Details

Autor(en) / Beteiligte

• Suja, K.
• Vishwanathan, K.
• Vennila, B.
• Siva, E.P.
• KATIYAR, SAURABH KUMAR
• Pullepu, Babuji

Titel

Split domination of some special graph

Ist Teil von

• AIP Conference Proceedings, 2022, Vol.2516 (1)

Ort / Verlag

Melville: American Institute of Physics

Erscheinungsjahr

2022

Beschreibungen/Notizen

• Split domination was introduced by Kulli and Janakiram. Let G be a graph with V as the vertex set and E as the edge set. Assume D is the subset. If the induced sub graph < V - D > is disconnected, the dominating set D of graph G is called a split dominating set. The split dominating number γS(G) is the minimum cardinality of the split dominating set. Split domination number γS(G) of G is the minimum cardinality over all the split dominating set in a graph G. In this paper we discussed about different types of the split domination graphs such as Ladder graph (Ln), Gear graph (Gn), Helm graph (Hn), Kronecker product of ladder graph, Kronecker product of ladder and gear graph, Kronecker product of diamond and bull graph.