Extremal problems in random graphs: Ramsey and Tur�n type results - Couverture souple

Marciniszyn, Martin

9783639414837: Extremal problems in random graphs: Ramsey and Tur�n type results

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ISBN 10 : 3639414837 ISBN 13 : 9783639414837

Editeur : AV Akademikerverlag, 2012

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Revision with unchanged content. The theory of random graphs was founded by Paul Erdȍs and Alfr�d R�nyi 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 Tur�n 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 Szemer�di’s regularity lemma. A stronger form of this embedding lemma was conjectured by Kohayakawa, Łuczak, and R�dl 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 R�dl holds, these bounds are tight and give rise to threshold functions.

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�diteur: AV Akademikerverlag
Date d'�dition: 2012
Langue: anglais
ISBN 10: 3639414837
ISBN 13: 9783639414837
Reliure: Broch�
Nombre de pages: 140
Coordonn�es du fabricant: non disponible
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Extremal problems in random graphs

Martin Marciniszyn

Edit� par AV Akademikerverlag, 2012

ISBN 10 : 3639414837 ISBN 13 : 9783639414837

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Extremal problems in random graphs : Ramsey and Tur�n type results

Martin Marciniszyn

Edit� par AV Akademikerverlag, 2012

ISBN 10 : 3639414837 ISBN 13 : 9783639414837

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Taschenbuch. Etat : 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 Alfr�d R�nyi 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 Tur�n 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 Szemer�di s regularity lemma. A stronger form of this embedding lemma was conjectured by Kohayakawa, uczak, and R�dl 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 R�dl holds, these bounds are tight and give rise to threshold functions. N� de r�f. du vendeur 9783639414837

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Extremal problems in random graphs

Martin Marciniszyn

Edit� par AV Akademikerverlag Mai 2012, 2012

ISBN 10 : 3639414837 ISBN 13 : 9783639414837

Neuf Taschenbuch

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Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne

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Taschenbuch. Etat : 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 Alfr�d R�nyi 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 Tur�n 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 Szemer�di s regularity lemma. A stronger form of this embedding lemma was conjectured by Kohayakawa, uczak, and R�dl 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 R�dl holds, these bounds are tight and give rise to threshold functions. 140 pp. Englisch. N� de r�f. du vendeur 9783639414837

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Extremal problems in random graphs

Martin Marciniszyn

Edit� par AV Akademikerverlag Mai 2012, 2012

ISBN 10 : 3639414837 ISBN 13 : 9783639414837

Neuf Taschenbuch

Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne

�valuation du vendeur 5 sur 5 �toiles

Taschenbuch. Etat : Neu. Neuware -Revision with unchanged content. The theory of random graphs was founded by Paul Erd�s and Alfr�d R�nyi 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 Tur�n 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 Szemer�di�s regularity lemma. A stronger form of this embedding lemma was conjectured by Kohayakawa, �uczak, and R�dl 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 R�dl holds, these bounds are tight and give rise to threshold functions.VDM Verlag, Dudweiler Landstra�e 99, 66123 Saarbr�cken 140 pp. Englisch. N� de r�f. du vendeur 9783639414837

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