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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

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Showing 2011Show all

8 papers · 1 filter

math.CO2011★ 7 cited

Total coloring of pseudo-outerplanar graphs

Xin Zhang, Guizhen Liu

A graph is pseudo-outerplanar if each of its blocks has an embedding in the plane so that the vertices lie on a fixed circle and the edges lie inside the disk of this circle with e…

math.CO2011★ 1 cited

Edge covering pseudo-outerplanar graphs with forests

Xin Zhang, Guizhen Liu, Jian-Liang Wu

A graph is called pseudo-outerplanar if each block has an embedding on the plane in such a way that the vertices lie on a fixed circle and the edges lie inside the disk of this cir…

math.CO2011

(1,λ)-embedded graphs and the acyclic edge choosability

Xin Zhang, Guizhen Liu, Jian-Liang Wu

A (1,λ)-embedded graph is a graph that can be embedded on a surface with Euler characteristic λ so that each edge is crossed by at most one other edge. A graph G is called α-linear…

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.CO2011★ 2 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…