Download or read book An exploration of the Petersen graph written by R. H. Jeurissen and published by . This book was released on 1983 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Petersen s Planarity written by Joanna C. Oakland and published by . This book was released on 2004 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Petersen Graph written by D. A. Holton and published by Cambridge University Press. This book was released on 1993-04-22 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors examine various areas of graph theory, using the prominent role of the Petersen graph as a unifying feature.
Download or read book The Julius Petersen Graph Theory Centennial written by L.D. Andersen and published by Elsevier. This book was released on 2016-06-06 with total page 705 pages. Available in PDF, EPUB and Kindle. Book excerpt: Julius Petersen's paper, Die Theorie der regulären graphs in Acta Mathematica, volume 15 (1891), stands at the beginning of graph theory as we know it today. The Danish group of graph theorists decided in 1985 to mark the 150th birthday of Petersen in 1989, as well as the centennial of his paper. It was felt that the occasion called for a presentation of Petersen's famous paper in its historical context and, in a wider sense, of Petersen's life and work as a whole. However, the readily available information about Julius Petersen amounted to very little (not even a full bibliography existed) and virtually nothing was known about the circumstances that led him to write his famous paper. The study of Petersen's life and work has resulted in several papers, in particular a biography, a bibliography, an annotated edition of the letters surrounding Petersen's paper of 1891, an analysis of Petersen's paper and an annotated edition of parts of Petersen's correspondence with Sylow on Galois theory. The first four of these papers, together with a survey of matching theory, form the first part of this book. In addition to these five special papers, there are papers submitted in the celebration of the Petersen centennial.
Download or read book A First Course in Graph Theory written by Gary Chartrand and published by Courier Corporation. This book was released on 2013-05-20 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by two prominent figures in the field, this comprehensive text provides a remarkably student-friendly approach. Its sound yet accessible treatment emphasizes the history of graph theory and offers unique examples and lucid proofs. 2004 edition.
Download or read book The Petersen Graph Theory written by Derek Allan Holton and published by . This book was released on 1993 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fundamentals of Graph Theory written by Allan Bickle and published by American Mathematical Soc.. This book was released on 2020-03-10 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph theory is a fascinating and inviting branch of mathematics. Many problems are easy to state and have natural visual representations, inviting exploration by new students and professional mathematicians. The goal of this textbook is to present the fundamentals of graph theory to a wide range of readers. The book contains many significant recent results in graph theory, presented using up-to-date notation. The author included the shortest, most elegant, most intuitive proofs for modern and classic results while frequently presenting them in new ways. Major topics are introduced with practical applications that motivate their development, and which are illustrated with examples that show how to apply major theorems in practice. This includes the process of finding a brute force solution (case-checking) when an elegant solution is not apparent. With over 1200 exercises, internet resources (e.g., the OEIS for counting problems), helpful appendices, and a detailed guide to different course outlines, this book provides a versatile and convenient tool for the needs of instructors at a large variety of institutions.
Download or read book Line Graphs and Line Digraphs written by Lowell W. Beineke and published by Springer Nature. This book was released on 2021-10-29 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the present era dominated by computers, graph theory has come into its own as an area of mathematics, prominent for both its theory and its applications. One of the richest and most studied types of graph structures is that of the line graph, where the focus is more on the edges of a graph than on the vertices. A subject worthy of exploration in itself, line graphs are closely connected to other areas of mathematics and computer science. This book is unique in its extensive coverage of many areas of graph theory applicable to line graphs. The book has three parts. Part I covers line graphs and their properties, while Part II looks at features that apply specifically to directed graphs, and Part III presents generalizations and variations of both line graphs and line digraphs. Line Graphs and Line Digraphs is the first comprehensive monograph on the topic. With minimal prerequisites, the book is accessible to most mathematicians and computer scientists who have had an introduction graph theory, and will be a valuable reference for researchers working in graph theory and related fields.
Download or read book The Petersen Graph is Not 3 edge colorable a Counting Argument Proof written by Reza Naserasr and published by . This book was released on 2003 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Configurations from a Graphical Viewpoint written by Tomaz Pisanski and published by Springer Science & Business Media. This book was released on 2013 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Configurations can be studied from a graph-theoretical viewpoint via the so-called Levi graphs and lie at the heart of graphs, groups, surfaces, and geometries, all of which are very active areas of mathematical exploration. In this self-contained textbook, algebraic graph theory is used to introduce groups; topological graph theory is used to explore surfaces; and geometric graph theory is implemented to analyze incidence geometries. After a preview of configurations in Chapter 1, a concise introduction to graph theory is presented in Chapter 2, followed by a geometric introduction to groups in Chapter 3. Maps and surfaces are combinatorially treated in Chapter 4. Chapter 5 introduces the concept of incidence structure through vertex colored graphs, and the combinatorial aspects of classical configurations are studied. Geometric aspects, some historical remarks, references, and applications of classical configurations appear in the last chapter. With over two hundred illustrations, challenging exercises at the end of each chapter, a comprehensive bibliography, and a set of open problems, Configurations from a Graphical Viewpoint is well suited for a graduate graph theory course, an advanced undergraduate seminar, or a self-contained reference for mathematicians and researchers.
Download or read book Orbits of subgraphs of the Petersen graph written by R. H. Jeurissen and published by . This book was released on 1986 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Chamber Graphs of Some Geometries Related to the Petersen Graph written by Tim Crinion and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Petersen Graph is Uniquely Determined by Its Chromatic Polynomial written by Gek-Ling Chia and published by . This book was released on 1988 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Remarkable Generalized Petersen Graph G 8 3 written by Dragan Marušič and published by . This book was released on 1997 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to Random Graphs written by Alan Frieze and published by Cambridge University Press. This book was released on 2016 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text covers random graphs from the basic to the advanced, including numerous exercises and recommendations for further reading.
Download or read book Report written by and published by . This book was released on with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On the Local Crossing Number of Generalized Petersen Graphs written by Armenuhi Barakezyan and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The crossing number of a graph G is the minimum number of edge-crossings in a drawing of a G in the plane. Determining the crossing number of a graph is a famous problem in combinatorial geometry, which remains open for almost any family of graphs. A related parameter is the local crossing number of the graph G. This parameter minimizes the largest number of crossings with a single edge over all drawings of the graph G. Local crossing numbers of graphs, or even bounds for them, are known for very few families of graphs. The generalized Petersen graph P(n,k) is a cubic graph with 2n vertices and 3n edges. It is typically drawn as two concentric polygons of n sides each, the outer polygon is regular and the inner is a star polygon generated by jumps of length k, where the corresponding outer and inner vertices are adjacent. These graphs were introduced in the 1950s by H.S.M. Coxeter, but they were named by Mark Watkins in 1969. In this thesis, we provide a survey of known results about the crossing number of generalized Petersen graphs. We also investigate the local crossing numbers of graphs with small jumps, large jumps, or small number of vertices.
