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Author: Edward R. Scheinerman
Publisher: Courier Corporation
Published: 2013-04-29
Total Pages: 242
ISBN-13: 0486292134
DOWNLOAD EBOOKThis volume explains the general theory of hypergraphs and presents in-depth coverage of fundamental and advanced topics: fractional matching, fractional coloring, fractional edge coloring, fractional arboricity via matroid methods, fractional isomorphism, and more. 1997 edition.
Author: Claude Berge
Publisher:
Published: 1978
Total Pages: 78
ISBN-13: 9780333902707
DOWNLOAD EBOOKNotes of a lecture delivered by the author at the Indian Statistical Institute, New Delhi.
Author: Ronald Gould
Publisher: Courier Corporation
Published: 2013-10-03
Total Pages: 353
ISBN-13: 0486320367
DOWNLOAD EBOOKAn introductory text in graph theory, this treatment covers primary techniques and includes both algorithmic and theoretical problems. Algorithms are presented with a minimum of advanced data structures and programming details. 1988 edition.
Author: Chris Godsil
Publisher: Springer Science & Business Media
Published: 2001-04-20
Total Pages: 468
ISBN-13: 9780387952208
DOWNLOAD EBOOKThis book is primarily aimed at graduate students and researchers in graph theory, combinatorics, or discrete mathematics in general. However, all the necessary graph theory is developed from scratch, so the only pre-requisite for reading it is a first course in linear algebra and a small amount of elementary group theory. It should be accessible to motivated upper-level undergraduates.
Author: Lowell W. Beineke
Publisher: Cambridge University Press
Published: 2015-05-07
Total Pages: 416
ISBN-13: 1316239853
DOWNLOAD EBOOKChromatic graph theory is a thriving area that uses various ideas of 'colouring' (of vertices, edges, and so on) to explore aspects of graph theory. It has links with other areas of mathematics, including topology, algebra and geometry, and is increasingly used in such areas as computer networks, where colouring algorithms form an important feature. While other books cover portions of the material, no other title has such a wide scope as this one, in which acknowledged international experts in the field provide a broad survey of the subject. All fifteen chapters have been carefully edited, with uniform notation and terminology applied throughout. Bjarne Toft (Odense, Denmark), widely recognized for his substantial contributions to the area, acted as academic consultant. The book serves as a valuable reference for researchers and graduate students in graph theory and combinatorics and as a useful introduction to the topic for mathematicians in related fields.
Author: Pavol Hell
Publisher: OUP Oxford
Published: 2004-07-22
Total Pages: 260
ISBN-13: 0191523720
DOWNLOAD EBOOKThis is a book about graph homomorphisms. Graph theory is now an established discipline but the study of graph homomorphisms has only recently begun to gain wide acceptance and interest. The subject gives a useful perspective in areas such as graph reconstruction, products, fractional and circular colourings, and has applications in complexity theory, artificial intelligence, telecommunication, and, most recently, statistical physics. Based on the authors' lecture notes for graduate courses, this book can be used as a textbook for a second course in graph theory at 4th year or master's level and has been used for courses at Simon Fraser University (Vancouver), Charles University (Prague), ETH (Zurich), and UFRJ (Rio de Janeiro). The exercises vary in difficulty. The first few are usually intended to give the reader an opportunity to practice the concepts introduced in the chapter; the later ones explore related concepts, or even introduce new ones. For the harder exercises hints and references are provided. The authors are well known for their research in this area and the book will be invaluable to graduate students and researchers alike.
Author: D. A. Holton
Publisher: Cambridge University Press
Published: 1993-04-22
Total Pages: 367
ISBN-13: 0521435943
DOWNLOAD EBOOKThe authors examine various areas of graph theory, using the prominent role of the Petersen graph as a unifying feature.
Author: C. Berge
Publisher: Elsevier
Published: 1984-05-01
Total Pages: 267
ISBN-13: 0080880231
DOWNLOAD EBOOKGraph Theory has proved to be an extremely useful tool for solving combinatorial problems in such diverse areas as Geometry, Algebra, Number Theory, Topology, Operations Research and Optimization. It is natural to attempt to generalise the concept of a graph, in order to attack additional combinatorial problems. The idea of looking at a family of sets from this standpoint took shape around 1960. In regarding each set as a ``generalised edge'' and in calling the family itself a ``hypergraph'', the initial idea was to try to extend certain classical results of Graph Theory such as the theorems of Turán and König. It was noticed that this generalisation often led to simplification; moreover, one single statement, sometimes remarkably simple, could unify several theorems on graphs. This book presents what seems to be the most significant work on hypergraphs.
Author: Michael Molloy
Publisher: Springer Science & Business Media
Published: 2013-06-29
Total Pages: 320
ISBN-13: 3642040160
DOWNLOAD EBOOKOver the past decade, many major advances have been made in the field of graph coloring via the probabilistic method. This monograph, by two of the best on the topic, provides an accessible and unified treatment of these results, using tools such as the Lovasz Local Lemma and Talagrand's concentration inequality.
Author: Jorgen Bang-Jensen
Publisher: Springer Science & Business Media
Published: 2013-06-29
Total Pages: 769
ISBN-13: 1447138864
DOWNLOAD EBOOKThe study of directed graphs (digraphs) has developed enormously over recent decades, yet the results are rather scattered across the journal literature. This is the first book to present a unified and comprehensive survey of the subject. In addition to covering the theoretical aspects, the authors discuss a large number of applications and their generalizations to topics such as the traveling salesman problem, project scheduling, genetics, network connectivity, and sparse matrices. Numerous exercises are included. For all graduate students, researchers and professionals interested in graph theory and its applications, this book will be essential reading.
