k-Tuple total domination and Mycieleskian graphs

Let $k$ be a positive integer. A subset $S$ of $V(G)$ in a graph $G$ is a $k$-tuple total dominating set of $G$ if every vertex of $G$ has at least $k$ neighbors in $S$. The $k$-tuple total domination number $gamma _{times k,t}(G)$ of $G$ is the minimum cardinality of a $k$-tuple total dominating se...

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Bibliographic Details
Main Author: Adel P. Kazemi
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=333&_ob=1c8f4a659abb4fec82b4bd7691dba941&fileName=full_text.pdf