On Bond Incident Degree Indices of Chemical Graphs
Abeer M. Albalahi, Akbar Ali, Zhibin Du, Akhlaq Ahmad Bhatti, Tariq Alraqad, Naveed Iqbal, Amjad E. Hamza
Abstract
By swapping out atoms for vertices and bonds for edges, a graph may be used to model any molecular structure. A graph G is considered to be a chemical graph in graph theory if no vertex of G has a degree of 5 or greater. The bond incident degree (BID) index for a chemical graph G is defined as the total of contributions f(dG(u),dG(v)) from all edges uv of G, where dG(w) stands for the degree of a vertex w of G, E(G) is the set of edges of G, and f is a real-valued symmetric function. This paper addresses the problem of finding graphs with extremum BID indices over the class of all chemical graphs of a fixed number of edges and vertices.
Topics & Concepts
CombinatoricsVertex (graph theory)MathematicsDegree (music)GraphDiscrete mathematicsMolecular graphPhysicsAcousticsGraph theory and applicationsComputational Drug Discovery MethodsHistory and advancements in chemistry