most citedEdge Coloring of Triangle-Free 1-Planar Graphs

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

collaborators

6 papers

math.CO2011

(2,1)-Total labeling of planar graphs with large maximum degree

Yong Yu, Xin Zhang, Guanghui Wang +1

The (,1)-total labelling of graphs was introduced by Havet and Yu. In this paper, we prove that, for planar graph with maximum degree and , the (2,1)-total la…

math.CO2011

List (d,1)-total labelling of graphs embedded in surfaces

Yong Yu, Xin Zhang, Guizhen Liu

The (d,1)-total labelling of graphs was introduced by Havet and Yu. In this paper, we consider the list version of (d,1)-total labelling of graphs. Let G be a graph embedded in a s…

math.CO20112 cited

Class two 1-planar graphs with maximum degree six or seven

Xin Zhang

A graph is 1-planar if it can be drawn on the plane so that each edge is crossed by at most one other edge. In this note we give examples of class two 1-planar graphs with maximum…

math.CO20111 cited

k-forested choosability of graphs with bounded maximum average degree

Xin Zhang, Guizhen Liu, Jian-Liang Wu

A proper vertex coloring of a simple graph is -forested if the graph induced by the vertices of any two color classes is a forest with maximum degree less than . A graph is $…

math.CO2011

Group edge choosability of planar graphs without adjacent short cycles

Xin Zhang, Guizhen Liu

In this paper, we aim to introduce the group version of edge coloring and list edge coloring, and prove that all 2-degenerate graphs along with some planar graphs without adjacent…

math.CO20103 cited

Edge Coloring of Triangle-Free 1-Planar Graphs

Xin Zhang, Guizhen Liu, Jian-Liang Wu

it is shown that each triangle-free 1-planar graph with maximum degree can be -colorable by Discharging Method.