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60/102 Null Boundary Cellular Automata based expander graphs
Abstract : Expander graphs are useful in the design and analysis of communication networks. Mukhopadhyay et al. introduced a method to generate a family of expander graphs based on nongroup two predecessor single attractor Cellular Automata(CA). In this paper we propose a method to generate a family of expander graphs based on 60/102 Null Boundary CA(NBCA) which is a group CA. The spectral gap generated by our method is maximal. Moreover, the spectral gap is larger than that of Mukhopadhyay et al.
Cited literature [12 references]
https://hal.inria.fr/hal-01185496
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Submitted on : Thursday, August 20, 2015 - 2:16:44 PM
Last modification on : Tuesday, March 7, 2017 - 3:06:58 PM
Long-term archiving on: : Wednesday, April 26, 2017 - 10:03:26 AM
Contributor : Coordination Episciences Iam Connect in order to contact the contributor
Submitted on : Thursday, August 20, 2015 - 2:16:44 PM
Last modification on : Tuesday, March 7, 2017 - 3:06:58 PM
Long-term archiving on: : Wednesday, April 26, 2017 - 10:03:26 AM
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