Algebraic Graph Theory : Morphisms, Monoids and Matrices
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| Title: | Algebraic Graph Theory : Morphisms, Monoids and Matrices |
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| 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. |
| Authors: | Ulrich Knauer |
| Resource Type: | eBook. |
| Subjects: | Algebraic topology, Graph theory |
| Categories: | MATHEMATICS / General, MATHEMATICS / Algebra / General, MATHEMATICS / Discrete Mathematics, MATHEMATICS / Group Theory, MATHEMATICS / Matrices, MATHEMATICS / Combinatorics |
| Database: | eBook Collection (EBSCOhost) |
| Abstract: | 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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| ISBN: | 9783110254082 9783110255096 |
