Extremal graphs and the Erdős-Stone-Simonovits theorems

Publication date

DOI

Document Type

Bachelor Thesis

Collections

Open Access logo

License

CC-BY-NC-ND

Abstract

The Erdős-Stone-Simonovits theorems say that any graph F can be embedded in any graph G when G has a sufficient amount of vertices and edges. We will discuss some extremal problems and look at the Turán numbers of triangles, quadrilater- als and some other graphs leading up to the proof of the Erdős-Stone-Simonovits theorems.

Keywords

extremal graph; Erdős-Stone-Simonovits; Erdős-Stone; graph theory

Citation