TY - GEN

T1 - Cycle embedding in alternating group graphs with faulty elements

AU - Tsai, Ping Ying

AU - Lin, Yu Tzu

N1 - Publisher Copyright:
© Springer Science+Business Media Dordrecht 2014.

PY - 2014

Y1 - 2014

N2 - 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. Cycle embedding is an important issue in evaluating the efficiency of interconnection networks. In this paper, we show that an n-dimensional alternating group graph AGn has the following results, where F is the set of faulty vertices and/or faulty edges in AGn : (1) For n ≥ 4, AGn-F is edge 4-pancyclic if |F| ≤ n − 4; and (2) For n ≥ 3, AGn-F is vertex-pancyclic if |F| ≤ n − 3. All the results are optimal with respect to the number of faulty elements tolerated, and they are improvements over the cycle embedding properties of alternating group graphs proposed previously in several articles.

AB - 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. Cycle embedding is an important issue in evaluating the efficiency of interconnection networks. In this paper, we show that an n-dimensional alternating group graph AGn has the following results, where F is the set of faulty vertices and/or faulty edges in AGn : (1) For n ≥ 4, AGn-F is edge 4-pancyclic if |F| ≤ n − 4; and (2) For n ≥ 3, AGn-F is vertex-pancyclic if |F| ≤ n − 3. All the results are optimal with respect to the number of faulty elements tolerated, and they are improvements over the cycle embedding properties of alternating group graphs proposed previously in several articles.

KW - Alternating group graph

KW - Cayley graph

KW - Cycle embedding

KW - Fault-tolerant

KW - Interconnection network

KW - Pancyclicity

UR - http://www.scopus.com/inward/record.url?scp=84958042849&partnerID=8YFLogxK

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U2 - 10.1007/978-94-007-7262-5_145

DO - 10.1007/978-94-007-7262-5_145

M3 - Conference contribution

AN - SCOPUS:84958042849

SN - 9789400772618

T3 - Lecture Notes in Electrical Engineering

SP - 1281

BT - Advanced Technologies, Embedded and Multimedia for Human-Centric Computing, HumanCom and EMC 2013

PB - Springer Verlag

T2 - Advanced Technologies, Embedded and Multimedia for Human-Centric Computing, HumanCom and EMC 2013

Y2 - 23 August 2013 through 25 August 2013

ER -