Conditional Edge fault-Tolerant Hamiltonian-Connected of Locally Twisted Cubes LTQn

被引:0
作者
Xu, Xirong [1 ]
Su, Hang [1 ]
Zhang, Sijia [1 ]
Wang, Fan [1 ]
机构
[1] Dalian Univ Technol, Sch Comp Sci & Technol, Dalian 116024, Peoples R China
来源
2016 INTERNATIONAL CONFERENCE ON NETWORK AND INFORMATION SYSTEMS FOR COMPUTERS (ICNISC) | 2016年
关键词
Locally twisted cubes; Edge fault-tolerant; Hamiltonian connected; PATHS; PANCYCLICITY; PANCONNECTIVITY; GRAPHS;
D O I
10.1109/ICNISC.2016.35
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The n -dimensional locally twisted cube LTQ(n) is a variant of the hypercube, which possesses some properties superior to the hypercube. This paper investigates the conditional edge fault-tolerant Hamiltonian-connected of LTQ(n), and shows that for any n -dimensional locally twisted cube LTQ(n) (n >= 5) with faulty edges up to 2n - 8 in which each vertex is incident to at least three fault-free edges, there exists a fault-free Hamiltonian path connecting any two vertices.
引用
收藏
页码:145 / 150
页数:6
相关论文
共 25 条
[1]   EMBEDDING GRAPHS ONTO THE SUPERCUBE [J].
AULETTA, V ;
RESCIGNO, AA ;
SCARANO, V .
IEEE TRANSACTIONS ON COMPUTERS, 1995, 44 (04) :593-597
[2]   Edge disjoint Hamiltonian cycles in k-ary n-cubes and hypercubes [J].
Bae, MM ;
Bose, B .
IEEE TRANSACTIONS ON COMPUTERS, 2003, 52 (10) :1271-1284
[3]   FAULT-TOLERANT EMBEDDING OF COMPLETE BINARY-TREES IN HYPERCUBES [J].
CHAN, MY ;
LEE, SJ .
IEEE TRANSACTIONS ON PARALLEL AND DISTRIBUTED SYSTEMS, 1993, 4 (03) :277-288
[4]   Fault-tolerant cycle-embedding in alternating group graphs [J].
Chang, Jou-Ming ;
Yang, Jinn-Shyong .
APPLIED MATHEMATICS AND COMPUTATION, 2008, 197 (02) :760-767
[5]  
[常青彦 Chang Qingyan], 2006, [中国科学技术大学学报, Journal of University of Science and Technology of China], V36, P607
[6]   Edge-pancyclicity and path-embeddability of bijective connection graphs [J].
Fan, Jianxi ;
Jia, Xiaohua .
INFORMATION SCIENCES, 2008, 178 (02) :340-351
[7]   Optimal embeddings of paths with various lengths in twisted cubes [J].
Fan, Jianxi ;
Jia, Xiaohua ;
Lin, Xiaola .
IEEE TRANSACTIONS ON PARALLEL AND DISTRIBUTED SYSTEMS, 2007, 18 (04) :511-521
[8]   Optimal fault-tolerant embedding of paths in twisted cubes [J].
Fan, Jianxi ;
Lin, Xiaola ;
Pan, Yi ;
Jia, Xiaohua .
JOURNAL OF PARALLEL AND DISTRIBUTED COMPUTING, 2007, 67 (02) :205-214
[9]   Optimal path embedding in crossed cubes [J].
Fan, JX ;
Lin, XL ;
Jia, XH .
IEEE TRANSACTIONS ON PARALLEL AND DISTRIBUTED SYSTEMS, 2005, 16 (12) :1190-1200
[10]   Path Embedding in Faulty Locally Twisted Cubes [J].
Han, Yuejuan ;
Fan, Jianxi ;
Yang, Jiwen ;
Qian, Peide .
2009 2ND IEEE INTERNATIONAL CONFERENCE ON COMPUTER SCIENCE AND INFORMATION TECHNOLOGY, VOL 3, 2009, :214-218