Linear algebra in geography: Eigenvectors of networks

Date of Publication

1998

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Abstract/Summary

The discussion of this paper was based on the article Linear Algebra in Geography: Eigenvectors of Networks by Philip D. Straffin, Jr. It discussed a particular index of accessibility for each vertex in the network, in which manipulation through graphs, matrices, eigenvalues and eigenvectors produced numbers which were called the accessibility index . Concepts from linear algebra were used to develop two different models to justify Gould's index. These models are the relative number of paths joining each vertex to all vertices in the graph and the equilibrium distribution of a rumor spreading in the graph from any vertex. In both cases, Gould's index reflected the relative accessibility of the different vertices in the network.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU08782

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Physical Description

83 leaves

Keywords

Algebras, Linear; Geography--Mathematics; Eigenvectors; Matrices; Geography--Network analysis

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