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Tree tilings in random regular graphs

math.CO · 2024-12-27 · accept · novelty 8.0

For every fixed epsilon, with high probability the random d-regular graph contains a vertex-partition into copies of any prescribed tree of size at most (1-epsilon)d/ln d.

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  • Tree tilings in random regular graphs math.CO · 2024-12-27 · accept · none · ref 5

    For every fixed epsilon, with high probability the random d-regular graph contains a vertex-partition into copies of any prescribed tree of size at most (1-epsilon)d/ln d.