On the Page Number of Triple-Loop Networks with Even Cardinality

Bin Zhao 1, Laihuan Chen1, Yuepeng Zhang2, Yingzhi Tian1, Jixiang Meng1
1College of Mathematics and System Science, Xinjiang University, Urumqi 830046, China
2Department of Basic, Handan Polytechnic College, Handan 056001, China

Abstract

A book-embedding of a graph \(G\) consists of placing the vertices of \(G\) on a spine and assigning edges of the graph to pages so that edges assigned to the same page without crossing. In this paper,we propose schemes to embed the connected triple-loop networks with even cardinality in books, then we give upper bounds of page number of some multi-loop networks.