The Classification of Minimal Graphs with Given Abelian Automorphism Group
The Classification of Minimal Graphs with Given Abelian Automorphism Group

Author: William C. Arlinghaus

Publisher: American Mathematical Soc.

Published: 1985

Total Pages: 98

ISBN-13: 0821823310

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Any finite abstract group can be realized as the automorphism group of a graph. The purpose of this memoir is to find the realization, for each finite abelian group, with the least number of vertices possible. The results are extended to all finite abelian groups. Thus a complete classification is provided for minimal graphs with given finite abelian automorphism group.

Algebraic Graph Theory
Algebraic Graph Theory

Author: Ulrich Knauer

Publisher: Walter de Gruyter

Published: 2011-09-29

Total Pages: 325

ISBN-13: 311025509X

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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.

Scientific and Technical Aerospace Reports
Scientific and Technical Aerospace Reports

Author:

Publisher:

Published: 1980

Total Pages: 732

ISBN-13:

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Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

Applications of Group Theory to Combinatorics
Applications of Group Theory to Combinatorics

Author: Jack Koolen

Publisher: CRC Press

Published: 2008-07-02

Total Pages: 194

ISBN-13: 0203885767

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Applications of Group Theory to Combinatorics contains 11 survey papers from international experts in combinatorics, group theory and combinatorial topology. The contributions cover topics from quite a diverse spectrum, such as design theory, Belyi functions, group theory, transitive graphs, regular maps, and Hurwitz problems, and present the state