Graph Theory U.S.R. Murty

ISBN: 9781846289699

Published: September 27th 2011

Hardcover

651 pages


Description

Graph Theory  by  U.S.R. Murty

Graph Theory by U.S.R. Murty
September 27th 2011 | Hardcover | PDF, EPUB, FB2, DjVu, talking book, mp3, ZIP | 651 pages | ISBN: 9781846289699 | 10.65 Mb

For more than one hundred years, the development of graph theory was inspired andguidedmainlybytheFour-ColourConjecture.Theresolutionoftheconjecture by K. Appel and W. Haken in 1976, the year in which our ?rst bookGraph Theory with ApplicationsMoreFor more than one hundred years, the development of graph theory was inspired andguidedmainlybytheFour-ColourConjecture.Theresolutionoftheconjecture by K. Appel and W. Haken in 1976, the year in which our ?rst bookGraph Theory with Applications appeared, marked a turning point in its history.

Since then, the subject has experienced explosive growth, due in large measure to its role as an essential structure underpinning modern applied mathematics. Computer science and combinatorial optimization, in particular, draw upon and contribute to the development of the theory of graphs. Moreover, in a world where communication is of prime importance, the versatility of graphs makes them indispensable tools in the design and analysis of communication networks. Building on the foundations laid by Claude Berge, Paul Erd? os, Bill Tutte, and others, a new generation of graph-theorists has enriched and transformed the s- ject by developing powerful new techniques, many borrowed from other areas of mathematics.

These have led, in particular, to the resolution of several longsta- ing conjectures, including Berge s Strong Perfect Graph Conjecture and Kneser s Conjecture, both on colourings, and Gallai s Conjecture on cycle coverings.



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