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内蒙古自治区呼和浩特市赛罕区大学西街235号 邮编: 010021
作者机构:Comp. Sci. Dep. Univ. Wisconsin 1210 W. Dayton St. Madison WI 53706 USA
出 版 物:《INFORMATION PROCESSING LETTERS》 (信息处理快报)
年 卷 期:1989年第32卷第4期
页 面:167-170页
核心收录:
学科分类:08[工学] 0812[工学-计算机科学与技术(可授工学、理学学位)]
主 题:Hamiltonian circuit intersection graph undirected path graph directed path graph NP-completeness Hamiltonian path
摘 要:Bertossi and Bonuccelli (1986) proved that the Hamiltonian Circuit Problem is NP-complete even when the inputs are restricted to the special class of undirected path graphs. The corresponding problem on directed path graphs was left as an open problem. We use a characterization of directed path graphs due to Monma and Wei (1986) to prove that the Hamiltonian Circuit Problem and the Hamiltonian Path Problem are NP-complete on directed path graphs.