Book Embeddings of Infinite Sequences of Extended Periodic Regular Graphs
| Autor: | Jullia Titaley, Benny Pinontoan |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | IOP Conference Series: Materials Science and Engineering. 621:012011 |
| ISSN: | 1757-899X 1757-8981 |
| DOI: | 10.1088/1757-899x/621/1/012011 |
| Popis: | A graph is extended periodic if it can be made up by gluing identical pieces together with a graph which is isomorphic to or subgraph of that piece, in a circular fashion. We consider an infinite sequence Hn of extended periodic 4-regular graphs and an infinite sequence Mn of extended periodic 5-regular graphs. A book is a collection of half-planes called pages, all having a common boundary called the spine. A book embedding of a graph G is to put the vertices of G on the spine and each edge of G is contained in one page. The minimum pages needed to embed a graph G into a book is called pagenumber of G. We determine the pagenumbers of Hn and Mn to be three. |
| Databáze: | OpenAIRE |
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