论文标题

匹配的书籍嵌入双连接的外平面图

The Matching Book Embedding of Biconnected Outerplanar Graphs

论文作者

Shao, Zeling, Liu, Yanqing, Li, Zhiguo

论文摘要

$ n $ - $ book〜嵌入图$ g $的$嵌入图$ g $中的$ n $ - 书本中,脊柱上的顶点为$ g $,而每个边缘都不相互交叉。如果每页最多最多的顶点$ g $,则$ n $书本的嵌入为$匹配$。 $匹配〜书籍〜厚度$ g $ g $是最小的$ n $,因此$ g $可以嵌入$ n $ - 书籍中。在本文中,确定了双连接外平面图的匹配书厚度。

The $n$-$book ~embedding$ of a graph $G$ is an embedding of the graph $G$ in an $n$-book with the vertices of $G$ on the spine and each edge to the pages without crossing each other. If the degree of vertices of $G$ at most one in each page, the $n$-book embedding is $matching$. The $matching~ book~ thickness$ of graph $G$ is the smallest $n$ so that $G$ can be matching embedded in an $n$-book. In this paper, the matching book thickness of the biconnected outerplanar graphs is determined.

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