3 problems

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The Grundy–b-chromatic boundedness conjecture for b-monotone graphs
Grundy–b-chromatic boundedness conjecture. There exists a function $f$ such that
Conjecturesolvedb-chromatic-number graph-coloring grundy-numberarXiv posted 2 days ago
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The boundedness conjecture for b-monotone graphs
Boundedness conjecture. The family of b-monotone graphs is $(\Gamma,b)$ -bounded.
Conjectureopenb-chromatic-number graph-coloring grundy-numberarXiv posted 2 days ago
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Zaker's lower-bound conjecture for the Grundy number of $C_4$ -free graphs
Let $G$ be a graph, let $\delta(G)$ denote its minimum degree, and let $\Gamma(G)$ denote its Grundy number. Suppose that $G$ is $C_4$ -free. Zaker's conjecture. The Grundy number o…
Conjectureopenforbidden-subgraphs graph-coloring grundy-numberarXiv posted 2 days ago

The Grundy–b-chromatic boundedness conjecture for b-monotone graphs