Siddani Bhaskara Rao

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Let N0 denote the set of all non-negative integers and X be any subset of X. Also denote the power set of X by P(X). An integer additive set-labeling (IASL) of a graph G is an injective function f : V (G) ! P(X) such that the induced function f+ : E(G) ! P(X) is defined by f+(uv) = f(u) + f(v), where f(u) + f(v) is the sumset of f(u) and f(v). An IASL f is(More)
In this paper we prove that no signed graph on the complete graph K p , p ≥ 6, is graceful, and we also give a characterization of graceful signed graphs on K p , p ≤ 5. This implies that there is no subset A of cardi-nality p ≥ 6 from the set {0, 1 2 p 2 , such that each element of the set {1, 2,. .. , n} occurs exactly twice and each element of the(More)
The energy of a graph is the sum of the absolute values of its eigenvalues. Two graphs are said to be equienergetic if their energies are equal. We show how infinitely many pairs of equienergetic graphs can be constructed, such that these graphs are connected, possess equal number of vertices, equal number of edges, and are not cospectral.
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