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Synopsis
Revision with unchanged content. The theory of random graphs was founded by Paul Erdȍs and Alfréd Rényi around 1959. Since then this interesting and fruitful branch of combinatorics attracted many experts from mathematics and theoretical computer science. This book discusses several questions from the realm of classical graph theory in the context of random graphs. In particular, we address so-called Ramsey and Turán type properties of graphs, which are central to the relatively young field of extremal graph theory. Amongst other results, this book establishes an embedding lemma for sparse graphs, which often constitutes the companion to the sparse version of Szemerédi’s regularity lemma. A stronger form of this embedding lemma was conjectured by Kohayakawa, Łuczak, and Rödl in 1994. This book also continues with the work of Kohayakawa and Kreuter from 1997. We prove strong lower bounds on the edge probability of random graphs that typically allow for an edge coloring without certain monochromatic substructures. Supposing the embedding conjecture of Kohayakawa, Łuczak, and Rödl holds, these bounds are tight and give rise to threshold functions.
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About the Author
Dr. Martin Marciniszyn, Dipl.-Inf.
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Extremal problems in random graphs: Ramsey and Tur?n type results
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Extremal problems in random graphs
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Revision with unchanged content. The theory of random graphs was founded by Paul Erd s and Alfréd Rényi around 1959. Since then this interesting and fruitful branch of combinatorics attracted many experts from mathematics and theoretical computer science. This book discusses several questions from the realm of classical graph theory in the context of random graphs. In particular, we address so-called Ramsey and Turán type properties of graphs, which are central to the relatively young field of extremal graph theory. Amongst other results, this book establishes an embedding lemma for sparse graphs, which often constitutes the companion to the sparse version of Szemerédi s regularity lemma. A stronger form of this embedding lemma was conjectured by Kohayakawa, uczak, and Rödl in 1994. This book also continues with the work of Kohayakawa and Kreuter from 1997. We prove strong lower bounds on the edge probability of random graphs that typically allow for an edge coloring without certain monochromatic substructures. Supposing the embedding conjecture of Kohayakawa, uczak, and Rödl holds, these bounds are tight and give rise to threshold functions. 140 pp. Englisch. Seller Inventory # 9783639414837
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Extremal problems in random graphs
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Extremal problems in random graphs
Published by
AV Akademikerverlag Mai 2012, 2012
ISBN 10: 3639414837
ISBN 13: 9783639414837
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Taschenbuch
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Taschenbuch. Condition: Neu. Neuware -Revision with unchanged content. The theory of random graphs was founded by Paul Erdżs and Alfréd Rényi around 1959. Since then this interesting and fruitful branch of combinatorics attracted many experts from mathematics and theoretical computer science. This book discusses several questions from the realm of classical graph theory in the context of random graphs. In particular, we address so-called Ramsey and Turán type properties of graphs, which are central to the relatively young field of extremal graph theory. Amongst other results, this book establishes an embedding lemma for sparse graphs, which often constitutes the companion to the sparse version of Szemerédiżs regularity lemma. A stronger form of this embedding lemma was conjectured by Kohayakawa, żuczak, and Rödl in 1994. This book also continues with the work of Kohayakawa and Kreuter from 1997. We prove strong lower bounds on the edge probability of random graphs that typically allow for an edge coloring without certain monochromatic substructures. Supposing the embedding conjecture of Kohayakawa, żuczak, and Rödl holds, these bounds are tight and give rise to threshold functions.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 140 pp. Englisch. Seller Inventory # 9783639414837
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Extremal problems in random graphs : Ramsey and Turán type results
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Revision with unchanged content. The theory of random graphs was founded by Paul Erd s and Alfréd Rényi around 1959. Since then this interesting and fruitful branch of combinatorics attracted many experts from mathematics and theoretical computer science. This book discusses several questions from the realm of classical graph theory in the context of random graphs. In particular, we address so-called Ramsey and Turán type properties of graphs, which are central to the relatively young field of extremal graph theory. Amongst other results, this book establishes an embedding lemma for sparse graphs, which often constitutes the companion to the sparse version of Szemerédi s regularity lemma. A stronger form of this embedding lemma was conjectured by Kohayakawa, uczak, and Rödl in 1994. This book also continues with the work of Kohayakawa and Kreuter from 1997. We prove strong lower bounds on the edge probability of random graphs that typically allow for an edge coloring without certain monochromatic substructures. Supposing the embedding conjecture of Kohayakawa, uczak, and Rödl holds, these bounds are tight and give rise to threshold functions. Seller Inventory # 9783639414837
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