Hao Liang

activity

20122026

most citedEquations in nilpotent groups

2 citations · 3 across the 11 of their papers we have counts for

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math.CO2017

On Seymour's Second Neighborhood Conjecture of m-free Digraphs

Hao Liang, Jun-Ming Xu

This paper gives an approximate result related to Seymour's Second Neighborhood conjecture, that is, for any $m$ -free digraph $G$ , there exists a vertex $v \in V (G)$ and a real numb…

math.CO2012

On the minimal feedback arc set of m-free Digraphs

Hao Liang, Jun-Ming Xu

For a simple digraph $G$ , let $β (G)$ be the size of the smallest subset $X \subseteq E (G)$ such that $G - X$ has no directed cycles, and let $γ (G)$ be the number of unordered pairs of…

math.CO2012

A note on directed 4-cycles in digraphs

Hao Liang, Jun-Ming Xu

Using some combinatorial techniques, in this note, it is proved that if $α \geq 0.28866$ , then any digraph on $n$ vertices with minimum outdegree at least $α n$ contains a directed c…