A Study on Exact Deg-Centric Graphs of Graphs

TT Thalavayalil, J Kok, S Naduvath - Journal of Interconnection …, 2024 - World Scientific
The exact deg-centric graph of a simple, connected graph G, denoted by G ed, is a graph
constructed from G such that V (G ed)= V (G) and E (G ed)={vivj: d G (vi, vj)= deg G (vi)}. In …

A study on coarse deg-centric graphs

TT Thalavayalil, S Naduvath - Gulf Journal of Mathematics, 2024 - gjom.org
The coarse deg-centric graph of a simple, connected graph G, denoted by G cd, is a graph
constructed from G such that V (G cd)= V (G) and E (G cd)={vivj: d G (vi, vj)> deg G (vi)}. This …