6533b86cfe1ef96bd12c8b49

RESEARCH PRODUCT

Claws contained in all n-tournaments

Xiaoyun Lu

subject

Discrete mathematicsComputer Science::Computer Science and Game TheoryClawMathematics::CombinatoricsComputer Science::Neural and Evolutionary ComputationHamiltonian pathTheoretical Computer ScienceCombinatoricssymbols.namesakeCorollaryComputer Science::Discrete MathematicssymbolsDiscrete Mathematics and CombinatoricsTournamentMathematics

description

Abstract We prove that any claw of order n with degree d≤ 3 8 n is n-unavoidable, which means that any tournament of order n contains it as a subdigraph. A simple corollary is that any tournament has a directed Hamiltonian path.

https://doi.org/10.1016/0012-365x(93)90120-i