Yan Cao

activity

20172026

most citedProof of the Core Conjecture of Hilton and Zhao

3 citations · 6 across the 16 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.CO2020

Overfullness of critical class 2 graphs with a small core degree

Yan Cao, Guantao Chen, Songling Shan

Let $G$ be a simple graph, and let $n$ , $Δ (G)$ and $χ^{'} (G)$ be the order, the maximum degree and the chromatic index of $G$ , respectively. We call $G$ overfull if $|E(G)|/\lfloor n…

math.CO2020

$Δ$ -critical graphs with a vertex of degree 2

Yan Cao, Guantao Chen, Songling Shan

Let $G$ be a simple graph with maximum degree $Δ$ . A classic result of Vizing shows that $χ^{'} (G)$ , the chromatic index of $G$ , is either $Δ$ or $Δ + 1$ . We say $G$ is of \emph{Class 1…

math.CO2020★ 3 cited

Proof of the Core Conjecture of Hilton and Zhao

Yan Cao, Guantao Chen, Guangming Jing +1

Let $G$ be a simple graph with maximum degree $Δ$ . We call $G$ \emph{overfull} if $∣ E (G) ∣ > Δ ⌊ ∣ V (G) ∣/2 ⌋$ . The \emph{core} of $G$ , denoted $G_{Δ}$ , is the subgraph of $G$ i…

Overfullness of critical class 2 graphs with a small core degree

Δ-critical graphs with a vertex of degree 2

Proof of the Core Conjecture of Hilton and Zhao

$Δ$ -critical graphs with a vertex of degree 2