Graph Theory
ago 2011 · Institute of Mathematics
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This text offers the most comprehensive and up-to-date presentation available on the fundamental topics in graph theory. It develops a thorough understanding of the structure of graphs, the techniques used to analyze problems in graph theory and the uses of graph theoretical algorithms in mathematics, engineering and computer science. There are many new topics in this book that have not appeared before in print: new proofs of various classical theorems, signed degree sequences, criteria for graphical sequences, eccentric sequences, matching and decomposition of planar graphs into trees. Scores in digraphs appear for the first time and include new results due to Pirzada. The climax of the book is a new proof of the famous four colour theorem due to Dharwadker.
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Ashay Dharwadker is the Distinguished Professor of Mathematics & Natural Sciences at the Institute of Mathematics, Gurgaon, India. He is the author of a dozen exquisitely illustrated books describing his fundamental contributions to combinatorics, graph theory, computer science and the foundations of physics.
Shariefuddin Pirzada is an Honorary Professor at the Institute of Mathematics, Gurgaon and a Professor at Department of Mathematics, University of Kashmir, Srinagar.
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