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

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Lajos SoukupTABLEAUX 2009) held July 6-10, 2009 in Oslo, Norway. This conference was the 18th in a series of international meetings since 1992 (listed on page IX). It was collocated with FTP 2009, the Workshop on First-Order Theorem Proving. The Program Committee of TABLEAUX 2009 received 44 submissions from 24

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https://doi.org/10.1007/978-3-540-77200-2Algorithms; Discrete Mathematics; Hypergraph; Hypergraphs; Infinite Combinatorics; Ramsey theory; Random S

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Horizons of Combinatorics978-3-540-77200-2Series ISSN 1217-4696 Series E-ISSN 2947-9460

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Ballot Theorems, Old and New,We begin by sketching the development of the classical ballot theorem as it first appeared in the Comptes Rendus de 1’Academie des Sciences. The statement that is fairly called the first Ballot Theorem was due to Bertrand: . ([8]). . (2. − .)/. = (. − .)/(. + .).

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Proof Techniques for Factor Theorems,In this paper, we consider only finite, undirected, simple graphs with no loops and no multiple edges. The purpose of this paper is to illustrate three different types of proof techniques for theorems concerning the existence of a 2-factor.

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Old and New Problems and Results in Ramsey Theory,In this note, I will describe a variety of problems from Ramsey theory on which I would like to see progress made. I will also discuss several recent results which do indeed make progress on some of these problems.

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