eng Ansari Education and Research Society Journal of Ultra Scientist of Physical Sciences August 2010 22 2 467 472 jusps-A 994 article Total number of perfect dominating sets of graphs G. Deepak (deepak1873@gmail.com) 1 N.D. Soner (ndsoner@yhaoo.com.in) 1 Department of Mathematics, University of Mysore - Manasagangotri, Mysore - 570006 (INDIA) <p style="text-align: justify;">This paper is concerned with special kinds of perfect dominating sets of the graphs P<sub>n </sub>and C<sub>n</sub>. The perfect dominating set, the split perfect dominating sets of a graph are also considered. Using a recurrence relation we give the number of all perfect dominating sets mentioned for the graphs P<sub>n </sub>and C<sub>n</sub>.</p> <p>&nbsp;</p> <p>&nbsp;</p> https://www.ultrascientist.org/paper/994/ Graphs Perfect dominating sets split perfect dominating sets