Abstract
The two fastest-growing subfields of graph theory are graph coloringand topological indices. Graph coloring is assigning the colors/values to theedges/vertices or both. A proper coloring of the graph G is assigning colors/valuesto the vertices/edges or both so that no two adjacent vertices/edges share the samecolor/value. Recently, studies involving Chromatic Topological indices that dealtwith different graph coloring were studied. In such studies, the vertex degrees getreplaced with the colors, and the computation is carried out based on the topologicalindex of our choice. We focus on b-Chromatic Zagreb indices and b-Chromaticirregularity indices in this work. This paper discusses the b-Chromatic Zagreb indicesand b-Chromatic irregularity indices of the gear graph, star graph, and itsderived graphs such as the line and middle graph.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
