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Discrete Mathematics & Theoretical Computer Science
Article . 2010 . Peer-reviewed
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Discrete Mathematics & Theoretical Computer Science
Article
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Episciences
Article . 2010
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Conference object . 2010
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https://dx.doi.org/10.46298/dm...
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60/102 Null Boundary Cellular Automata based expander graphs

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 01 Jan 2010 English Publisher:Centre pour la Communication Scientifique Directe (CCSD)Journal:Discrete Mathematics & Theoretical Computer Science, volume DMTCS Proceedings vol. AL,... (eissn: 1365-8050, Copyright policy )
Authors: S.-J. Cho; U.-S. Choi; H.-D. Kim; Y.-H. Hwang; J.-G. Kim;

doi: 10.46298/dmtcs.2760

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.

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Keywords

[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO], [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM], Expander graphs, Spectral gaps, [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], [NLIN.NLIN-CG] Nonlinear Sciences [physics]/Cellular Automata and Lattice Gases [nlin.CG], 60/102 NBCA, Eigenvalue., Bipartite graphs

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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Published in a Diamond OA journal