Webb2 maj 2024 · The input of the Maximum Colored Cut problem consists of a graph G= (V,E) with an edge-coloring c:E→ {1,2,3,... , p} and a positive integer k, and the question is whether G has a nontrivial edge cut using at least k colors. The Colorful Cut problem has the same input but asks for a nontrivial edge cut using all p colors. Webb23 juli 2024 · An injective edge-coloring of a graph is an edge-coloring such that if , , and are three consecutive edges in (they are consecutive if they form a path or a cycle of length three), then and receive different colors. The minimum integer such that, has an injective edge-coloring with colors, is called the injective chromatic index of ( ).
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Webb23 juli 2024 · We give new upper bounds for this parameter and we present the relationships of the injective edge-coloring with other colorings of graphs. The … WebbA natural way of increasing our understanding of NP-complete graph problems is to restrict the input to a special graph class. Classes of -free graphs, that is, graphs that do not … people that got killed on zoom
List injective edge-coloring of subcubic graphs ScienceGate
WebbAn injective edge-coloring c of a graph G is an edge-coloring such that if e1, e2, and e3 are three consecutive edges in G (they are consecutive if they form a path or a cycle of length three), then e1 and e3 receive different colors. The minimum integer k such that, G has an injective edge-coloring with k Webb23 juli 2024 · An injective edge-coloring $c$ of a graph $G$ is an edge coloring such that if $e_1$, $e_2$ and $e_3$ are three consecutive edges in $G$ (they are … Webbcubic graphs, planar subcubic graphs of arbitrarily large girth, and planar bipartite subcubic graphs of girth 6. Injective 4-Edge-Coloring remains NP-complete for cubic … to introduce a person