New Formulae for the Decycling Number of Graphs

A set S of vertices of a graph G is called a decycling set if G−S is acyclic. The minimum order of a decycling set is called the decycling number of G, and denoted by ∇(G). Our results include: (a) For any graph G,, where T is taken over all the spanning trees of G and α(G − E(T)) is the independenc...

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Bibliographic Details
Main Authors: Yang Chao, Ren Han
Format: Article
Language:English
Published: Sciendo 2019-02-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.2064