# THE BONDAGE NUMBER OF C3×Cn

• Sohn, Moo-Young (DEPARTMENT OF APPLIED MATHEMATICS CHANGWON NATIONAL UNIVERSITY) ;
• Xudong, Yuan (DEPARTMENT OF MATHEMATICS GUANGXI NORMAL UNIVERSITY) ;
• Jeong, Hyeon-Seok (DEPARTMENT OF APPLIED MATHEMATICS CHANGWON NATIONAL UNIVERSITY)
• Published : 2007.11.30
• 97 5

#### Abstract

The domination number ${\gamma}(G)$ of a graph G=(V,E) is the minimum cardinality of a subset of V such that every vertex is either in the set or is adjacent to some vertex in the set. The bondage number of b(G) of a graph G is the cardinality of a smallest set of edges whose removal from G results in a graph with domination number greater than ${\gamma}(G)$. In this paper, we calculate the bondage number of the Cartesian product of cycles $C_3\;and\;C_n$ for all n.

#### Keywords

graph;domination number;bondage number

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