Titlebook: Geometry, Structure and Randomness in Combinatorics; Jiří Matoušek,Jaroslav Nešetřil,Marco Pellegrini Conference proceedings 2014 The Edit

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Electrical Energy Generation in EuropeBy presenting the proofs of a few sample results, we introduce the reader to the use of nonstandard analysis in aspects of combinatorics of numbers.

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Tensors, colours, octahedra,Several theorems in combinatorial convexity admit colourful versions. This survey describes old and new applications of two methods that can give such colourful results. One is the octahedral construction, the other is Sarkaria’s tensor method.

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Cliques and stable sets in undirected graphs,The . of a graph . is the minimum number of stable sets and cliques of . covering the vertex-set of .. In this paper we survey some resent results and techniques developed in an attempt to answer the question: excluding which induced subgraphs causes a graph to have bounded cochromatic number?

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Dedication

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978-88-7642-524-0The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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Geometry, Structure and Randomness in Combinatorics978-88-7642-525-7Series ISSN 2239-1460 Series E-ISSN 2532-1668

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Conference proceedings 2014​This book collects some surveys on current trends in discrete mathematics and discrete geometry. The areas covered include:  graph representations, structural graphs theory, extremal graph theory, Ramsey theory and constrained satisfaction problems.

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https://doi.org/10.1007/978-88-7642-525-7discrete geometry; discrete mathematics; extremal graph theory; graph representations; structural graph