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Algebraic Graph Theory: Morphisms, Monoids and Matrices (De Gruyter Studies in Mathematics, Vol. 41)

ISBN: 9783110254082
Publisher: De Gruyter
Edition: 1st
Publication Date: 2011-09-16
Number of pages: 308
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Graph models are extremely useful for almost all applications and applicators as they play an important role as structuring tools. They allow to model net structures - like roads, computers, telephones - instances of abstract data structures - like lists, stacks, trees - and functional or object oriented programming. In turn, graphs are models for mathematical objects, like categories and functors.

This highly self-contained book about algebraic graph theory is written with a view to keep the lively and unconventional atmosphere of a spoken text to communicate the enthusiasm the author feels about this subject. The focus is on homomorphisms and endomorphisms, matrices and eigenvalues. It ends with a challenging chapter on the topological question of embeddability of Cayley graphs on surfaces.

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