Triple Connected Equitable Domination in Fuzzy Graphs |
Author(s): |
| S. Revathi , Kings College of Engineering; C. V. R. Hari Narayanan, Govt.Arts college. Paramakudi; R. Muthuraj, H.H.The Rajah?s College, Pudukkottai |
Keywords: |
| Fuzzy Equitable dominating set, connected fuzzy equitable dominating set, fuzzy equitable domination number, connected fuzzy equitable domination number, fuzzy triple connected dominating set and fuzzy triple connected equitable domination number |
Abstract |
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The concept of triple connected graphs with real life application was introduced in [7] by considering the existence of a path consists of any three vertices of a fuzzy graph G.In[4] G.Mahadevan et.al., was introduced the concepts of triple connected domination number of a graph. In this paper we introduce a new domination parameter called triple connected equitable domination number of a fuzzy graph. A subset S of V of a graph G is said to be fuzzy triple connected equitable dominating set. If S is equitable dominating set and the induced subgraph is triple connected. The minimum cardinality taken over all triple connected equitable dominating sets is called the fuzzy triple connected equitable domination number .We determine this number for some standard fuzzy graphs. Its relationship with other fuzzy graph theoretical parameters is also investigated. |
Other Details |
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Paper ID: IJSRDV5I90331 Published in: Volume : 5, Issue : 9 Publication Date: 01/12/2017 Page(s): 500-502 |
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