Journal of the Ramanujan Mathematical Society

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On The Connected Domatic Number of A Graph


Affiliations
1 Central Prison Palayamkottal - 627 002, India
2 Department of Mathematics, Manonmaniam Sundaranar University, Tirunelveli - 627 009, India
     

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The connected domatic number dc of a graph G = (V, E) is the maximum order of a partition of V into connected dominating sets in G. In this paper we prove that for any graph G such that both G and G are connected, dc+d≤p-2 and characterize the class of graphs for which equality holds.

Keywords

Connected Domination, Connected Domatic Number, Perfect Domi Nation.
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  • On The Connected Domatic Number of A Graph

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Authors

J. Paulraj Joseph
Central Prison Palayamkottal - 627 002, India
S. Arumugam
Department of Mathematics, Manonmaniam Sundaranar University, Tirunelveli - 627 009, India

Abstract


The connected domatic number dc of a graph G = (V, E) is the maximum order of a partition of V into connected dominating sets in G. In this paper we prove that for any graph G such that both G and G are connected, dc+d≤p-2 and characterize the class of graphs for which equality holds.

Keywords


Connected Domination, Connected Domatic Number, Perfect Domi Nation.