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Comments on the Use of Eigenfunctions to Measure Structural Properties of Geographic Networks

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  • B N Boots

    (Department of Geography, Wilfrid Laurier University, Waterloo, Ontario N2L 3C5, Canada)

Abstract

The use of eigenfunctions has been proposed to measure spatial structure in networks. So far, however, there has been a paucity of applications of the approach, particularly to cellular networks (mosaics). This study uses specially constructed cellular networks which possess very similar degree vectors but dissimilar arrangements of vertex degrees to test the effectiveness of the approach. The results of this test indicate that there are several considerable limitations inherent in the procedure.

Suggested Citation

  • B N Boots, 1982. "Comments on the Use of Eigenfunctions to Measure Structural Properties of Geographic Networks," Environment and Planning A, , vol. 14(8), pages 1063-1072, August.
    • Handle: RePEc:sae:envira:v:14:y:1982:i:8:p:1063-1072
    DOI: 10.1068/a141063
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    Cited by:

    1. Miranowski, John & Monchuk, Daniel C., 2004. "Innovative Behavior and Spatial Location - Using Patent Counts and Geographic Location to Estimate Innovative Spillins," Staff General Research Papers Archive 12201, Iowa State University, Department of Economics.
    2. Juan C. Duque & Alejandro Betancourt & Freddy Marin, 2013. "An algorithmic approach for simulating realistic irregular lattices," Documentos de Trabajo de Valor Público 10937, Universidad EAFIT.

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