Linear algebra in geography: Eigenvectors of networks

• Main Authors: Pablo, Elleonor A., Polintan, Daisy D.
• Format: text
• Language: English
• Published: Animo Repository 1998
• Subjects: Algebras, Linear; Geography > Mathematics; Eigenvectors; Matrices; Geography > Network analysis
• Online Access: https://animorepository.dlsu.edu.ph/etd_bachelors/16508
• Institution: De La Salle University

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.