activity
20102022
most citedStructural properties of 1-planar graphs and an application to acyclic edge coloring

9 citations · 46 across the 37 of their papers we have counts for

collaborators

37 papers

math.CO2022★ 2 cited

Odd coloring of 2-boundary planar graphs and beyond

Weichan Liu, Mengke Qi, Xin Zhang

In this paper, we introduce the notion of 2-boundary planar graphs. A graph is 2-boundary planar if it has an embedding in the plane so that all vertices lie on the boundary of at…

math.CO2022

Defective incidence coloring of graphs

Huimin Bi, Xin Zhang

We define the -defective incidence chromatic number of a graph, generalizing the notion of incidence chromatic number, and determine it for some classes of graphs including tree…

math.CO2022

Conflict-free incidence coloring of outer-1-planar graphs

Mengke Qi, Xin Zhang

An incidence of a graph is a vertex-edge pair such that is incidence with . A conflict-free incidence coloring of a graph is a coloring of the incidences in such…

math.CO2021

Counting cliques in -planar graphs

J. Pascal Gollin, Kevin Hendrey, Abhishek Methuku +2

The problem of maximising the number of cliques among -vertex graphs from various graph classes has received considerable attention. We investigate this problem for the class of…

math.CO2020★ 1 cited

Complexity of tree-coloring interval graphs equitably

Bei Niu, Bi Li, Xin Zhang

An equitable tree--coloring of a graph is a vertex -coloring such that each color class induces a forest and the size of any two color classes differ by at most one. In this…

math.CO2019★ 2 cited

Dynamic list coloring of 1-planar graphs

Xin Zhang, Yan Li

A graph is -planar if it can be drawn in the plane so that each edge is crossed at most times. Typically, the class of 1-planar graphs is among the most investigated graph f…