Edge-Fault-Tolerant Pancyclicity of Alternating Group Graphs

被引：6

作者：

Tsai, Ping-Ying ^{[1
]}

Chen, Gen-Huey ^{[1
]}

Fu, Jung-Sheng ^{[2
]}

机构：

[1] Natl Taiwan Univ, Dept Comp Sci & Informat Engn, Taipei 10764, Taiwan

[2] Natl United Univ, Dept Elect Engn, Miaoli, Taiwan

来源：

NETWORKS | 2009年 / 53卷 / 03期

关键词：

alternating group graph; Cayley graph; cycle embedding; fault tolerance; pancycle; INTERCONNECTION NETWORKS; HAMILTONIAN-CONNECTIVITY; AUGMENTED CUBES; STAR GRAPHS; N-CUBES; PANCONNECTIVITY; CYCLES;

D O I：

10.1002/net.20291

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

The alternating group graph, which belongs to the class of Cayley graphs, is one of the most versatile interconnection networks for parallel and distributed computing. Previously, the alternating group graph was shown to be pancyclic, i.e., containing cycles of all possible lengths. In this article, we further show that the alternating group graph remains pancyclic, even if there are up to 2n - 6 edge faults, where n >= 3 is the dimension of the alternating group graph. The result is optimal with respect to the number of edge faults tolerated. (C) 2009 Wiley Periodicals, Inc. NETWORKS, Vol. 53(3), 307-313 2009

引用

页码：307 / 313

页数：7

共 50 条

[41] Edge-fault-tolerant hamiltonicity of locally twisted cubes under conditional edge faults
Hsieh, Sun-Yuan
Wu, Chang-Yu
JOURNAL OF COMBINATORIAL OPTIMIZATION, 2010, 19 (01) : 16 - 30
[42] Edge-fault-tolerant hamiltonicity of locally twisted cubes under conditional edge faults
Sun-Yuan Hsieh
Chang-Yu Wu
Journal of Combinatorial Optimization, 2010, 19 : 16 - 30
[43] Fault-Tolerant Edge-Pancyclicity of Locally Twisted Cubes LTQn
Xu, Xirong
Zhang, Huifeng
Zhao Lingqi
Zhe Zhang
Yang, Yuansheng
UTILITAS MATHEMATICA, 2020, 115 : 143 - 158
[44] Edge-fault-tolerant strong Menger edge connectivity on the class of hypercube-like networks
Li, Pingshan
Xu, Min
DISCRETE APPLIED MATHEMATICS, 2019, 259 : 145 - 152
[45] An optimal result on fault-tolerant cycle-embedding in alternating group graphs
Xue, Zhan-jun
Liu, San-yang
INFORMATION PROCESSING LETTERS, 2009, 109 (21-22) : 1197 - 1201
[46] Panconnectivity, fault-tolerant Hamiltonicity and Hamiltonian-connectivity in alternating group graphs
Chang, JM
Yang, JS
NETWORKS, 2004, 44 (04) : 302 - 310
[47] Edge-pancyclicity of coupled graphs
Lih, KW
Song, ZM
Wang, WF
Zhang, KM
DISCRETE APPLIED MATHEMATICS, 2002, 119 (03) : 259 - 264
[48] A note on an optimal result on fault-tolerant cycle-embedding in alternating group graphs
Tsai, Ping-Ying
INFORMATION PROCESSING LETTERS, 2011, 111 (08) : 375 - 378
[49] Fault-tolerant pancyclicity of the Mobius cubes
Yang, MC
Li, TK
Tan, JJM
Hsu, LH
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2005, E88A (01) : 346 - 352
[50] The Edge-Fault-Tolerant Bipancyclicity of the Even k-ary n-cube
Fang, Jywe-Fei
COMPUTER JOURNAL, 2011, 54 (02): : 255 - 262

← 1 2 3 4 5 →