arXiv subjects

Genghua Fan

Publications and source records attributed to Genghua Fan.

2 recordsLinked to original sources

arXiv2021

Circuit Covers of Signed Eulerian Graphs

A signed circuit cover of a signed graph is a natural analog of a circuit cover of a graph, and is equivalent to a covering of its corresponding signed-graphic matroid with circuits. It was conjectured that a signed graph whose signed-graphic matroid has no coloops has a 6-cover. In this paper, we prove that the conjecture holds for signed Eulerian graphs.

math.CO↗

arXiv2019

The Erdös-Sós Conjecture for Spiders

The Erdös-Sós conjecture states that if $G$ is a graph with average degree more than $k-1$, then G contains every tree of $k$ edges. A spider is a tree with at most one vertex of degree more than 2. In this paper, we prove that Erdös-Sós conjecture holds for all spiders.

math.CO↗