Discrete Geometry, Combinatorics and Graph Theory
Title | Discrete Geometry, Combinatorics and Graph Theory PDF eBook |
Author | Jin Akiyama |
Publisher | Springer |
Total Pages | 289 |
Release | 2007-06-26 |
Genre | Computers |
ISBN | 3540706666 |
This book constitutes the thoroughly refereed post-proceedings of the 7th China-Japan Conference on Discrete Geometry, Combinatorics and Graph Theory, CJCDGCGT 2005, held in Tianjin, China, as well as in Xi'an, China, in November 2005. The 30 revised full papers address all current issues in discrete algorithmic geometry, combinatorics and graph theory.
Thirty Essays on Geometric Graph Theory
Title | Thirty Essays on Geometric Graph Theory PDF eBook |
Author | János Pach |
Publisher | Springer Science & Business Media |
Total Pages | 610 |
Release | 2012-12-15 |
Genre | Mathematics |
ISBN | 1461401100 |
In many applications of graph theory, graphs are regarded as geometric objects drawn in the plane or in some other surface. The traditional methods of "abstract" graph theory are often incapable of providing satisfactory answers to questions arising in such applications. In the past couple of decades, many powerful new combinatorial and topological techniques have been developed to tackle these problems. Today geometric graph theory is a burgeoning field with many striking results and appealing open questions. This contributed volume contains thirty original survey and research papers on important recent developments in geometric graph theory. The contributions were thoroughly reviewed and written by excellent researchers in this field.
Convexity and Discrete Geometry Including Graph Theory
Title | Convexity and Discrete Geometry Including Graph Theory PDF eBook |
Author | Karim Adiprasito |
Publisher | Springer |
Total Pages | 277 |
Release | 2016-05-02 |
Genre | Mathematics |
ISBN | 3319281860 |
This volume presents easy-to-understand yet surprising properties obtained using topological, geometric and graph theoretic tools in the areas covered by the Geometry Conference that took place in Mulhouse, France from September 7–11, 2014 in honour of Tudor Zamfirescu on the occasion of his 70th anniversary. The contributions address subjects in convexity and discrete geometry, in distance geometry or with geometrical flavor in combinatorics, graph theory or non-linear analysis. Written by top experts, these papers highlight the close connections between these fields, as well as ties to other domains of geometry and their reciprocal influence. They offer an overview on recent developments in geometry and its border with discrete mathematics, and provide answers to several open questions. The volume addresses a large audience in mathematics, including researchers and graduate students interested in geometry and geometrical problems.
Geometry, Structure and Randomness in Combinatorics
Title | Geometry, Structure and Randomness in Combinatorics PDF eBook |
Author | Jiří Matousek |
Publisher | Springer |
Total Pages | 156 |
Release | 2015-04-09 |
Genre | Mathematics |
ISBN | 887642525X |
This book collects some surveys on current trends in discrete mathematics and discrete geometry. The areas covered include: graph representations, structural graphs theory, extremal graph theory, Ramsey theory and constrained satisfaction problems.
Combinatorics and Graph Theory
Title | Combinatorics and Graph Theory PDF eBook |
Author | John Harris |
Publisher | Springer Science & Business Media |
Total Pages | 392 |
Release | 2009-04-03 |
Genre | Mathematics |
ISBN | 0387797114 |
These notes were first used in an introductory course team taught by the authors at Appalachian State University to advanced undergraduates and beginning graduates. The text was written with four pedagogical goals in mind: offer a variety of topics in one course, get to the main themes and tools as efficiently as possible, show the relationships between the different topics, and include recent results to convince students that mathematics is a living discipline.
Geometric Graphs and Arrangements
Title | Geometric Graphs and Arrangements PDF eBook |
Author | Stefan Felsner |
Publisher | Springer Science & Business Media |
Total Pages | 179 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 3322803031 |
Among the intuitively appealing aspects of graph theory is its close connection to drawings and geometry. The development of computer technology has become a source of motivation to reconsider these connections, in particular geometric graphs are emerging as a new subfield of graph theory. Arrangements of points and lines are the objects for many challenging problems and surprising solutions in combinatorial geometry. The book is a collection of beautiful and partly very recent results from the intersection of geometry, graph theory and combinatorics.
Geometry of Cuts and Metrics
Title | Geometry of Cuts and Metrics PDF eBook |
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.