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Results tagged with graph-colorings
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user 6322
Vertex colouring, Edge Colouring, List Colouring, Fractional Chromatic Number and other variants of graph colouring problems are all on topic.
8
votes
Accepted
How many uniquely colored degree two vertices in 3-coloring of subcubic graph?
No such graph exists (that is, you cannot have a subcubic graph with three degree-$2$ vertices all forced to the same color). Suppose that such a graph exists; we may assume the graph is connected. Th …
- 681
5
votes
Accepted
List chromatic index of a particular graph
Greedy coloring works here to show $2p$-choosability, I believe, and the hypothesis that $p$ is prime doesn't appear to be necessary. Write the cliques as $A = \{a_1, \ldots, a_{p+1}\}$ and $B = \{b_1 …
- 681