Matching book thickness of generalized Petersen graphs

<p>The matching book embedding of a graph G is to place its vertices on the spine, and arrange its edges on the pages so that the edges in the same page do not intersect each other and the edges induced subgraphs of each page are 1-regular. The matching book thickness of G is the minimum numbe...

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Bibliographic Details
Main Authors: Zeling Shao, Huiru Geng, Zhiguo Li
Format: Article
Language:English
Published: Indonesian Combinatorial Society (InaCombS); Graph Theory and Applications (GTA) Research Centre; University of Newcastle, Australia; Institut Teknologi Bandung (ITB), Indonesia 2022-03-01
Series:Electronic Journal of Graph Theory and Applications
Subjects:
Online Access:https://www.ejgta.org/index.php/ejgta/article/view/1417
Description
Summary:<p>The matching book embedding of a graph G is to place its vertices on the spine, and arrange its edges on the pages so that the edges in the same page do not intersect each other and the edges induced subgraphs of each page are 1-regular. The matching book thickness of G is the minimum number of pages required for any matching book embedding of G, denoted by mbt(G). In this paper, the matching book thickness of generalized Petersen graphs is determined.</p>
ISSN:2338-2287