ON DEG-CENTRIC JACO GRAPHS
Timmy Tomy Thalavayalil, Francin Mathew, S. P. Nikhit Mathew, K. Chinju Krishna · Advances and Applications in Discrete Mathematics · 2025
The deg-centric graph of a graph , denoted by , is a derived graph with the vertex set same as that of , and . Let and , where . By normal consecutive stepcount for , do as follows: To obtain add the edges with as the maximum such that . After completion of step-count , label the graph . This paper presents the coloring properties, hub number, and domination number of the deg-centric graph of the family of Jaco graphs.