Cubic graphs – those regular graphs in which every vertex has degree three – remain a fertile area of research in both combinatorics and theoretical computer science. These graphs are not only central ...

Conjecture (Berge and Fulkerson): Every 2-connected cubic graph has a collection of six perfect matchings that together cover every edge exactly twice. This conjecture is attributed to Berge in [2].

Abstract: The combination of cubic fuzzy graphs and fuzzy graph structures, the cubic fuzzy graph structure specializes for handling complicated issues, particularly those involving many interactions.