Some Star and Bistar Related Divisor Cordial Graphs

نویسندگان

  • S. K. Vaidya
  • N. H. Shah
چکیده

A divisor cordial labeling of a graph G with vertex set V is a bijection f from V to {1, 2,... | |} V such that an edge uv is assigned the label 1 if either ( ) | ( ) f u f v or ( ) | ( ) f v f u and the label 0 if ( ) ( ) f u f v , then number of edges labeled with 0 and the number of edges labeled with 1 differ by at most 1. A graph with a divisor cordial labeling is called a divisor cordial graph. In this paper we prove that splitting graphs of star 1,n K and bistar , n n B are divisor cordial graphs. Moreover we show that degree splitting graph of , n n B , shadow graph of , n n B and square graph of , n n B admit divisor cordial labeling..

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تاریخ انتشار 2013