Tree domatic number in graphs

A dominating set \(S\) in a graph \(G\) is a tree dominating set of \(G\) if the subgraph induced by \(S\) is a tree. The tree domatic number of \(G\) is the maximum number of pairwise disjoint tree dominating sets in \(V(G)\). First, some exact values of and sharp bounds for the tree domatic number...

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Bibliographic Details
Main Author: Xue-gang Chen
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2007-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol27/1/art/opuscula_math_2701.pdf