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Algebraic elements of graphs

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Algebraic elements of graphs/ Yanpei Liu.
作者:	Liu, Yanpei.
出版者:	Berlin :De Gruyter, : c2017.,
面頁冊數:	1 online resource (xii, 410 p.) :ill. :
標題:	Associative algebras. -
電子資源:	http://www.degruyter.com/isbn/9783110481846
ISBN:	9783110481846

Algebraic elements of graphs
Liu, Yanpei.

Algebraic elements of graphs[electronic resource] /Yanpei Liu. - 1st ed. - Berlin :De Gruyter,c2017. - 1 online resource (xii, 410 p.) :ill.

Includes bibliographical references and indexes.

Frontmatter --

This book studies algebraic representations of graphs in order to investigate combinatorial structures via local symmetries. Topological, combinatorial and algebraic classifications are distinguished by invariants of polynomial type and algorithms are designed to determine all such classifications with complexity analysis. Being a summary of the author‘s original work on graph embeddings, this book is an essential reference for researchers in graph theory. ContentsAbstract GraphsAbstract MapsDualityOrientabilityOrientable MapsNonorientable MapsIsomorphisms of MapsAsymmetrizationAsymmetrized Petal BundlesAsymmetrized MapsMaps within SymmetryGenus PolynomialsCensus with PartitionsEquations with PartitionsUpper Maps of a GraphGenera of a GraphIsogemial GraphsSurface Embeddability.

In English.

ISBN: 9783110481846

Standard No.: 10.1515/9783110481846doiSubjects--Topical Terms:

686514
Associative algebras.

LC Class. No.: QA166.242 / .L589 2017

Dewey Class. No.: 511.5

Algebraic elements of graphs
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245 1 0 $a Algebraic elements of graphs $h [electronic resource] / $c Yanpei Liu.
250 $a 1st ed.
260 $a Berlin : $b De Gruyter, $c c2017.
300 $a 1 online resource (xii, 410 p.) : $b ill.
504 $a Includes bibliographical references and indexes.
505 0 0 $t Frontmatter -- $t Preface (DG Edition) -- $t Preface (USTC Edition) -- $t Contents -- $t 1. Abstract Graphs -- $t 2. Abstract Maps -- $t 3. Duality -- $t 4. Orientability -- $t 5. Orientable Maps -- $t 6. Nonorientable Maps -- $t 7. Isomorphisms of Maps -- $t 8. Asymmetrization -- $t 9. Asymmetrized Petal Bundles -- $t 10. Asymmetrized Maps -- $t 11. Maps within Symmetry -- $t 12. Genus Polynomials -- $t 13. Census with Partitions -- $t 14. Equations with Partitions -- $t 15. Upper Maps of a Graph -- $t 16. Genera of a Graph -- $t 17. Isogemial Graphs -- $t 18. Surface Embeddability -- $t Appendix 1: Concepts of Polyhedra, Surfaces, Embeddings and Maps -- $t Appendix 2: Table of Genus Polynomials for Embeddings and Maps of Small Size -- $t Appendix 3: Atlas of Rooted and Unrooted Maps for Small Graphs -- $t Bibliography -- $t Author Index -- $t Subject Index.
520 $a This book studies algebraic representations of graphs in order to investigate combinatorial structures via local symmetries. Topological, combinatorial and algebraic classifications are distinguished by invariants of polynomial type and algorithms are designed to determine all such classifications with complexity analysis. Being a summary of the author‘s original work on graph embeddings, this book is an essential reference for researchers in graph theory. ContentsAbstract GraphsAbstract MapsDualityOrientabilityOrientable MapsNonorientable MapsIsomorphisms of MapsAsymmetrizationAsymmetrized Petal BundlesAsymmetrized MapsMaps within SymmetryGenus PolynomialsCensus with PartitionsEquations with PartitionsUpper Maps of a GraphGenera of a GraphIsogemial GraphsSurface Embeddability.
546 $a In English.
588 0 $a Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021)
650 0 $a Associative algebras. $3 686514
650 0 $a Representations of algebras. $3 902229
650 0 $a Representations of graphs. $3 1069258
710 2 $a University of Science and Technology China Press. $3 1406134
856 4 0 $u http://www.degruyter.com/isbn/9783110481846