Reduced second Zagreb index of bicyclic graphs with pendent vertices

Reduced second Zagreb index has been defined recently. In this paper we characterized extremal bicyclic graphs with pendent vertices with respect to this novel index

On Van, R and S entropies of graphenylene

Applications in the disciplines of chemistry, pharmaceuticals, communication, physics, and aeronautics all heavily rely on graph theory. To examine the properties of chemical compounds, the molecules are modelled as a graph. A few physical characteristics of the substance, including its boiling point, enthalpy, pi-electron energy, and molecular weight, are related to its geometric shape. Through the resolution of one of the interdisciplinary problems characterizing the structures of benzenoid hydrocarbons and graphenylene, the essay seeks to ascertain the practical applicability of graph theory. The topological index, which displays the correlation of chemical structures using numerous physical, chemical, and biological processes, is an invariant of a molecular graph connected with the chemical structure. Shannon's concept of entropy served as the basis for the graph entropies with topological indices, which are now used to measure the structural information of chemical graphs. Using various graph entropy metrics, the theory of graphs can be used to establish the link between particular chemical structural features. This study uses the appropriate R, S, Van topological indices to introduce some unique degree-based entropy descriptors. Additionally, the graphenylene structure's entropy measurements indicated above were computed

On Van, R and S entropies of graphenylene

Applications in the disciplines of chemistry, pharmaceuticals, communication, physics, and aeronautics all heavily rely on graph theory. To examine the properties of chemical compounds, the molecules are modelled as a graph. A few physical characteristics of the substance, including its boiling point, enthalpy, pi-electron energy, and molecular weight, are related to its geometric shape. Through the resolution of one of the interdisciplinary problems characterizing the structures of benzenoid hydrocarbons and graphenylene, the essay seeks to ascertain the practical applicability of graph theory. The topological index, which displays the correlation of chemical structures using numerous physical, chemical, and biological processes, is an invariant of a molecular graph connected with the chemical structure. Shannon's concept of entropy served as the basis for the graph entropies with topological indices, which are now used to measure the structural information of chemical graphs. Using various graph entropy metrics, the theory of graphs can be used to establish the link between particular chemical structural features. This study uses the appropriate R, S, Van topological indices to introduce some unique degree-based entropy descriptors. Additionally, the graphenylene structure's entropy measurements indicated above were computed

On Van, R and S entropies of graphenylene

Applications in the disciplines of chemistry, pharmaceuticals, communication, physics, and aeronautics all heavily rely on graph theory. To examine the properties of chemical compounds, the molecules are modelled as a graph. A few physical characteristics of the substance, including its boiling point, enthalpy, pi-electron energy, and molecular weight, are related to its geometric shape. Through the resolution of one of the interdisciplinary problems characterizing the structures of benzenoid hydrocarbons and graphenylene, the essay seeks to ascertain the practical applicability of graph theory. The topological index, which displays the correlation of chemical structures using numerous physical, chemical, and biological processes, is an invariant of a molecular graph connected with the chemical structure. Shannon's concept of entropy served as the basis for the graph entropies with topological indices, which are now used to measure the structural information of chemical graphs. Using various graph entropy metrics, the theory of graphs can be used to establish the link between particular chemical structural features. This study uses the appropriate R, S, Van topological indices to introduce some unique degree-based entropy descriptors. Additionally, the graphenylene structure's entropy measurements indicated above were computed

Maximal graphs of the first reverse Zagreb beta index

The reverse vertex degree of a vertex v of a simple connected graph G defined as; cv = ∆ − dv + 1 where ∆ denotes the largest of all degrees of vertices of G and dv denotes the number of edges incident to v. The first reverse Zagreb beta index of a simple connected graph G defined as; CMβ1 (G) = P uv∈E(G)(cu + cv). In this paper we characterized maximal graphs with respect to the first reverse Zagreb beta index.Publisher's Versio

On R, S and Van entropies of beta graphene

Topological indices are graph-theoretically based characteristics that allow for the characterization of a molecular structure's underlying connectivity. Degree-based topological indices have been the subject of substantial research and have been connected to numerous chemical characteristics. Gaining relevance is the study of graph entropy indices as a tool for characterizing structural features and as a gauge of the complexity of the connectivity underneath them. The focus of current research is on substructures like beta graphene (β-GN), that are generated from hexagonal honeycomb graphite lattices. In this study, we investigate R, S and Van topological indices of beta graphene structures by using Shannon's entropy model, we generated the graph-based entropies of these structures