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 ...

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].

cubic graphs, reciprocal graphs, exponential graphs - Higher, The equation of a circle - Higher,the equation of the tangent to a circle - Higher and sketching graphs. If you struggled with the ...

Problem: What can be said about cubic contraction critical polyhedral maps? Are they 3-edge-colorable? Is asking this equivalent to Grünbaum's Conjecture? If G is the dual graph of a complete graph ...