BOOK EMBEDDING OF TOROIDAL BIPARTITE GRAPHS

被引：4

作者：

Nakamoto, Atsuhiro ^{[1
]}

Ota, Katsuhiro ^{[2
]}

Ozeki, Kenta ^{[3
]}

机构：

[1] Yokohama Natl Univ, Dept Math, Hodogaya Ku, Yokohama, Kanagawa 2408501, Japan

[2] Keio Univ, Dept Math, Kohoku Ku, Yokohama, Kanagawa 223, Japan

[3] Res Org Informat & Syst, Natl Inst Informat, Chiyoda Ku, Tokyo 1018430, Japan

来源：

SIAM JOURNAL ON DISCRETE MATHEMATICS | 2012年 / 26卷 / 02期

关键词：

torus; even embedding; book embedding; quadrangulation; GENUS-G GRAPHS; PLANAR GRAPHS; PAGENUMBER; THICKNESS;

D O I：

10.1137/100794651

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Endo proved that every toroidal graph has a book embedding with at most seven pages. In this paper, we prove that every toroidal bipartite graph has a book embedding with at most five pages. In order to do so, we prove that every bipartite torus quadrangulation Q with n vertices admits two disjoint noncontractible simple closed curves cutting the torus into two annuli so that each of the two annuli contains a spanning connected subgraph of Q with exactly n edges satisfying a certain condition.

引用

页码：661 / 669

页数：9

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