Independent Number and Dominating Number of (n,k)- Star Graphs

نویسندگان

  • Yunchao Wei
  • Fuguang Chen
  • Hongxian Zhu
چکیده

In Graph Theory, independent number and, dominating number are three of the important parameters to measure the resilience of graphs, respectively denoted by ( ) G  and ( ) G  for a graph G . But predecessors have proved that computing them are very hard. So computing ( ) G  and ( ) G  of some particular known graphs is extremely valuable. In this paper, we determine ( ) G  and ( ) G  of ( , ) n k -star graphs, denoted by , n k S , followed by some relative conclusions of n -star, denoted by n S as the isomorphism of , 1 n n S  . In addition, our method giving dominating set of , n k S is more easily understood than [7], which presented a broadcast algorithm to determine dominating set of , n k S .

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تاریخ انتشار 2013