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