FORBIDDEN MINORS CHARACTERIZATION OF PARTIAL 3-TREES

被引：65
|
作者：
ARNBORG, S [1 ]
PROSKUROWSKI, A [1 ]
CORNEIL, DG [1 ]
机构：
[1] UNIV TORONTO,DEPT COMP SCI,TORONTO M5S 1A4,ONTARIO,CANADA
来源：
DISCRETE MATHEMATICS | 1990年 / 80卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
D O I：
10.1016/0012-365X(90)90292-P
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A k-tree is formed from a k-complete graph by recursively adding a vertex adjacent to all vertices in an existing k-complete subgraph. The many applications of partial k-trees (subgraphs of k-trees) have motivated their study from both the algorithmic and theoretical points of view. In this paper we characterize the class of partial 3-trees by its set of four minimal forbidden minors (H is a minor of G if H can be obtained from G by a finite sequence of edge-extraction and edge-contradiction operations.). © 1990.
引用
收藏
页码：1 / 19
页数：19
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