Hamiltonian Paths in Some Classes of Grid Graphs

被引：13
|
作者：
Keshavarz-Kohjerdi, Fatemeh [1 ]
Bagheri, Alireza [2 ]
机构：
[1] Islamic Azad Univ, N Tehran Branch, Dept Comp Engn, Tehran, Iran
[2] Amirkabir Univ Technol, Dept Comp Engn & IT, Tehran, Iran
来源：
JOURNAL OF APPLIED MATHEMATICS | 2012年
关键词：
ALGORITHM; TIME;
D O I：
10.1155/2012/475087
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Hamiltonian path problem for general grid graphs is known to be NP-complete. In this paper, we give necessary and sufficient conditions for the existence of Hamiltonian paths in L-alphabet, C-alphabet, F-alphabet, and E-alphabet grid graphs. We also present linear-time algorithms for finding Hamiltonian paths in these graphs.
引用
收藏
页数：17
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