Cycles Of Binary Matroids With No F7 Minor
Download Cycles Of Binary Matroids With No F7 Minor full books in PDF, epub, and Kindle. Read online free Cycles Of Binary Matroids With No F7 Minor ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
| Author | : James G. Oxley |
| Publisher | : Oxford University Press, USA |
| Total Pages | : 550 |
| Release | : 2006 |
| Genre | : Mathematics |
| ISBN | : 9780199202508 |
The study of matroids is a branch of discrete mathematics with basic links to graphs, lattices, codes, transversals, and projective geometries. Matroids are of fundamental importance in combinatorial optimization and their applications extend into electrical engineering and statics. This incisive survey of matroid theory falls into two parts: the first part provides a comprehensive introduction to the basics of matroid theory while the second treats more advanced topics. The book contains over five hundred exercises and includes, for the first time in one place, short proofs for most of the subjects' major theorems. The final chapter lists sixty unsolved problems and details progress towards their solutions.
| Author | : Dillon Mayhew |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 110 |
| Release | : 2010 |
| Genre | : Mathematics |
| ISBN | : 0821848267 |
The authors give a characterization of the internally $4$-connected binary matroids that have no minor isomorphic to $M(K_{3,3})$. Any such matroid is either cographic, or is isomorphic to a particular single-element extension of the bond matroid of a cubic or quartic Mobius ladder, or is isomorphic to one of eighteen sporadic matroids.
| Author | : Joseph Edmond Bonin |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 434 |
| Release | : 1996 |
| Genre | : Mathematics |
| ISBN | : 0821805088 |
This volume contains the proceedings of the 1995 AMS-IMS-SIAM Joint Summer Research Conference on Matroid Theory held at the University of Washington, Seattle. The book features three comprehensive surveys that bring the reader to the forefront of research in matroid theory. Joseph Kung's encyclopedic treatment of the critical problem traces the development of this problem from its origins through its numerous links with other branches of mathematics to the current status of its many aspects. James Oxley's survey of the role of connectivity and structure theorems in matroid theory stresses the influence of the Wheels and Whirls Theorem of Tutte and the Splitter Theorem of Seymour. Walter Whiteley's article unifies applications of matroid theory to constrained geometrical systems, including the rigidity of bar-and-joint frameworks, parallel drawings, and splines. These widely accessible articles contain many new results and directions for further research and applications. The surveys are complemented by selected short research papers. The volume concludes with a chapter of open problems. Features: Self-contained, accessible surveys of three active research areas in matroid theory. Many new results. Pointers to new research topics. A chapter of open problems. Mathematical applications. Applications and connections to other disciplines, such as computer-aided design and electrical and structural engineering.
| Author | : Jonathan L. Gross |
| Publisher | : CRC Press |
| Total Pages | : 1200 |
| Release | : 2003-12-29 |
| Genre | : Computers |
| ISBN | : 9780203490204 |
The Handbook of Graph Theory is the most comprehensive single-source guide to graph theory ever published. Best-selling authors Jonathan Gross and Jay Yellen assembled an outstanding team of experts to contribute overviews of more than 50 of the most significant topics in graph theory-including those related to algorithmic and optimization approach
| Author | : Martin Groetschel |
| Publisher | : SIAM |
| Total Pages | : 391 |
| Release | : 2004-01-01 |
| Genre | : Science |
| ISBN | : 9780898718805 |
This title is written in honor of Manfred Padberg, who has made fundamental contributions to both the theoretical and computational sides of integer programming and combinatorial optimization. This outstanding collection presents recent results in these areas that are closely connected to Padberg's research. His deep commitment to the geometrical approach to combinatorial optimization can be felt throughout this volume; his search for increasingly better and computationally efficient cutting planes gave rise to its title. The peer-reviewed papers contained here are based on invited lectures given at a workshop held in October 2001 to celebrate Padberg's 60th birthday. Grouped by topic (packing, stable sets, and perfect graphs; polyhedral combinatorics; general polytopes; semidefinite programming; computation), many of the papers set out to solve challenges set forth in Padberg's work. The book also shows how Padberg's ideas on cutting planes have influenced modern commercial optimization software.
| Author | : R.L. Graham |
| Publisher | : Elsevier |
| Total Pages | : 2404 |
| Release | : 1995-12-11 |
| Genre | : Computers |
| ISBN | : 008093384X |
Handbook of Combinatorics
| Author | : Ronald L. Graham |
| Publisher | : Elsevier |
| Total Pages | : 1124 |
| Release | : 1995-12-11 |
| Genre | : Business & Economics |
| ISBN | : 9780444823465 |
Handbook of Combinatorics, Volume 1 focuses on basic methods, paradigms, results, issues, and trends across the broad spectrum of combinatorics. The selection first elaborates on the basic graph theory, connectivity and network flows, and matchings and extensions. Discussions focus on stable sets and claw free graphs, nonbipartite matching, multicommodity flows and disjoint paths, minimum cost circulations and flows, special proof techniques for paths and circuits, and Hamilton paths and circuits in digraphs. The manuscript then examines coloring, stable sets, and perfect graphs and embeddings and minors. The book takes a look at random graphs, hypergraphs, partially ordered sets, and matroids. Topics include geometric lattices, structural properties, linear extensions and correlation, dimension and posets of bounded degree, hypergraphs and set systems, stability, transversals, and matchings, and phase transition. The manuscript also reviews the combinatorial number theory, point lattices, convex polytopes and related complexes, and extremal problems in combinatorial geometry. The selection is a valuable reference for researchers interested in combinatorics.
| Author | : Ronald L. Graham |
| Publisher | : MIT Press |
| Total Pages | : 1130 |
| Release | : 2003-03 |
| Genre | : Computers |
| ISBN | : 9780262571722 |
Covers combinatorics in graph theory, theoretical computer science, optimization, and convexity theory, plus applications in operations research, electrical engineering, statistical mechanics, chemistry, molecular biology, pure mathematics, and computer science.
| Author | : Bozzano G Luisa |
| Publisher | : Elsevier |
| Total Pages | : 1121 |
| Release | : 1995-12-11 |
| Genre | : Computers |
| ISBN | : 0080933351 |
Handbook of Combinatorics, Volume 1 focuses on basic methods, paradigms, results, issues, and trends across the broad spectrum of combinatorics. The selection first elaborates on the basic graph theory, connectivity and network flows, and matchings and extensions. Discussions focus on stable sets and claw free graphs, nonbipartite matching, multicommodity flows and disjoint paths, minimum cost circulations and flows, special proof techniques for paths and circuits, and Hamilton paths and circuits in digraphs. The manuscript then examines coloring, stable sets, and perfect graphs and embeddings and minors. The book takes a look at random graphs, hypergraphs, partially ordered sets, and matroids. Topics include geometric lattices, structural properties, linear extensions and correlation, dimension and posets of bounded degree, hypergraphs and set systems, stability, transversals, and matchings, and phase transition. The manuscript also reviews the combinatorial number theory, point lattices, convex polytopes and related complexes, and extremal problems in combinatorial geometry. The selection is a valuable reference for researchers interested in combinatorics.
| Author | : Michel Marie Deza |
| Publisher | : Springer |
| Total Pages | : 580 |
| Release | : 2009-11-12 |
| Genre | : Mathematics |
| ISBN | : 3642042953 |
Cuts and metrics are well-known objects that arise - independently, but with many deep and fascinating connections - in diverse fields: in graph theory, combinatorial optimization, geometry of numbers, combinatorial matrix theory, statistical physics, VLSI design etc. This book presents a wealth of results, from different mathematical disciplines, in a unified comprehensive manner, and establishes new and old links, which cannot be found elsewhere. It provides a unique and invaluable source for researchers and graduate students. From the Reviews: "This book is definitely a milestone in the literature of integer programming and combinatorial optimization. It draws from the Interdisciplinarity of these fields [...]. With knowledge about the relevant terms, one can enjoy special subsections without being entirely familiar with the rest of the chapter. This makes it not only an interesting research book but even a dictionary. [...] The longer one works with it, the more beautiful it becomes." Optima 56, 1997.
