Xiaxia Guan

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math.CO2026

Connectivity for slice-projections of connected polymatroids

Xiaxia Guan, Xian'an Jin

It is well-known that deleting or contracting any element of a connected matroid always yields at least one connected minor. However, for a connected polymatroid, only two such ele…

math.CO2024

Tight Toughness and Isolated Toughness for ${K_{2}, C_{n}}$ -factor critical avoidable graph

Xiaxia Guan, Hongxia Ma, Maoqun Wang

A spannning subgraph $F$ of $G$ is a ${K_{2}, C_{n}}$ -factor if each component of $F$ is either $K_{2}$ or $C_{n}$ . A graph $G$ is called a $({K_{2}, C_{n}}, n)$ -factor critical avoidable…

Connectivity for slice-projections of connected polymatroids

Tight Toughness and Isolated Toughness for {K2​,Cn​}-factor critical avoidable graph

Tight Toughness and Isolated Toughness for ${K_{2}, C_{n}}$ -factor critical avoidable graph