A useful tool for investigation various problems in mathematical chemistry and  computational physics is graph entropy.  In this paper, we introduce a new version of graph entropy  and  then we determine it for some classes ...

Sanskruti index is the important topological index used to test the chemical properties of chemical comopounds. In this paper, first we obtain the formulae for calculating the Sanskruti index of bridge graph and carbon ...

Let $MG(i,n)$ $(1leq  i leq 3)$ denote to the class of all $n$-vertex molecular graphs with minimum degree $ i$.  The  inverse  sum  indeg  index of   a   graph  is   defined   as    $ISI=sum_{uvin E(G)}  d_ud_v/(d_u+d_v)$,   ...

The Graovac-Pisanski index is defined in 1991 namely 56 years after the definition of Wiener index by Graovac and Pisanski. They called it as modified Wiener index based on the sum of distances between all the pairs α(u,α(u)) ...

Abstract. Let MG(i,n) denote to the class of all n-vertex molecular graphs with minimum degree i, where 1≤ i ≤3. The inverse sum indeg index of a graph is defined as , where du denotes to the degree of vertex u. In this ...

A topological index of a molecule graph G is a real number which is invariant under graph isomorphism. The Wiener and Szeged indices are two important distance based topological indices applicable in nanoscience. In this ...

A graph G of order n is said to be borderenergetic if its energy is equal to 2n − 2. In this paper, we study the borderenergetic and Laplacian borderenergetic graphs.