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All Journal Electronic Journal of Graph Theory and Applications (EJGTA)
Li, Zhiguo
Hebei University of Technology
Electrical & Electronics Engineering

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The matching book embedding under some graph operations Shao, Zeling; Yao, Min; Li, Zhiguo
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 14, No 1 (2026): Electronic Journal of Graph Theory and Applications
Publisher : GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/ejgta.2026.14.1.13

Abstract

The matching book embedding of a graph G is an embedding of G with the vertices on the spine, and each edge within a single page so that the edges on each page do not intersect and the degree of vertices on each page is at most one. The matching book thickness of G is the minimum number of pages in a matching book embedding of G, denoted by mbt(G). In this paper, the exact matching book thickness of the corona product between a dispersible or nearly dispersible graph and a simple graph is determined. Additionally, the dispersibility of the edge product of a cycle and a simple graph is obtained. Finally the matching book thickness of the comb product of two dispersible graphs is obtained.
Co-Authors Shao, Zeling Yao, Min