Abstract:
The arrangement graph A/sub n,k/ is a generalization of the star graph. There are some results concerning fault Hamiltonicity and fault Hamiltonian connectivity of the ar...Show MoreMetadata
Abstract:
The arrangement graph A/sub n,k/ is a generalization of the star graph. There are some results concerning fault Hamiltonicity and fault Hamiltonian connectivity of the arrangement graph. However, these results are restricted in some particular cases and, thus, are less completed. We improve these results and obtain a stronger and simpler statement. Let n-k/spl ges/2 and F/spl sube/V(A/sub n,k/)/spl cup/E(A/sub n,k/). We prove that A/sub n,k/-F is Hamiltonian if |F|/spl les/k(n-k)-2 and A/sub n,k/-F is Hamiltonian connected if |F|/spl les/k(n-k)-3. These results are optimal.
Published in: IEEE Transactions on Computers ( Volume: 53, Issue: 1, January 2004)
Department of Computer and Information Science, National Chiao Tung University, Hsinchu, Taiwan
Hong-Chun Hsu received the BS degree from the Department of Computer Science and Information Management at Providence University, Taiwan, Republic of China, in 1997, and the MS degree from the Department of Computer and Information Science at National Chiao Tung University, Taiwan, Republic of China, in 1999. He is a PhD student in the Department of Computer and Information Science, National Chiao Tung University, Taiwan,...Show More
Hong-Chun Hsu received the BS degree from the Department of Computer Science and Information Management at Providence University, Taiwan, Republic of China, in 1997, and the MS degree from the Department of Computer and Information Science at National Chiao Tung University, Taiwan, Republic of China, in 1999. He is a PhD student in the Department of Computer and Information Science, National Chiao Tung University, Taiwan,...View more
Department of Computer Science and Information Engineering, Ching Yun Institute of Technology, Chungli, Taiwan
Tseng-Kuei Li received the BS degree in education from National Taiwan Normal University in 1994 and the PhD degree in computer and information science from National Chiao Tung University, Taiwan, in 2002. He is currently an assistant professor in the Department of Computer Science and Information Engineering, Ching Yun Institute of Technology, Taiwan. His research interests include interconnection networks, algorithms, a...Show More
Tseng-Kuei Li received the BS degree in education from National Taiwan Normal University in 1994 and the PhD degree in computer and information science from National Chiao Tung University, Taiwan, in 2002. He is currently an assistant professor in the Department of Computer Science and Information Engineering, Ching Yun Institute of Technology, Taiwan. His research interests include interconnection networks, algorithms, a...View more
Department of Computer and Information Science, National Chiao Tung University, Hsinchu, Taiwan
Jimmy J.M. Tan received the BS and MS degrees in mathematics from National Taiwan University in 1970 and 1973, respectively, and the PhD degree from Carleton University, Ottawa, Canada, in 1981. He has been on the faculty of the Department of Computer and Information Science, National Chiao Tung University, since 1983. His research interests include design and analysis of algorithms, combinatorial optimization, interconne...Show More
Jimmy J.M. Tan received the BS and MS degrees in mathematics from National Taiwan University in 1970 and 1973, respectively, and the PhD degree from Carleton University, Ottawa, Canada, in 1981. He has been on the faculty of the Department of Computer and Information Science, National Chiao Tung University, since 1983. His research interests include design and analysis of algorithms, combinatorial optimization, interconne...View more
Department of Computer and Information Science, National Chiao Tung University, Hsinchu, Taiwan
Lih-Hsing Hsu received the BS degree in mathematics from Chung Yuan Christian University, Taiwan, Republic of China, in 1975, and the PhD degree in mathematics from the State University of New York at Stony Brook in 1981. He is currently a professor in the Department of Computer and Information Science, National Chiao Tung University, Taiwan, Republic of China. His research Interests include interconnection networks, algo...Show More
Lih-Hsing Hsu received the BS degree in mathematics from Chung Yuan Christian University, Taiwan, Republic of China, in 1975, and the PhD degree in mathematics from the State University of New York at Stony Brook in 1981. He is currently a professor in the Department of Computer and Information Science, National Chiao Tung University, Taiwan, Republic of China. His research Interests include interconnection networks, algo...View more
Contents Department of Computer and Information Science, National Chiao Tung University, Hsinchu, Taiwan
Hong-Chun Hsu received the BS degree from the Department of Computer Science and Information Management at Providence University, Taiwan, Republic of China, in 1997, and the MS degree from the Department of Computer and Information Science at National Chiao Tung University, Taiwan, Republic of China, in 1999. He is a PhD student in the Department of Computer and Information Science, National Chiao Tung University, Taiwan, Republic of China, now. His research interests include interconnection networks, algorithm, and graph theory.
Hong-Chun Hsu received the BS degree from the Department of Computer Science and Information Management at Providence University, Taiwan, Republic of China, in 1997, and the MS degree from the Department of Computer and Information Science at National Chiao Tung University, Taiwan, Republic of China, in 1999. He is a PhD student in the Department of Computer and Information Science, National Chiao Tung University, Taiwan, Republic of China, now. His research interests include interconnection networks, algorithm, and graph theory.View more
Department of Computer Science and Information Engineering, Ching Yun Institute of Technology, Chungli, Taiwan
Tseng-Kuei Li received the BS degree in education from National Taiwan Normal University in 1994 and the PhD degree in computer and information science from National Chiao Tung University, Taiwan, in 2002. He is currently an assistant professor in the Department of Computer Science and Information Engineering, Ching Yun Institute of Technology, Taiwan. His research interests include interconnection networks, algorithms, and graph theory. He is a member of the IEEE.
Tseng-Kuei Li received the BS degree in education from National Taiwan Normal University in 1994 and the PhD degree in computer and information science from National Chiao Tung University, Taiwan, in 2002. He is currently an assistant professor in the Department of Computer Science and Information Engineering, Ching Yun Institute of Technology, Taiwan. His research interests include interconnection networks, algorithms, and graph theory. He is a member of the IEEE.View more
Department of Computer and Information Science, National Chiao Tung University, Hsinchu, Taiwan
Jimmy J.M. Tan received the BS and MS degrees in mathematics from National Taiwan University in 1970 and 1973, respectively, and the PhD degree from Carleton University, Ottawa, Canada, in 1981. He has been on the faculty of the Department of Computer and Information Science, National Chiao Tung University, since 1983. His research interests include design and analysis of algorithms, combinatorial optimization, interconnection networks, and graph theory.
Jimmy J.M. Tan received the BS and MS degrees in mathematics from National Taiwan University in 1970 and 1973, respectively, and the PhD degree from Carleton University, Ottawa, Canada, in 1981. He has been on the faculty of the Department of Computer and Information Science, National Chiao Tung University, since 1983. His research interests include design and analysis of algorithms, combinatorial optimization, interconnection networks, and graph theory.View more
Department of Computer and Information Science, National Chiao Tung University, Hsinchu, Taiwan
Lih-Hsing Hsu received the BS degree in mathematics from Chung Yuan Christian University, Taiwan, Republic of China, in 1975, and the PhD degree in mathematics from the State University of New York at Stony Brook in 1981. He is currently a professor in the Department of Computer and Information Science, National Chiao Tung University, Taiwan, Republic of China. His research Interests include interconnection networks, algorithm, graph theory, and VLSI layout.
Lih-Hsing Hsu received the BS degree in mathematics from Chung Yuan Christian University, Taiwan, Republic of China, in 1975, and the PhD degree in mathematics from the State University of New York at Stony Brook in 1981. He is currently a professor in the Department of Computer and Information Science, National Chiao Tung University, Taiwan, Republic of China. His research Interests include interconnection networks, algorithm, graph theory, and VLSI layout.View more
