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Words and graphs

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Words and graphs/ by Sergey Kitaev, Vadim Lozin.
作者:	Kitaev, Sergey.
其他作者:	Lozin, Vadim.
出版者:	Cham :Imprint: Springer, : 2015.,
面頁冊數:	xviii, 264 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Algebra. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-25859-1
ISBN:	9783319258591

Words and graphs
Kitaev, Sergey.

Words and graphs[electronic resource] /by Sergey Kitaev, Vadim Lozin. - Cham :Imprint: Springer,2015. - xviii, 264 p. :ill., digital ;24 cm. - Monographs in theoretical computer science. An EATCS series,1431-2654. - Monographs in theoretical computer science.An EATCS series..

Introduction -- Hereditary Classes of Graphs -- What Word-Representable Graphs Are and Where They Come From -- Characterization of Word-Representable Graphs in Terms of Semi-transitive Orientations -- Various Results on Word-Representable Graphs -- Open Problems and Further Research Directions on Word-Representable Graphs -- Interrelations Between Words and Graphs in the Literature -- More on Interrelations Between Words and Graphs in the Literature -- App. A: Graph Theory Background -- App. B: Beyond Graph Theory Background.

This is the first comprehensive introduction to the theory of word-representable graphs, a generalization of several classical classes of graphs, and a new topic in discrete mathematics. After extensive introductory chapters that explain the context and consolidate the state of the art in this field, including a chapter on hereditary classes of graphs, the authors suggest a variety of problems and directions for further research, and they discuss interrelations of words and graphs in the literature by means other than word-representability. The book is self-contained, and is suitable for both reference and learning, with many chapters containing exercises and solutions to seleced problems. It will be valuable for researchers and graduate and advanced undergraduate students in discrete mathematics and theoretical computer science, in particular those engaged with graph theory and combinatorics, and also for specialists in algebra.

ISBN: 9783319258591

Standard No.: 10.1007/978-3-319-25859-1doiSubjects--Topical Terms:

579870
Algebra.

LC Class. No.: QA166

Dewey Class. No.: 511.5

Words and graphs
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520 $a This is the first comprehensive introduction to the theory of word-representable graphs, a generalization of several classical classes of graphs, and a new topic in discrete mathematics. After extensive introductory chapters that explain the context and consolidate the state of the art in this field, including a chapter on hereditary classes of graphs, the authors suggest a variety of problems and directions for further research, and they discuss interrelations of words and graphs in the literature by means other than word-representability. The book is self-contained, and is suitable for both reference and learning, with many chapters containing exercises and solutions to seleced problems. It will be valuable for researchers and graduate and advanced undergraduate students in discrete mathematics and theoretical computer science, in particular those engaged with graph theory and combinatorics, and also for specialists in algebra.
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