Measurements of graphs and retrieving structural information complex networks using degree-based network entropy have become an informational theoretical concept. This terminology is extended by the concept Shannon entropy. In this paper, we introduce with having edge weights which are basically redefined Zagreb indices. Some bounds calculated to idealize performance in limiting different kinds...

Topological indices have been used to modeling biological and chemical properties of molecules in quantitive structure property relationship studies and quantitive structure activity studies. All the degree based topological indices have been defined via classical degree concept. In this paper we define a novel degree concept for a vertex of a simple connected graph: S degree. And also we defin...

Topological indices are numeric values associated with a graph and characterize its structure. There various topological in theory such as degree-based, distance-based, counting-related indices. Among these indices, degree-based very interesting studied well literature. In this work, we the generalized form of harmonic, geometric-arithmetic, Kulli–Basava power-sum-connectivity index for special...

the first ($pi_1$) and the second $(pi_2$) multiplicative zagreb indices of a connected graph $g$, with vertex set $v(g)$ and edge set $e(g)$, are defined as $pi_1(g) = prod_{u in v(g)} {d_u}^2$ and $pi_2(g) = prod_{uv in e(g)} {d_u}d_{v}$, respectively, where ${d_u}$ denotes the degree of the vertex $u$. in this paper we present a simple approach to order these indices for connected graphs on ...

Immunity index of a graph is the least integer c1 such that each configuration of size c1 is immune. Catastrophic index of a graph is the least integer c2 such that each configuration of size c2 is catastrophic. This paper contains the first systematic study of immunity indices on a variety of interconnection networks and their distance from catastrophic indices.