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Problems in Ramsey theory, probabilistic combinatorics and extremal graph theory [PDF]
In this dissertation, we treat several problems in Ramsey theory, probabilistic combinatorics and extremal graph ...
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Some problems in extremal graph theory and finite geometry
Lazebnik, FelixThis thesis is devoted to the study of several problems in extremal graph theory and finite geometry. We study properties such as girth, spectrum, and automorphism group of various families of algebraically defined graphs. We present a new
Taranchuk, Vladislav
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Two Extremal Problems in Graph Theory
We consider the following two problems. (1) Let t and n be positive integers with n t 2. Determine the maximum number of edges of a graph of order n that contains neither K t nor K t;t as a subgraph.
Richard A. Brualdi, Stephen Mellendorf
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Some Problems in Algebraic and Extremal Graph Theory. [PDF]
In this dissertation, we consider a wide range of problems in algebraic and extremal graph theory. In extremal graph theory, we will prove that the Tree Packing Conjecture is true for all sequences of trees that are \u27almost stars\u27; and we prove ...
Dobson, Edward Tauscher +2 more
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Problems in extremal graph theory and Euclidean Ramsey theory [PDF]
This thesis addresses problems of three types. The first type is finding extremal numbers for unions of graphs, each with a colour-critical edge (joint work with V. Nikiforov).
Tsaturian, Sergei
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An extremal problem in graph theory II [PDF]
AbstractWe contine our study of the following combinatorial problem: What is the largest integer N = N (t, m, p) for which there exists a set of N people satisfying the following conditions: (a) each person speaks t languages, (b) among any m people there are two who speak a common language and (c) at most p speak a common language.
Abbott, H. L. +2 more
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An extremal problem in graph theory [PDF]
G(n;l) will denote a graph of n vertices and l edges. Let f0(n, k) be the smallest integer such that there is a G (n;f0(n, k)) in which for every set of k vertices there is a vertex joined to each of these. Thus for example fo = 3 since in a triangle each pair of vertices is joined to a third.
Erdős, Pál, Moser, L.
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On the conjunctive capacity of graphs [PDF]
The investigation of the asymptotic behaviour of various graph parameters in powers of a fixed graph G=(V,E) is motivated by problems in information theory and extremal ...
Chlebikova, Janka +5 more
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Several problems in extremal combinatorics
In this thesis, we study several problems from combinatorial probability theory, discrete geometry and extremal graph theory. We establish several extremal results towards our problems.
Zichao Dong (5972447)
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Extremal theory of ordered graphs [PDF]
We call simple graphs with a linear order on the vertices ordered graphs. Turán-type extremal graph theory naturally extends to ordered graphs. This is a survey on the ongoing research in the extremal theory of ordered graphs with an emphasis on open ...
Tardos, Gábor
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