Graph Theory 1736 1936
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Graph Theory 1736 1936
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Author : Norman Biggs
language : en
Publisher: Oxford University Press
Release Date : 1986
Graph Theory 1736 1936 written by Norman Biggs and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.
First published in 1976, this book has been widely acclaimed both for its significant contribution to the history of mathematics and for the way that it brings the subject alive. Building on a set of original writings from some of the founders of graph theory, the book traces the historical development of the subject through a linking commentary. The relevant underlying mathematics is also explained, providing an original introduction to the subject for students. From reviews: 'The book...serves as an excellent examplein fact, as a modelof a new approach to one aspect of mathematics, when mathematics is considered as a living, vital and developing tradition.' (Edward A. Maziark in Isis) 'Biggs, Lloyd and Wilson's unusual and remarkable book traces the evolution and development of graph theory...Conceived in a very original manner and obviously written with devotion and a very great amount of painstaking historical research, it contains an exceptionally fine collection of source material, and to a graph theorist it is a treasure chest of fascinating historical information and curiosities with rich food for thought.' (Gabriel Dirac in Centaurus) 'The lucidity, grace and wit of the writing makes this book a pleasure to read and re-read.' (S. H. Hollingdale in Bulletin of the Institute of Mathematics and its Applications)
Graph Theory
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Author : Norman Biggs
language : en
Publisher:
Release Date : 1977
Graph Theory written by Norman Biggs and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.
Graph Theory
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Author : Norman L. Biggs
language : en
Publisher:
Release Date : 1976
Graph Theory written by Norman L. Biggs and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with categories.
Theory Of Finite And Infinite Graphs
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Author : Denes König
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Theory Of Finite And Infinite Graphs written by Denes König and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.
To most graph theorists there are two outstanding landmarks in the history of their subject. One is Euler's solution of the Konigsberg Bridges Problem, dated 1736, and the other is the appearance of Denes Konig's textbook in 1936. "From Konigsberg to Konig's book" sings the poetess, "So runs the graphic tale . . . " 10]. There were earlier books that took note of graph theory. Veb len's Analysis Situs, published in 1931, is about general combinato rial topology. But its first two chapters, on "Linear graphs" and "Two-Dimensional Complexes," are almost exclusively concerned with the territory still explored by graph theorists. Rouse Ball's Mathematical Recreations and Essays told, usually without proofs, of the major graph-theoretical advances ofthe nineteenth century, of the Five Colour Theorem, of Petersen's Theorem on I-factors, and of Cayley's enumerations of trees. It was Rouse Ball's book that kindled my own graph-theoretical enthusiasm. The graph-theoretical papers of Hassler Whitney, published in 1931-1933, would have made an excellent textbook in English had they been collected and published as such. But the honour of presenting Graph Theory to the mathe matical world as a subject in its own right, with its own textbook, belongs to Denes Konig. Low was the prestige of Graph Theory in the Dirty Thirties. It is still remembered, with resentment now shading into amuse ment, how one mathematician scorned it as "The slums of Topol ogy.""
The Collected Mathematical Papers Of Arthur Cayley
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Author : Arthur Cayley
language : en
Publisher:
Release Date : 1896
The Collected Mathematical Papers Of Arthur Cayley written by Arthur Cayley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1896 with Mathematics categories.
Graph Theory Papers 1736 1936
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Author : M. Askew
language : en
Publisher:
Release Date : 1977
Graph Theory Papers 1736 1936 written by M. Askew and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.
Graph Theory
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Author : Geir Agnarsson
language : en
Publisher: Pearson
Release Date : 2007
Graph Theory written by Geir Agnarsson and has been published by Pearson this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
For junior- to senior-level courses in Graph Theory taken by majors in Mathematics, Computer Science, or Engineering or for beginning-level graduate courses. Once considered an "unimportant" branch of topology, graph theory has come into its own through many important contributions to a wide range of fields -- and is now one of the fastest-growing areas in discrete mathematics and computer science. This new text introduces basic concepts, definitions, theorems, and examples from graph theory. The authors present a collection of interesting results from mathematics that involve key concepts and proof techniques; cover design and analysis of computer algorithms for solving problems in graph theory; and discuss applications of graph theory to the sciences. It is mathematically rigorous, but also practical, intuitive, and algorithmic.
The Petersen Graph
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Author : D. A. Holton
language : en
Publisher: Cambridge University Press
Release Date : 1993-04-22
The Petersen Graph written by D. A. Holton and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-04-22 with Mathematics categories.
The authors examine various areas of graph theory, using the prominent role of the Petersen graph as a unifying feature.
The Four Color Theorem
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Author : Rudolf Fritsch
language : en
Publisher: Springer Science & Business Media
Release Date : 1998
The Four Color Theorem written by Rudolf Fritsch and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
This elegant little book discusses a famous problem that helped to define the field now known as graph theory: what is the minimum number of colors required to print a map such that no two adjoining countries have the same color, no matter how convoluted their boundaries are. Many famous mathematicians have worked on the problem, but the proof eluded formulation until the 1970s, when it was finally cracked with a brute-force approach using a computer. The Four-Color Theorem begins by discussing the history of the problem up to the new approach given in the 1990s (by Neil Robertson, Daniel Sanders, Paul Seymour, and Robin Thomas). The book then goes into the mathematics, with a detailed discussion of how to convert the originally topological problem into a combinatorial one that is both elementary enough that anyone with a basic knowledge of geometry can follow it and also rigorous enough that a mathematician can read it with satisfaction. The authors discuss the mathematics and point to the philosophical debate that ensued when the proof was announced: just what is a mathematical proof, if it takes a computer to provide one - and is such a thing a proof at all?
A First Course In Graph Theory
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Author : Gary Chartrand
language : en
Publisher: Courier Corporation
Release Date : 2012-01-01
A First Course In Graph Theory written by Gary Chartrand and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-01 with Mathematics categories.
Written by two of the most prominent figures in the field of graph theory, this comprehensive text provides a remarkably student-friendly approach. Geared toward undergraduates taking a first course in graph theory, its sound yet accessible treatment emphasizes the history of graph theory and offers unique examples and lucid proofs. 2004 edition.