Equi independent equitable domination number of cycle and bistar related graphs
نویسندگان
چکیده
A subset D of ( ) V G is called an equitable dominating set if for every ( ) v V G D there exists a vertex u D such that ( ) uv E G and | ( ) ( ) | 1 deg u deg v . A subset D of ( ) V G is called an equitable independent set if for any , u D v ( ) e N u for all { } v D u . The concept of equi independent equitable domination is a combination of these two important concepts. An equitable dominating set D is said to be equi independent equitable dominating set if it is an equitable independent set. The minimum cardinality of an equi independent equitable dominating set is called equi independent equitable domination number which is denoted by e i . We investigate equi independent equitable domination number of some cycle and bistar related graphs. Some graph families whose equitable domination number is equal to its equi independent equitable domination number are also reported.
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