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Results tagged with graph-colorings
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user 106452
Vertex colouring, Edge Colouring, List Colouring, Fractional Chromatic Number and other variants of graph colouring problems are all on topic.
-2
votes
1
answer
127
views
Graph Coloring Proof χ (G) ≤ δ + 1 for k-criticals [closed]
I need this proof:
Let $G$ be a graph such that $\chi (H) <\chi (G)$ for every subgraph $H$ of $G$. A graph is called $k$-critical, if in addition $\chi (G) = k$. Prove that $\chi (G) ≤ \delta + 1$.
- 7