Eigenvalues of graphs

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thesis_Nosal_1970.pdf (17.46 MB)

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1970

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In this work I study the relation between the geometric properties of a graph G and the eigenvalues of its adjacency matrix A(G). We show that it is possible to make use of "the spectral theory of graphs" in order to identify certain properties of a graph. For example from the eigenvalues of G we are able to decide whether or not G is regular, bipartite, without triangles.

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Bibliography: p. 55-56.

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Nosal, E. (1970). Eigenvalues of graphs (Master's thesis, University of Calgary, Calgary, Canada). Retrieved from https://ucalgary.scholaris.ca. doi:10.11575/PRISM/21350

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http://hdl.handle.net/1880/13369

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