Applications of the Kelmans Transformation: Extremality of the Threshold Graphs

  • Péter Csikvári

Abstract

In this paper we study various extremal problems related to some combinatorially defined graph polynomials such as matching polynomial, chromatic polynomial, Laplacian polynomial. It will turn out that many problems attain its extremal value in the class of threshold graphs. To attack these kinds of problems we survey several applications of the so-called Kelmans transformation.

Published
2011-09-20
Article Number
P182