Graphs, Networks and Algorithms

Graphs, Networks and Algorithms

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From the reviews of the 2nd edition The substantial development effort of this text clearly shows through in this new edition with its clear writing, good organisation, comprehensive coverage of essential theory, and well-chosen applications. The proofs of important results and the representation of key algorithms in a Pascal-like notation allow this book to be used in a high-level undergraduate or low-level graduate course on graph theory, combinatorial optimization or computer science algorithms. The well-worked solutions to exercises are a real bonus for self study by students. The book is highly recommended. Zentralblatt fA¼r Mathematik 2005 The third edition of this standard textbook contains additional material: two new application sections (on graphical codes and their decoding) and about two dozen further exercises (with solutions, as throughout the text). Moreover, recent developments have been discussed and referenced, in particular for the travelling salesman problem. The presentation has been improved in many places (for instance, in the chapters on shortest paths and on colorings), and a number of proofs have been reorganized, making them more precise or more transparent.If we consider the edge ts as the return arc, the zero flow is a flow of minimal cost on the flow network (G \ts, c, s, t). We shall now solve the optimal flow problem of Example 10.1.3 by constructing flows of minimal cost with increasing values, beginning with the zero flow. ... The algorithm of Busacker and Gowen is basically the same as the algo- rithm of Ford and Fulkerson of Section 6.1, only that eachanbsp;...

Title:Graphs, Networks and Algorithms
Author:Dieter Jungnickel
Publisher:Springer Science & Business Media - 2007-09-26


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