Let GG be a graph. The energy of is defined as the summation absolute values eigenvalues adjacency matrix GG. It possible to study several types graph originating from defining various matrices by correspondingly different invariants. first step computing characteristic polynomial for obtaining corresponding In this paper, formulae coefficients polynomials both Randic and Sombor path PnPn , cyc...

Given a graph G, let G be an oriented graph of G with the orientation σ and skewadjacency matrix S(G). Then the spectrum of S(G) consisting of all the eigenvalues of S(G) is called the skew-spectrum of G, denoted by Sp(G). The skew energy of the oriented graph G, denoted by ES(G), is defined as the sum of the norms of all the eigenvalues of S(G). In this paper, we give orientations of the Krone...

In this paper, skew ABC matrix and its energy are introduced for digraphs. Firstly, some fundamental spectral features of the digraphs established. Then upper lower bounds presented Further extremal determined attaining these bounds.

In this paper, we present some new lower and upper bounds for the modified Randic index in terms of maximum, minimum degree, girth, algebraic connectivity, diameter and average distance. Also we obtained relations between this index with Harmonic and Atom-bond connectivity indices. Finally, as an application we computed this index for some classes of nano-structures and linear chains.

Compared with their isoelectronic system ethane, both hydrogen peroxide and hydrazine exhibit a double well torsional energy curve where skew conformers are favored over trans conformers and cis conformers are energy-maximum states. Clearly, the involvement of the lone oxygen and nitrogen pairs, or more specifically, the enhanced stabilizing n→σ* negative hyperconjugation effect and destabilizi...

qspr study on benzene derivatives have been made using recently introduced topological methodology. in this study the relationship between the randic' (x'), balaban (j), szeged (sz),harary (h), wiener (w), hyperwiener and wiener polarity (wp) to the thermal energy (eth), heat capacity (cv) and entropy (s) of benzene derivatives is represented.physicochemical properties are taken from the quantu...

Topological indices are the numerical value associated with chemical constitution purporting for correlation of chemical structure with various physical properties, chemical reactivity or biological activity. Graph theory is a delightful playground for the exploration of proof techniques in Discrete Mathematics and its results have applications in many areas of sciences. One of the useful indic...