Edge colouring is a fundamental concept in graph theory whereby colours are assigned to the edges of a graph such that no two adjacent edges share the same colour. This process is central to numerous ...
SEPARATION OF CARTESIAN PRODUCTS OF GRAPHS INTO SEVERAL CONNECTED COMPONENTS BY THE REMOVAL OF EDGES
Let G = (V(G), E(G)) be a graph. A set S ⊆ E(G) is an edge k-cut in G if the graph G − S = (V(G), E(G) \ S) has at least k connected components. The generalized k-edge connectivity of a graph G, ...
Taiwanese Journal of Mathematics, Vol. 24, No. 4 (August 2020), pp. 785-815 (31 pages) In 2011, Caro et al. introduced the monochromatic connection of graphs. An edge-coloring of a connected graph G ...
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