Path Decompositions of Random Directed Graphs
نویسندگان
چکیده
In this work we consider extensions of a conjecture due to Alspach, Mason, and Pullman from 1976. This concerns edge decompositions tournaments into as few paths possible. There is natural lower bound for the number needed in an decomposition directed graph terms its degree sequence; question states that correct even order. The was recently resolved large tournaments, here investigate what extent holds graphs general. particular, prove with high probability random \(D_{n,p}\) range p.
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ژورنال
عنوان ژورنال: Trends in mathematics
سال: 2021
ISSN: ['2297-024X', '2297-0215']
DOI: https://doi.org/10.1007/978-3-030-83823-2_112