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Co-regular Total Domination in Graphs

M. H. Muddebihal, Priyanka H. Mandarvadkar in Information Sciences

International Journal of Applied Information Systems
Year of Publication:2020
Publisher: Foundation of Computer Science (FCS), NY, USA
Authors:M. H. Muddebihal, Priyanka H. Mandarvadkar
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  1. M H Muddebihal and Priyanka H Mandarvadkar. Co-regular Total Domination in Graphs. International Journal of Applied Information Systems 12(28):16-19, April 2020. URL, DOI BibTeX

    	author = "M. H. Muddebihal and Priyanka H. Mandarvadkar",
    	title = "Co-regular Total Domination in Graphs",
    	journal = "International Journal of Applied Information Systems",
    	issue_date = "April 2020",
    	volume = 12,
    	number = 28,
    	month = "April",
    	year = 2020,
    	issn = "2249-0868",
    	pages = "16-19",
    	url = "",
    	doi = "10.5120/ijais2020451852",
    	publisher = "Foundation of Computer Science (FCS), NY, USA",
    	address = "New York, USA"


A total dominating set D of a graph G=(V,E) is a coregular total dominating set if the induced subgraph is regular. The coregular total domination number γcrt (G) of G is the minimum cardinality of a coregular total dominating set. In this paper, we study its exact values for some standard graphs and many bounds on γcrt (G) were obtained. Its relation with other different domination parameter investigated.


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Graph, Domination number, Coregular total domination number