We show that it is NP complete to determine whether it is possible to edge color a regular graph of degree k with k colors for any k ⩾ 3. As a by-product of ...
The chromatic index of a graph is the minimum number of colors required to color the edges of the graph in such a way that no two adjacent.
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Jul 2, 2022 · Technically, finding the chromatic number is an NP-hard problem rather than an NP-complete problem, since it is not a decision problem.
Abstract. We show that it is NP-complete to determine the chromatic index of an arbitrary graph. The problem remains NP-complete even for cubic graphs.
It is shown that it is NP-complete to determine the chromatic index of an arbitrary graph, even for cubic graphs.
Abstract. We show that it is NP-complete to determine the chromatic index of an arbitrary graph. The problem remains NP-complete even for cubic graphs.
... NP-completeness of determining the chromatic index of ∆-regular graphs of ... Galil, NP-completeness of finding the chromatic index of regular graphs, J.
We show that it is NP-complete to determine whether the chromatic index of a graph is equal to its maximum degree when the input is restricted to regular graphs ...
Sep 16, 2020 · It is also known that determining whether a graph G is class 1 is an NP-complete problem [18]. If G is regular of degree k, then G is class 1 ...
We show that it is NP-complete to determine the chromatic index of an arbitrary graph. The problem remains NP-complete even for cubic graphs. Key words ...