Graph ear decompositions and graph embeddings

被引：0

作者：

Chen, J ^{[1
]}

Kanchi, SP

机构：

[1] Texas A&M Univ, Dept Comp Sci, College Stn, TX 77843 USA

[2] Kettering Univ, Dept Sci & Mat, Flint, MI 48504 USA

来源：

SIAM JOURNAL ON DISCRETE MATHEMATICS | 1999年 / 12卷 / 02期

关键词：

graph connectivity; graph embedding; ear decomposition; graph maximum genus; algorithm;

D O I：

10.1137/S0895480196304234

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Ear decomposition of a graph has been extensively studied in relation to graph connectivity. In this paper, a connection of ear decomposition to graph embeddings is exhibited. It is shown that constructing a maximum-paired ear decomposition of a graph and constructing a maximum-genus embedding of the graph are polynomial-time equivalent. Applications of this connection are discussed.

引用

页码：229 / 242

页数：14

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