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Algebraic Graph Theory

by: Chris Godsil, Gordon Royle
(20 April 2001)

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  • Chapter 8 (Matrix theory) Example of cospectral non-isomorphic graphs. Spectrum determines edges and rectangles.
  • Rank r implies decomposition into r-2s symmetric rank 1 matrices, s symmetric rank 2 matrices
  • GF(2) rank-1 decompositions, GF(2) rank carries more information than regular rank
yaroslavvb (public ) - 2007-12-14 08:09:38

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This book is primarily aimed at graduate students and researchers in graph theory, combinatorics, or discrete mathematics in general. However, all the necessary graph theory is developed from scratch, so the only pre-requisite for reading it is a first course in linear algebra and a small amount of elementary group theory. It should be accessible to motivated upper-level undergraduates.


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