Beyond Planar Graphs

Author : Seok-Hee Hong
Publisher : Springer Nature
ISBN 13 : 9811565333
Total Pages : 270 pages
Book Rating : 4.35/5 ( download)

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Download or read book Beyond Planar Graphs written by Seok-Hee Hong and published by Springer Nature. This book was released on 2020-09-30 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first general and extensive review on the algorithmics and mathematical results of beyond planar graphs. Most real-world data sets are relational and can be modelled as graphs consisting of vertices and edges. Planar graphs are fundamental for both graph theory and graph algorithms and are extensively studied. Structural properties and fundamental algorithms for planar graphs have been discovered. However, most real-world graphs, such as social networks and biological networks, are non-planar. To analyze and visualize such real-world networks, it is necessary to solve fundamental mathematical and algorithmic research questions on sparse non-planar graphs, called beyond planar graphs.This book is based on the National Institute of Informatics (NII) Shonan Meeting on algorithmics on beyond planar graphs held in Japan in November, 2016. The book consists of 13 chapters that represent recent advances in various areas of beyond planar graph research. The main aims and objectives of this book include 1) to timely provide a state-of-the-art survey and a bibliography on beyond planar graphs; 2) to set the research agenda on beyond planar graphs by identifying fundamental research questions and new research directions; and 3) to foster cross-disciplinary research collaboration between computer science (graph drawing and computational geometry) and mathematics (graph theory and combinatorics). New algorithms for beyond planar graphs will be in high demand by practitioners in various application domains to solve complex visualization problems. This book therefore will be a valuable resource for researchers in graph theory, algorithms, and theoretical computer science, and will stimulate further deep scientific investigations into many areas of beyond planar graphs.

Author : Thomas Schneck
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.62/5 ( download)

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Download or read book New Parameters for Beyond-planar Graphs written by Thomas Schneck and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Stefan Felsner
Publisher : Springer Science & Business Media
ISBN 13 : 3322803031
Total Pages : 179 pages
Book Rating : 4.30/5 ( download)

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Download or read book Geometric Graphs and Arrangements written by Stefan Felsner and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Fabrizio Frati
Publisher : Springer
ISBN 13 : 3319739158
Total Pages : 636 pages
Book Rating : 4.51/5 ( download)

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Download or read book Graph Drawing and Network Visualization written by Fabrizio Frati and published by Springer. This book was released on 2018-01-25 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes revised selected papers from the 25th International Symposium on Graph Drawing and Network Visualization, GD 2017, held in Boston, MA, USA, in September 2017.The 34 full and 9 short papers presented in this volume were carefully reviewed and selected from 87 submissions. Also included in this book are 2 abstracts of keynote presentations, 16 poster abstracts, and 1 contest report. The papers are organized in topical sections named: straight-line representations; obstacles and visibility; topological graph theory; orthogonal representations and book embeddings; evaluations; tree drawings; graph layout designs; point-set embeddings; special representations; and beyond planarity.

Author : Cun-Quan Zhang
Publisher : CRC Press
ISBN 13 : 9780824797904
Total Pages : 402 pages
Book Rating : 4.06/5 ( download)

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Download or read book Integer Flows and Cycle Covers of Graphs written by Cun-Quan Zhang and published by CRC Press. This book was released on 1997-01-02 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focuses on classical problems in graph theory, including the 5-flow conjectures, the edge-3-colouring conjecture, the 3-flow conjecture and the cycle double cover conjecture. The text highlights the interrelationships between graph colouring, integer flow, cycle covers and graph minors. It also concentrates on graph theoretical methods and results.

Author : László Lovász
Publisher : Springer Science & Business Media
ISBN 13 : 0387217770
Total Pages : 344 pages
Book Rating : 4.72/5 ( download)

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Download or read book Discrete Mathematics written by László Lovász and published by Springer Science & Business Media. This book was released on 2006-05-10 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at undergraduate mathematics and computer science students, this book is an excellent introduction to a lot of problems of discrete mathematics. It discusses a number of selected results and methods, mostly from areas of combinatorics and graph theory, and it uses proofs and problem solving to help students understand the solutions to problems. Numerous examples, figures, and exercises are spread throughout the book.

Author : Takao Nishizeki
Publisher : Courier Corporation
ISBN 13 : 048646671X
Total Pages : 242 pages
Book Rating : 4.12/5 ( download)

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Download or read book Planar Graphs written by Takao Nishizeki and published by Courier Corporation. This book was released on 2008-01-01 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text features most of the important theorems and algorithms for planar graphs. Suitable as a textbook, it is also useful for researchers and includes an extensive reference section. 1988 edition.

Author : Bojan Mohar
Publisher : Johns Hopkins University Press
ISBN 13 : 9780801866890
Total Pages : 0 pages
Book Rating : 4.98/5 ( download)

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Download or read book Graphs on Surfaces written by Bojan Mohar and published by Johns Hopkins University Press. This book was released on 2001-08-02 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph theory is one of the fastest growing branches of mathematics. Until recently, it was regarded as a branch of combinatorics and was best known by the famous four-color theorem stating that any map can be colored using only four colors such that no two bordering countries have the same color. Now graph theory is an area of its own with many deep results and beautiful open problems. Graph theory has numerous applications in almost every field of science and has attracted new interest because of its relevance to such technological problems as computer and telephone networking and, of course, the internet. In this new book in the Johns Hopkins Studies in the Mathematical Science series, Bojan Mohar and Carsten Thomassen look at a relatively new area of graph theory: that associated with curved surfaces. Graphs on surfaces form a natural link between discrete and continuous mathematics. The book provides a rigorous and concise introduction to graphs on surfaces and surveys some of the recent developments in this area. Among the basic results discussed are Kuratowski's theorem and other planarity criteria, the Jordan Curve Theorem and some of its extensions, the classification of surfaces, and the Heffter-Edmonds-Ringel rotation principle, which makes it possible to treat graphs on surfaces in a purely combinatorial way. The genus of a graph, contractability of cycles, edge-width, and face-width are treated purely combinatorially, and several results related to these concepts are included. The extension by Robertson and Seymour of Kuratowski's theorem to higher surfaces is discussed in detail, and a shorter proof is presented. The book concludes with a survey of recent developments on coloring graphs on surfaces.

Author : Mark R.T. Dale
Publisher : Cambridge University Press
ISBN 13 : 110708931X
Total Pages : 355 pages
Book Rating : 4.10/5 ( download)

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Download or read book Applying Graph Theory in Ecological Research written by Mark R.T. Dale and published by Cambridge University Press. This book was released on 2017-11-09 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book clearly describes the many applications of graph theory to ecological questions, providing instruction and encouragement to researchers.

Author : Alexander Soifer
Publisher : Springer Science & Business Media
ISBN 13 : 0387746420
Total Pages : 619 pages
Book Rating : 4.25/5 ( download)

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Download or read book The Mathematical Coloring Book written by Alexander Soifer and published by Springer Science & Business Media. This book was released on 2008-10-13 with total page 619 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an exciting history of the discovery of Ramsey Theory, and contains new research along with rare photographs of the mathematicians who developed this theory, including Paul Erdös, B.L. van der Waerden, and Henry Baudet.