Average lower independence number in splitting graphs

Makaleler > Tam Makale · 2016

Yazarlar: Aysun AYTAÇ, Betul Atay

New Trends in Mathematical Science, Uluslararası, 2016, cilt 4, ss 259-259

DOI: 10.20852/ntmsci.2016.112

Özet

Let G be a graph.The splitting graph S ′ (G) for a graph G is obtained by adding a new vertex v ′ corresponding to each vertex v of G such that N(v) = N(v ′ ), where N(v) and N(v ′ ) are neighborhood sets of v and v ′ , respectively.The average lower independenceis the minimum cardinality of a maximal independent set that contains v.In this paper, we consider the average lower independence number in splitting graph.We determine the average lower independence number of S ′ (G) for specific graphs G.

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