TY - JOUR TT - Embedding Hierarchical Fibonacci Cubes In Faulty Hierarchic Cubic Networks AU - Karcı, Ali PY - 2016 DA - December Y2 - 2016 JF - Computer Science JO - JCS PB - Ali KARCI WT - DergiPark SN - 2548-1304 SP - 14 EP - 19 VL - 1 IS - 1 KW - Hierarchical Cubic Network - HCN(n KW - n) KW - Hierarchical Fibonacci Cube – HFC(n) N2 - Hierarchical Fibonacci Cubes HFC(n+2) can beobtained from the Hierarchic Cubic Network HCN(n,n) by removing certain nodesand edges. This problem is very simple when no faulty node exists in anHCN(n,n), however, it becomes very sophisticated if some faulty nodes appear inan HCN(n,n). In this paper, we tried to distinguish HFC(n+2) in faultyHCN(n,n), and it can also be considered as a fault-tolerant embedding inHCN(n,n). Then, we shall show how to dierctly embed a HFC(n+2) into a faultyHCN(n,n) and prove that if no more than two clusters which contain faultynodes, then HFC(n+2) can be directly embedded. Another case is that if thereare more than two clusters which contain faulty nodes, then the labels offaulty nodes must be (Ii,K) and (Ii,L) for each cluster. CR - [1] K. Chose, and K. R. Desai, “Hierarchical Cubic Networks”, IEEE Transactions on Parallel and Distributed Systems, vol. 6, pp.427-435, 1995. CR - [2] W.-J. Hsu, “Fibonacci Cubes – A New Interconnection Topology”, IEEE Transactions on Parallel and Distributed Systems, vol. 4, pp. 3-12, 1993. CR - [3] W.K. Chiang and R.J.Chen, “Topological properties of hierarchical cubic networks, J. of systems architecture, v.42, pp:289-307, 1996. CR - [4] A. Karci, “New Interconnection Netwroks: Fibonacci Cube and Extended Fibonacci Cubes Based Hierarchic Networks”, IEEE: The 15th International Conference on Information Networking (ICOIN-15), Jan. 31 - Feb. 2, 2001, Beppu Convention(B-Con) Plaza, Beppu City, Japan. CR - [5] A. Karci, “Recursive Construction of Hierarchical Fibonacci Cubes and Hierarchical Extended Fibonacci Cubes”, IEEE: 2001 International Conference on Parallel and Distributed Systems (ICPADS-2001), June 26-29, 2001, KyongJu city, Korea. CR - [6] S.K. Yun, K.H. Park, “Comments on hierarchical cubic networks”, IEEE trans. On Parallel and Distributed systems, v.9, n.4, pp:410-414, 1998. CR - [7] F.-S. Jiang, S.-J. Horng, and T.-W. Kao, “Embedding of Generalized Fibonacci Cubes in Hypercubes with Faulty Nodes”, IEEE. Trans. on Parallel and Distributed Systems, vol:8, pp: 727-737, 1997. CR - [8] K. Efe, “Embedding Mesh of Trees in the Hypercubes”, J. of Parallel and Distributed Computing, vol:11, pp:222-230, 1991. UR - https://dergipark.org.tr/tr/pub/bbd/issue//307001 L1 - https://dergipark.org.tr/tr/download/article-file/295045 ER -