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dc.contributor.authorHegde, S.M.-
dc.contributor.authorShetty, S.-
dc.contributor.authorShankaran, P.-
dc.date.accessioned2020-03-31T08:31:14Z-
dc.date.available2020-03-31T08:31:14Z-
dc.date.issued2011-
dc.identifier.citationArs Combinatoria, 2011, Vol.99, , pp.487-502en_US
dc.identifier.urihttp://idr.nitk.ac.in/jspui/handle/123456789/11377-
dc.description.abstractAcharya and Hegde have introduced the notion of strongly k-indexable graphs: A (p, q)-graph G is said to be strongly k-indexable if its vertices can be assigned distinct integers 0, 1, 2, ..., p - 1 so that the values of the edges, obtained as the sums of the numbers assigned to their end vertices can be arranged as an arithmetic progression k, k + 1, k + 2, ..., k + (q - 1). Such an assignment is called a strongly k-indexable labeling of G. Figueroa-Centeno et.al, have introduced the concept of super edge-magic deficiency of graphs: Super edge-magic deficiency of a graph G is the minimum number of isolated vertices added to G so that the resulting graph is super edge-magic. They conjectured that the super edge-magic deficiency of the complete bipartite graph Km,n, is (m -1)(n - 1) and proved it for the case m = 2. In this paper we prove that the conjecture is true for m = 3, 4 and 5, using the concept of strongly k-indexable labelings.en_US
dc.titleFurther results on super edge-magic deficiency of graphsen_US
dc.typeArticleen_US
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