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Ringel's tree packing conjecture in quasirandom graphs

Published 21 Apr 2020 in math.CO | (2004.09947v1)

Abstract: We prove that any quasirandom graph with $n$ vertices and $rn$ edges can be decomposed into $n$ copies of any fixed tree with $r$ edges. The case of decomposing a complete graph establishes a conjecture of Ringel from 1963.

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