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.
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页码：661 / 669
页数：9
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