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Embedding semistrong product of paths and cycles in books. (English) Zbl 1349.05191

Summary: 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 are not crossing. In this paper, we discuss book embedding of semistrong product of paths and cycles, and give upper bounds of the page number of these graphs. Specially, under some conditions, we can determine the exact page number of these graphs.

MSC:

05C38 Paths and cycles
05C60 Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.)
05C76 Graph operations (line graphs, products, etc.)
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