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Algebraic Graph Theory

Morphisms, Monoids and Matrices

Graph models are extremely useful for a large number of applications as they play an important role as structuring tools. They allow to model net structures – like roads, computers, telephones, social networks – instances of abstract data structures – like lists, stacks, trees – and functional or object oriented programming. The focus of this highly self-contained book is on homomorphisms and endomorphisms, matrices and eigenvalues.

  • Discusses connections between graphs and semigroups/monoids.
  • Studies several types of graph morphisms which are of interest for many applications.
  • New material includes characteristics and current results on Cayley graphs, and new figures.

Author Information

Ulrich Knauer, Carl von Ossietzky Universität Oldenburg, Germany; Kolja Knauer, Université Aix-Marseille, France.

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Edition: 2nd rev. and ext. ed.
Audience: Graduate students and researchers in mathematics and computer science.