activity
20192026
most citedMatching Book Embedding of the Cartesian Product of a Complete Graph and a Cycle

9 citations · 22 across the 13 of their papers we have counts for

collaborators

13 papers

math.CO2026

The matching book embedding of the -sum of two graphs

Zeling Shao, Ruxing Sun, Zhiguo Li

The -sum is a new graph operation defined by combining four graph transformation operations with the Cartesian product operation. A matching book embedding of a graph is a b…

math.CO2026

The degeneracy and Alon-Tarsi number under -sum operations

Zhiguo Li, Zhentao Jiao, Zeling Shao

The Alon-Tarsi number of a graph is the smallest such that there exists an orientation of with maximum outdegree satisfying that the number of eve…

math.CO2025

The Alon-Tarsi Number of Cartesian product and Corona product of Hypercube Graph and Special Graphs

Zhiguo Li, Yujia Gai, Zeling Shao

The \emph{Alon-Tarsi number} of a graph is the smallest so that there exists an orientation of with max outdegree satisfying the number of even Eulerian subgr…

math.CO2024

A note on the Nearly Dispersability of Odd Toroidal Grids

Xiaoxiang Yu, Zeling Shao, Zhiguo Li

The \emph{matching book thickness} of is the minimum integer such that an -page matching book embedding exists. A graph is called \emph{dispersable} if $mbt…

math.CO2024

On the dispersability of graph bundles over cycles

Zeling Shao, Xiaoxiang Yu, Zhiguo Li

In this paper, the dispersability of the Cartesian graph bundle over two cycles is completely solved. We show the Cartesian graph bundle over two cycles is dispersable if i…

math.CO2023★ 1 cited

On the classification and dispersability of circulant graphs with two jump lengths

Xiaoxiang Yu, Zeling Shao, Zhiguo Li

In this paper, we give the classification of circulant graphs with and completely solve the dispersability of circulant graphs $C(\mathbb{Z}_{n},\{1,…

math.CO2021★ 3 cited

The Alon-Tarsi number of Halin graphs

Zhiguo Li, Qing Ye, Zeling Shao

The Alon-Tarsi number of a graph is the smallest for which there is an orientation of with max outdegree such that the number of Eulerian subgraphs of wit…

math.CO2021★ 2 cited

Bipartite cubic planar graphs are dispersable

Zeling Shao, Yanqing Liu, Zhiguo Li

The book embedding of a graph is to place the vertices of on the spine and draw the edges to the pages so that the edges in the same page do not cross with each other. A bo…

math.CO2020★ 3 cited

Matching Book Thickness of Halin Graphs

Zeling Shao, Huiru Geng, Zhiguo Li

The \emph{matching book embedding} of a graph is to arrange its vertices on the spine, and draw its edges into the pages so that the edges on every page do not intersect each o…

math.CO2020★ 2 cited

The Matching Book Embedding of Biconnected Outerplanar Graphs

Zeling Shao, Yanqing Liu, Zhiguo Li

The - of a graph is an embedding of the graph in an -book with the vertices of on the spine and each edge to the pages without crossing each othe…

math.CO2020

Embedding the Complete Expansion Graph in Books

Zeling Shao, Chunjin Ren, Zhiguo Li

A book embedding of a graph consists of an embedding of its vertices along the spine of a book, and an embedding of its edges on the pages such that edges embedded on the same page…

math.CO2020★ 9 cited

Matching Book Embedding of the Cartesian Product of a Complete Graph and a Cycle

Zeling Shao, Yanqing Liu, Zhiguo Li

The of a graph is to place the vertices of on the spine and draw the edges to the pages so that the edges in the same page do not cross with each other.…

math.CO2019★ 2 cited

The Alon-Tarsi Number of A Toroidal Grid

Zhiguo Li, Zeling Shao, Fedor Petrov +1

The Alon-Tarsi number of a graph is the smallest for which there is an orientation of with max indegree such that the number of even and odd circulati…