Bounds for matching number of fundamental realizations according to new graph invariant omega

Abstract

Matching number of a graph is one of the intensively studied areas in graph theory due to numerous applications of the matching and related notions. Recently, Delen and Cangul defined a new graph invariant denoted by ? which helps to determine several graph theoretical and combinatorial properties of the realizations of a given degree sequence. In this paper, using K2 deletion process, the maximum and minimum matching numbers of all so-called fundamental realizations of a given degree sequence. © 2020 Jangjeon Research Institute for Mathematical Sciences and Physics. All rights reserved.