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20122024
most citedThe generalized 3-connectivity of burnt pancake graphs and godan graphs

1 citations · 1 across the 11 of their papers we have counts for

collaborators

11 papers

math.CO2024

The generalized 4-connectivity of godan graphs

Jing Wang, Yuanqiu Huang, Zhangdong Ouyang

The generalized -connectivity of a graph , denoted by , is the minimum number of internally edge disjoint -trees for any and . The general…

math.CO2023

The generalized 4-connectivity of burnt pancake graphs

Jing Wang, Jiang Wu, Zhangdong Ouyang +1

The generalized -connectivity of a graph , denoted by , is the minimum number of internally edge disjoint -trees for any and . The general…

math.CO2023

On the sizes of generalized cactus graphs

Licheng Zhang, Yuanqiu Huang

A cactus is a connected graph in which each edge is contained in at most one cycle. We generalize the concept of cactus graphs, i.e., a -cactus is a connected graph in which eac…

math.CO2022★ 1 cited

The generalized 3-connectivity of burnt pancake graphs and godan graphs

Jing Wang, Zuozheng Zhang, Yuanqiu Huang

The generalized -connectivity of a graph , denoted by , is the minimum number of internally edge disjoint -trees for any and . The general…

math.CO2022

The generalized 3-connectivity of a family regular networks

Jing Wang, Xidao Luan, Yuanqiu Huang

The generalized -connectivity of a graph , denoted by , is the minimum number of internally edge disjoint -trees for any with . The genera…

math.CO2022

On the size of matchings in 1-planar graph with high minimum degree

Yuanqiu Huang, Zhangdong Ouyang, Fengming Dong

A matching of a graph is a set of edges without common end vertex. A graph is called 1-planar if it admits a drawing in the plane such that each edge is crossed at most once. Recen…

math.CO2020

On the sizes of bipartite 1-planar graphs

Yuanqiu Huang, Zhangdong Ouyang, Fengming Dong

A graph is called -planar if it admits a drawing in the plane such that each edge is crossed at most once. Let be a bipartite 1-planar graph with () vertices and…

math.CO2020

New upper bounds for the crossing numbers of crossing-critical graphs

Zongpeng Ding, Zhangdong Ouyang, Yuanqiu Huang +1

A graph is {-crossing-critical} if , but for each edge , where is the crossing number of . It is known that for any $k…

math.CO2012

Lower bound on the number of the maximum genus embedding of

Guanghua Dong, Han Ren, Ning Wang +1

In this paper, we provide an method to obtain the lower bound on the number of the distinct maximum genus embedding of the complete bipartite graph Kn;n (n be an odd number), which…

math.CO2012

Joint-tree model and the maximum genus of graphs

Guanghua Dong, Ning Wang, Yuanqiu Huang +1

The vertex v of a graph G is called a 1-critical-vertex for the maximum genus of the graph, or for simplicity called 1-critical-vertex, if G-v is a connected graph and °M(G - v) =…

math.CO2012

Vertex Splitting and Upper Embeddable Graphs

Guanghua Dong, Ning Wang, Yuanqiu Huang +2

The weak minor G of a graph G is the graph obtained from G by a sequence of edge-contraction operations on G. A weak-minor-closed family of upper embeddable graphs is a set G of up…