Coloring problems concern partitions of structures. The classic problem of partitioning the set of integers into a finite number of pieces so that no one piece has an arithmetic progression of a fixed length was solved in 1927. Van der Waerden\u27s Theorem shows that it is impossible to do so. The theorem states that if the set of positive integers is partitioned into finitely many pieces, then at least one of the pieces contains arbitrarily long arithmetic progressions. Extremal problems focus on finding the largest (or smallest) structures which exhibit a certain property. For instance, we may wish to find a graph with the most number of edges which does not contain a certain fixed subgraph. The famous theorem of Turan from 1941 is the se...
We study problems in extremal graph theory with respect to edge-colorings, independent sets, and cyc...
Lazebnik, FelixLet Fn;tr(n) consist of all simple graphs on n vertices and tr(n) edges, where tr(n) ...
We prove a selection of results from different areas of extremal combinatorics, including complete o...
We consider the following two problems. (1) Let t and n be positive integers with n # t # 2. Det...
Coloring problems concern partitions of structures. The classic problem of partitioning the set of i...
Extremal combinatorics is a central theme of discrete mathematics. It deals with the problems of fin...
This dissertation contains results from various areas of Combinatorics. In Chapter 2, we consider a...
Extremal combinatorics is one of the central branches of discrete mathematics. It focuses on determi...
Extremal combinatorics is one of the central branches of discrete mathematics. It focuses on determi...
Computational combinatorics involves combining pure mathematics, algorithms, and computational resou...
Computational combinatorics involves combining pure mathematics, algorithms, and computational resou...
Extremal combinatorics deals with the following fundamental question: how large can a structure be w...
We study problems in extremal combinatorics motivated by Turan's Theorem and Ramsey Theory. In Chapt...
Extremal graph theory is a branch of discrete mathematics and alsothe central theme of extremal comb...
When numbers $1,\ldots,tn$ are colored with $t$ colors (each color is used $n$ times), there exists ...
We study problems in extremal graph theory with respect to edge-colorings, independent sets, and cyc...
Lazebnik, FelixLet Fn;tr(n) consist of all simple graphs on n vertices and tr(n) edges, where tr(n) ...
We prove a selection of results from different areas of extremal combinatorics, including complete o...
We consider the following two problems. (1) Let t and n be positive integers with n # t # 2. Det...
Coloring problems concern partitions of structures. The classic problem of partitioning the set of i...
Extremal combinatorics is a central theme of discrete mathematics. It deals with the problems of fin...
This dissertation contains results from various areas of Combinatorics. In Chapter 2, we consider a...
Extremal combinatorics is one of the central branches of discrete mathematics. It focuses on determi...
Extremal combinatorics is one of the central branches of discrete mathematics. It focuses on determi...
Computational combinatorics involves combining pure mathematics, algorithms, and computational resou...
Computational combinatorics involves combining pure mathematics, algorithms, and computational resou...
Extremal combinatorics deals with the following fundamental question: how large can a structure be w...
We study problems in extremal combinatorics motivated by Turan's Theorem and Ramsey Theory. In Chapt...
Extremal graph theory is a branch of discrete mathematics and alsothe central theme of extremal comb...
When numbers $1,\ldots,tn$ are colored with $t$ colors (each color is used $n$ times), there exists ...
We study problems in extremal graph theory with respect to edge-colorings, independent sets, and cyc...
Lazebnik, FelixLet Fn;tr(n) consist of all simple graphs on n vertices and tr(n) edges, where tr(n) ...
We prove a selection of results from different areas of extremal combinatorics, including complete o...