Graphs and Cubes
(Sprache: Englisch)
This introductory text in graph theory focuses on partial cubes, which are graphs that are isometrically embeddable into hypercubes of an arbitrary dimension, as well as bipartite graphs, and cubical graphs. Currently, Graphs and Cubes is the only book...
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Produktinformationen zu „Graphs and Cubes “
This introductory text in graph theory focuses on partial cubes, which are graphs that are isometrically embeddable into hypercubes of an arbitrary dimension, as well as bipartite graphs, and cubical graphs. Currently, Graphs and Cubes is the only book available on the market that presents a comprehensive coverage of cubical graph and partial cube theories. While the book is intended for lower-division graduate students in mathematics, it will be of interest to a much wider audience; because of their rich structural properties, partial cubes appear in theoretical computer science, coding theory, genetics, and even the political and social sciences.
Klappentext zu „Graphs and Cubes “
This introductory text in graph theory focuses on partial cubes, which are graphs that are isometrically embeddable into hypercubes of an arbitrary dimension, as well as bipartite graphs, and cubical graphs. This branch of graph theory has developed rapidly during the past three decades, producing exciting results and establishing links to other branches of mathematics. Currently, Graphs and Cubes is the only book available on the market that presents a comprehensive coverage of cubical graph and partial cube theories. Many exercises, along with historical notes, are included at the end of every chapter, and readers are encouraged to explore the exercises fully, and use them as a basis for research projects.
The prerequisites for this text include familiarity with basic mathematical concepts and methods on the level of undergraduate courses in discrete mathematics, linear algebra, group theory, and topology of Euclidean spaces. While the book is intended for lower-division graduate students in mathematics, it will be of interest to a much wider audience; because of their rich structural properties, partial cubes appear in theoretical computer science, coding theory, genetics, and even the political and social sciences.
Inhaltsverzeichnis zu „Graphs and Cubes “
Preface.- 1 Graphs.- 2 Bipartite Graphs.- 3 Cubes.- 4 Cubical Graphs.- 5 Partial Cubes.- 6 Lattice Embeddings.- 7 Hyperplane Arrangements.- 8 Token Systems.- Notation.- Reference.- Index
Autoren-Porträt von Sergei Ovchinnikov
Sergei Ovchinnikov is currently a mathematics professor at San Francisco State University.
Bibliographische Angaben
- Autor: Sergei Ovchinnikov
- 2011, 2011, XIII, 287 Seiten, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 1461407966
- ISBN-13: 9781461407966
Sprache:
Englisch
Rezension zu „Graphs and Cubes “
From the reviews:"This book focuses on a class of bipartite graphs known as partial cubes, which are subgraphs of hypercubes (cubes) that allow isometric embeddings into a cube. ... the book is aimed at lower-level graduate students. ... Ample problems ... as well as historic notes and suggested reading are available at the end of each chapter. ... Overall, it is a good development of the subject. Summing Up: Recommended. Upper-division undergraduates and above." (J. R. Burke, Choice, Vol. 49 (9), May, 2012)
Pressezitat
From the reviews:"This book focuses on a class of bipartite graphs known as partial cubes, which are subgraphs of hypercubes (cubes) that allow isometric embeddings into a cube. ... the book is aimed at lower-level graduate students. ... Ample problems ... as well as historic notes and suggested reading are available at the end of each chapter. ... Overall, it is a good development of the subject. Summing Up: Recommended. Upper-division undergraduates and above." (J. R. Burke, Choice, Vol. 49 (9), May, 2012)
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