Coloring Mixed Hypergraphs PDF Download
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Author | : Vitaly Ivanovich Voloshin |
Publisher | : American Mathematical Soc. |
Total Pages | : 199 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : 0821828126 |
Download Coloring Mixed Hypergraphs: Theory, Algorithms and Applications Book in PDF, ePub and Kindle
The theory of graph coloring has existed for more than 150 years. Historically, graph coloring involved finding the minimum number of colors to be assigned to the vertices so that adjacent vertices would have different colors. From this modest beginning, the theory has become central in discrete mathematics with many contemporary generalizations and applications. Generalization of graph coloring-type problems to mixed hypergraphs brings many new dimensions to the theory ofcolorings. A main feature of this book is that in the case of hypergraphs, there exist problems on both the minimum and the maximum number of colors. This feature pervades the theory, methods, algorithms, and applications of mixed hypergraph coloring. The book has broad appeal. It will be of interest to bothpure and applied mathematicians, particularly those in the areas of discrete mathematics, combinatorial optimization, operations research, computer science, software engineering, molecular biology, and related businesses and industries. It also makes a nice supplementary text for courses in graph theory and discrete mathematics. This is especially useful for students in combinatorics and optimization. Since the area is new, students will have the chance at this stage to obtain results that maybecome classic in the future.
Author | : Daniel Král ̕ |
Publisher | : |
Total Pages | : 29 |
Release | : 2003 |
Genre | : |
ISBN | : |
Download Mixed Hypergraphs and Other Coloring Book in PDF, ePub and Kindle
Author | : Alain Bretto |
Publisher | : Springer Science & Business Media |
Total Pages | : 129 |
Release | : 2013-04-17 |
Genre | : Mathematics |
ISBN | : 3319000802 |
Download Hypergraph Theory Book in PDF, ePub and Kindle
This book provides an introduction to hypergraphs, its aim being to overcome the lack of recent manuscripts on this theory. In the literature hypergraphs have many other names such as set systems and families of sets. This work presents the theory of hypergraphs in its most original aspects, while also introducing and assessing the latest concepts on hypergraphs. The variety of topics, their originality and novelty are intended to help readers better understand the hypergraphs in all their diversity in order to perceive their value and power as mathematical tools. This book will be a great asset to upper-level undergraduate and graduate students in computer science and mathematics. It has been the subject of an annual Master's course for many years, making it also ideally suited to Master's students in computer science, mathematics, bioinformatics, engineering, chemistry, and many other fields. It will also benefit scientists, engineers and anyone else who wants to understand hypergraphs theory.
Author | : Lowell W. Beineke |
Publisher | : Cambridge University Press |
Total Pages | : 416 |
Release | : 2015-05-07 |
Genre | : Mathematics |
ISBN | : 1316239853 |
Download Topics in Chromatic Graph Theory Book in PDF, ePub and Kindle
Chromatic 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 | : C. Berge |
Publisher | : Elsevier |
Total Pages | : 267 |
Release | : 1984-05-01 |
Genre | : Mathematics |
ISBN | : 0080880231 |
Download Hypergraphs Book in PDF, ePub and Kindle
Graph 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 | : Sunil Mathew |
Publisher | : Springer |
Total Pages | : 331 |
Release | : 2017-12-30 |
Genre | : Technology & Engineering |
ISBN | : 3319714074 |
Download Fuzzy Graph Theory Book in PDF, ePub and Kindle
This book provides a timely overview of fuzzy graph theory, laying the foundation for future applications in a broad range of areas. It introduces readers to fundamental theories, such as Craine’s work on fuzzy interval graphs, fuzzy analogs of Marczewski’s theorem, and the Gilmore and Hoffman characterization. It also introduces them to the Fulkerson and Gross characterization and Menger’s theorem, the applications of which will be discussed in a forthcoming book by the same authors. This book also discusses in detail important concepts such as connectivity, distance and saturation in fuzzy graphs. Thanks to the good balance between the basics of fuzzy graph theory and new findings obtained by the authors, the book offers an excellent reference guide for advanced undergraduate and graduate students in mathematics, engineering and computer science, and an inspiring read for all researchers interested in new developments in fuzzy logic and applied mathematics.
Author | : Jonathan L. Gross |
Publisher | : CRC Press |
Total Pages | : 1606 |
Release | : 2013-12-17 |
Genre | : Computers |
ISBN | : 1439880190 |
Download Handbook of Graph Theory Book in PDF, ePub and Kindle
In the ten years since the publication of the best-selling first edition, more than 1,000 graph theory papers have been published each year. Reflecting these advances, Handbook of Graph Theory, Second Edition provides comprehensive coverage of the main topics in pure and applied graph theory. This second edition-over 400 pages longer than its prede
Author | : Ervin Gyori |
Publisher | : Springer Science & Business Media |
Total Pages | : 274 |
Release | : 2008-10-20 |
Genre | : Mathematics |
ISBN | : 3540772006 |
Download Horizons of Combinatorics Book in PDF, ePub and Kindle
Hungarian mathematics has always been known for discrete mathematics, including combinatorial number theory, set theory and recently random structures, and combinatorial geometry. The recent volume contains high level surveys on these topics with authors mostly being invited speakers for the conference "Horizons of Combinatorics" held in Balatonalmadi, Hungary in 2006. The collection gives an overview of recent trends and results in a large part of combinatorics and related topics.
Author | : Qionghai Dai |
Publisher | : Springer Nature |
Total Pages | : 251 |
Release | : 2023-06-16 |
Genre | : Computers |
ISBN | : 9819901855 |
Download Hypergraph Computation Book in PDF, ePub and Kindle
This open access book discusses the theory and methods of hypergraph computation. Many underlying relationships among data can be represented using graphs, for example in the areas including computer vision, molecular chemistry, molecular biology, etc. In the last decade, methods like graph-based learning and neural network methods have been developed to process such data, they are particularly suitable for handling relational learning tasks. In many real-world problems, however, relationships among the objects of our interest are more complex than pair-wise. Naively squeezing the complex relationships into pairwise ones will inevitably lead to loss of information which can be expected valuable for learning tasks. Hypergraph, as a generation of graph, has shown superior performance on modelling complex correlations compared with graph. Recent years have witnessed a great popularity of researches on hypergraph-related AI methods, which have been used in computer vision, social media analysis, etc. We summarize these attempts as a new computing paradigm, called hypergraph computation, which is to formulate the high-order correlations underneath the data using hypergraph, and then conduct semantic computing on the hypergraph for different applications. The content of this book consists of hypergraph computation paradigms, hypergraph modelling, hypergraph structure evolution, hypergraph neural networks, and applications of hypergraph computation in different fields. We further summarize recent achievements and future directions on hypergraph computation in this book.
Author | : Zhang Wenpeng |
Publisher | : Infinite Study |
Total Pages | : 131 |
Release | : |
Genre | : |
ISBN | : 1599731126 |
Download Scientia Magna, Vol. 5, No. 4, 2009 Book in PDF, ePub and Kindle
Papers on Pseudo-Smarandache function and Smarandache LCM function, the minimum number of polychromatic C-hyperedges of the complete uniform mixed hypergraphs under one special condition, complete monotonicity properties for the gamma function and Barnes G-function, semigroup of continuous functions and Smarandache semigroups, and other similar topics. Contributors: T. Srinivas, A. K. S. C. S. Rao, X. Liang, W. He, J. Soontharanon, U. Leerawat, J. Wang, C. Zheng, F. A. Z. Shirazi, A. Hosseini, and many others.