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Burning Graph Powers and Branching Trees

math.CO · 2026-04-24 · accept · novelty 7.0 · 2 refs

The k-th power of any connected n-vertex graph G satisfies b(G^k) ≤ ceil(sqrt(4(k-1)n/k^2)), proving the Burning Number Conjecture for all non-trivial graph powers.

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  • Burning Graph Powers and Branching Trees math.CO · 2026-04-24 · accept · none · ref 6 · 2 links

    The k-th power of any connected n-vertex graph G satisfies b(G^k) ≤ ceil(sqrt(4(k-1)n/k^2)), proving the Burning Number Conjecture for all non-trivial graph powers.