Article ID Journal Published Year Pages File Type
4648976 Discrete Mathematics 2010 7 Pages PDF
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 θθ of the matching polynomial, we define θθ-barrier and θθ-extreme sets. We prove a generalized Berge–Tutte formula and give a characterization for the set of all θθ-special vertices in a graph.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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