The Sombor index (SO) is a vertex-degree-based graph invariant, defined as the sum over all pairs of adjacent vertices of $\sqrt{d_i^2+d_j^2}$, where $d_i$ is the degree of the $i$-th vertex. It has been conceived using geometric considerations. Recently, a series of new SO-like degree-based graph invariants (denoted by $SO_1, SO_2,..., SO_6$) is taken into consideration, when the geometric background of several classical topological indices (Zagreb, Albertson) has considered. In this paper, we compute and study these new indices for some graphs, cactus chains and polymers.Comment: 13 pages, 8 figures, 3 table
Special Issue: Advances in Mathematical ChemistryIn this paper, we perform analytical and statistica...
A chemical graph is a model used to indicate a chemical combination. In a molecular graph, vertices ...
Let G be a simple molecular graph with vertex set V (G) and edge set E(G) respectively. The degree d...
The concept of Sombor index (SO) was recently introduced by Gutman in the chemical graph theory. It ...
The Sombor index (SO) is a vertex–degree–based graph invariant, invented in the Summer of 2020, and...
Let G be a graph with vertex set V(G) and edge set E(G). A graph invariant for G is a number related...
Recently, a novel degree-based molecular structure descriptor, called Sombor index was introduced. L...
We present the bounds in terms of other important graph parameters for general Sombor index which ge...
Motivated by the recently introduced topological index, the Somber index, we define a new topologica...
Recently, Gutman defined a new vertex-degree-based graph invariant, named the Sombor index $SO$ of a...
The Sombor index of the graph G is a degree based topological index, defined as SO = Sigma(uv is an ...
Recently, Gutman introduced a class of novel topological invariants named Sombor index which is defi...
Let G be a graph with set of vertices V(G)(|V(G)|=n) and edge set E(G). Very recently, a new degree-...
For a simple connected graph $G=(V,E)$, let $d(u)$ be the degree of the vertex $u$ of $G$. The gener...
Let $ H $ be a graph with edge set $ E_H $. The Sombor index and the reduced Sombor index of a graph...
Special Issue: Advances in Mathematical ChemistryIn this paper, we perform analytical and statistica...
A chemical graph is a model used to indicate a chemical combination. In a molecular graph, vertices ...
Let G be a simple molecular graph with vertex set V (G) and edge set E(G) respectively. The degree d...
The concept of Sombor index (SO) was recently introduced by Gutman in the chemical graph theory. It ...
The Sombor index (SO) is a vertex–degree–based graph invariant, invented in the Summer of 2020, and...
Let G be a graph with vertex set V(G) and edge set E(G). A graph invariant for G is a number related...
Recently, a novel degree-based molecular structure descriptor, called Sombor index was introduced. L...
We present the bounds in terms of other important graph parameters for general Sombor index which ge...
Motivated by the recently introduced topological index, the Somber index, we define a new topologica...
Recently, Gutman defined a new vertex-degree-based graph invariant, named the Sombor index $SO$ of a...
The Sombor index of the graph G is a degree based topological index, defined as SO = Sigma(uv is an ...
Recently, Gutman introduced a class of novel topological invariants named Sombor index which is defi...
Let G be a graph with set of vertices V(G)(|V(G)|=n) and edge set E(G). Very recently, a new degree-...
For a simple connected graph $G=(V,E)$, let $d(u)$ be the degree of the vertex $u$ of $G$. The gener...
Let $ H $ be a graph with edge set $ E_H $. The Sombor index and the reduced Sombor index of a graph...
Special Issue: Advances in Mathematical ChemistryIn this paper, we perform analytical and statistica...
A chemical graph is a model used to indicate a chemical combination. In a molecular graph, vertices ...
Let G be a simple molecular graph with vertex set V (G) and edge set E(G) respectively. The degree d...