Greedily constructing Hamiltonian paths, Hamiltonian cycles and maximum linear forests

被引:4
|
作者
Tankus, David
Tarsi, Michael
机构
[1] Sami Shamroon Coll Engn, Software Engn Dept, IL-84100 Beer Sheva, Israel
[2] Tel Aviv Univ, Sch Comp Sci, IL-69978 Ramat Aviv, Israel
关键词
Hamiltonian graphs; Greedy algorithm;
D O I
10.1016/j.disc.2006.09.031
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
There are various greedy schemas to construct a maximal path in a given input graph. Associated with each such schema is the family of graphs where it always results a path of maximum length, or a Hamiltonian path/cycle, if there exists one. Considerable amount of work has been carried out, regarding the characterization and recognition problems of such graphs. We present here a systematic listing of previous results of this type and fill up most of the remaining empty entries. (c) 2006 Published by Elsevier B.V.
引用
收藏
页码:1833 / 1843
页数:11
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