Titlebook: Horizons of Combinatorics; Ervin Gy?ri,Gyula O. H. Katona,Gábor Sági Book 2008 Springer-Verlag Berlin Heidelberg 2008 Algorithms.Discrete

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1217-4696 structures, combinatorial geometry as well. ..The recent volume contains high level surveys on these topics with authors mostly being invited speakers for the conference "Horizons of Combinatorics" held in Balatonalmadi, Hungary in 2006. The collection gives a very good overview of recent trends an

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1217-4696 d results in a large part of combinatorics and related topics, and offers an interesting reading for experienced specialists as well as to young researchers and students..978-3-642-09589-4978-3-540-77200-2Series ISSN 1217-4696 Series E-ISSN 2947-9460

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Combinatorial Conditions for the Rigidity of Tensegrity Frameworks, checked in polynomial time for the 1- and 2-dimensional frameworks, while the complexity questions are mainly open for higher dimensions. For surveys of such results the reader is referred to [., ., .].

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,Erd?s-Hajnal-type Results on Intersection Patterns of Geometric Objects,the property that every graph of . vertices that contains no induced subgraph isomorphic to . has a complete or an empty induced subgraph of size ..? We answer this question in the affirmative for some special classes of graphs denned by geometric methods.