Algebraic Graph Theory: Morphisms, Monoids and Matrices

Algebraic Graph Theory: Morphisms, Monoids and Matrices book cover

Algebraic Graph Theory: Morphisms, Monoids and Matrices

Author(s): Ulrich Knauer (Author)

  • Publisher: De Gruyter
  • Publication Date: 16 Sept. 2011
  • Edition: First Edition
  • Language: English
  • Print length: 324 pages
  • ISBN-10: 3110254085
  • ISBN-13: 9783110254082

Book Description

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.

Editorial Reviews

About the Author

Ulrich Knauer, Carl von Ossietzky Universität Oldenburg, Germany.

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