Results 11 to 20 of about 119,018,322 (196)

Problems in Ramsey theory, probabilistic combinatorics and extremal graph theory [PDF]

open access: yes, 2015
In this dissertation, we treat several problems in Ramsey theory, probabilistic combinatorics and extremal graph ...

core   +3 more sources

Some problems in extremal graph theory and finite geometry

open access: yes, 2023
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
core   +3 more sources

Two Extremal Problems in Graph Theory

open access: yesThe Electronic Journal of Combinatorics, 1994
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
core   +3 more sources

Some Problems in Algebraic and Extremal Graph Theory. [PDF]

open access: yes, 1995
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
core   +2 more sources

Problems in extremal graph theory and Euclidean Ramsey theory [PDF]

open access: yes, 2019
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
core   +3 more sources

An extremal problem in graph theory II [PDF]

open access: yesJournal of the Australian Mathematical Society, 1980
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
openaire   +2 more sources

An extremal problem in graph theory [PDF]

open access: yesJournal of the Australian Mathematical Society, 1970
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.
openaire   +1 more source

On the conjunctive capacity of graphs [PDF]

open access: yes, 2013
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
core   +1 more source

Several problems in extremal combinatorics

open access: yes, 2023
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)
core   +1 more source

Extremal theory of ordered graphs [PDF]

open access: yes, 2018
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
core   +2 more sources

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