36. London: Academic Press. Tinkler, K. J. (1972). “The Physical Interpretation of Eigenfunctions of Dichotomous Matrices. Transactions, Institute of British Geographers, 55, 17– 46. Tinkler, K. J. (1977). An Introduction to Graph Theory Methods in Geography. Norwich: Geo-Abstracts. Citing Literature Volume16, Issue3July 1984Pages 270-275 ReferencesRelatedInformation