Abstract
For any connected graph G, the distance energy, E_D(G) is defined as the sum of the absolute eigenvalues of its distance matrix. Distance energy was introduced by Indulal et al in the year 2008. It has significant importance in QSPR analysis of molecular descriptor to study their physico-chemical properties. Our interest in this article is to establish new lower and upper bounds for distance energy.
Highlights
In chemistry, Huckle molecular Orbital(HMO) theory is used to calculate π-electron energy of conjugated hydrocarbon
Given a graph G, the distance energy of G is defined by n
For a connected graph G, Koolen and Moulton upper bound [8] for distance energy in terms of W, M and n is ED(G) ≤ n + (n − 1) 2M − n f or 2W ≥ n
Summary
Huckle molecular Orbital(HMO) theory is used to calculate π-electron energy of conjugated hydrocarbon. The largest eigenvalue μ1 is called the distance spectral radius of the graph G. Given a graph G, the distance energy of G is defined by n For a connected graph G, Koolen and Moulton upper bound [8] for distance energy in terms of W , M and n is ED(G) ≤ n + (n − 1) 2M − n f or 2W ≥ n
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