東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Algebraic elements of graphs

Liu, Yanpei.

FindBook

Google Book

Amazon

博客來

Algebraic elements of graphs

紀錄類型:	書目-電子資源 : 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:	Representations of graphs. -
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:

952056
Representations of graphs.

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

Dewey Class. No.: 511.5

Algebraic elements of graphs
LDR:02651cmm a2200325 a 4500 001 2311159
003 DE-B1597
005 20210830012106.0
006 m o d
007 cr cnu---unuuu
008 230722s2017 gw a ob 001 0 eng d
020 $a 9783110481846 $q (PDF)
020 $a 9783110480757 $q (EPUB)
020 $z 9783110480733
024 7 $a 10.1515/9783110481846 $2 doi
035 $a 9783110481846
040 $a DE-B1597 $b eng $c DE-B1597
041 0 $a eng
044 $a gw $c DE
050 4 $a QA166.242 $b .L589 2017
082 0 4 $a 511.5 $2 23
100 1 $a Liu, Yanpei. $3 3620520
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 Representations of graphs. $3 952056
650 0 $a Representations of algebras. $3 572480
650 0 $a Associative algebras. $3 540541
710 2 $a University of Science and Technology China Press. $3 3620521
856 4 0 $u http://www.degruyter.com/isbn/9783110481846