CO-REGULAR SPLIT DOMINATION IN GRAPHS

Authors

  • M.H.Muddebihal, Priyaka.H.Madarvadkar Author

Keywords:

Dominating set /Split domination / Total domination/ Regular domination / Coregular split domination

Abstract

In this paper, we introduce the new concept in domination theory. A dominating set �㔷 ⊆
�㕉(�㔺) is a coregular split dominating set if the induced subgraph < �㕉 − �㔷 > is regular and disconnected. 
The minimum cardinality of such a set is called a coregular split domination number and is denoted by 
�㗾௖௥௦(�㔺). Also we study the graph theoretic property of �㗾௖௥௦(�㔺) and many bounds were obtained interms 
of �㔺 and its relationship with other domination parameters were found. 

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Published

2022-06-19

Issue

Vol. 40 No. 6 (2022)

Section

Articles