Edge-Colored Graph Theory is a vibrant area within combinatorics that extends the classical study of graphs by assigning colours to edges. This paradigm not only uncovers subtle structural ...

Min-Jen Jou, 周敏貞, CHARACTERIZATION OF GRAPHS WITH EQUAL DOMINATION NUMBERS AND INDEPENDENCE NUMBERS, Taiwanese Journal of Mathematics, Vol. 14, No. 4 (August 2010), pp. 1537-1542 ...

Binomial edge ideals constitute a vibrant research area where the methods of commutative algebra intersect with the combinatorial structures inherent in graph theory.

AbstractFor a non-trivial connected graph 𝐺, a set 𝑆 ⊆ 𝑉 (𝐺) is called an edge geodetic set of 𝐺 if every edge of 𝐺 is contained in a geodesic joining some pair of vertices in 𝑆. The edge ...

Two computer scientists found — in the unlikeliest of places — just the idea they needed to make a big leap in graph theory.

By preprocessing the graph, unimportant vertices (intersections) and edges can be skipped, leading to a major speed-up.