Extensions of barrier sets to nonzero roots of the matching polynomial

Ku, C.Y. and Wong, K.B. (2010) Extensions of barrier sets to nonzero roots of the matching polynomial. Discrete Mathematics, 310 (24). pp. 3544-3550.

Full text not available from this repository.

Abstract

In matching theory, barrier sets (also known as Tutte sets) have been studied extensively due to their connection to maximum matchings in a graph. For a root theta of the matching polynomial, we define theta-barrier and theta-extreme sets. We prove a generalized Berge-Tutte formula and give a characterization for the set of all theta-special vertices in a graph. (C) 2010 Elsevier B.V. All rights reserved.

Item Type: Article
Funders: UNSPECIFIED
Uncontrolled Keywords: Matching polynomial; Gallai-Edmonds decomposition; Barrier sets; Extreme sets
Subjects: Q Science > Q Science (General)
Depositing User: Mr Faizal 2
Date Deposited: 07 Jan 2015 05:56
Last Modified: 07 Jan 2015 05:56
URI: http://eprints.um.edu.my/id/eprint/11655

Actions (login required)

View Item View Item