On the total domatic number of regular graphs

A set S of vertices of a graph G = (V;E) without isolated vertex is a total dominating set if every vertex of V (G) is adjacent to some vertex in S. The total domatic number of a graph G is the maximum number of total dominating sets into which the vertex set of G can be partitioned. We show that th...

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Bibliographic Details
Main Authors: H. Aram, S.M. Sheikholeslami, L. Volkmann
Format: Article
Language:English
Published: University of Isfahan 2012-03-01
Series:Transactions on Combinatorics
Subjects:
Online Access:http://www.combinatorics.ir/?_action=showPDF&article=760&_ob=362cc9c41ad1def424bd149103450c49&fileName=full_text.pdf

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