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Reciprocal distance spectrum of Indu-Bala product of graphs
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Let G be a simple connected graph. The reciprocal distance spectrum of G is the multiset of
reciprocal distance eigenvalues of G. The Indu-Bala product G▼H of two graphs G and H is obtained from two
disjoint copies of the join G∨H of G and H byjoining the corresponding vertices in the two copies of H. In this
paper we obtain the reciprocal distance spectrum of G▼H in terms of adjacency eigenvalues of G and H. We
also construct infinitely many non-isomorphic pairs of reciprocal distance equienergetic graphs and reciprocal
distance cospectral graphs of diameter 3
Technical University of Cluj Napoca, North University Center of Baia Mare
Title: Reciprocal distance spectrum of Indu-Bala product of
graphs
Description:
Let G be a simple connected graph.
The reciprocal distance spectrum of G is the multiset of
reciprocal distance eigenvalues of G.
The Indu-Bala product G▼H of two graphs G and H is obtained from two
disjoint copies of the join G∨H of G and H byjoining the corresponding vertices in the two copies of H.
In this
paper we obtain the reciprocal distance spectrum of G▼H in terms of adjacency eigenvalues of G and H.
We
also construct infinitely many non-isomorphic pairs of reciprocal distance equienergetic graphs and reciprocal
distance cospectral graphs of diameter 3.
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