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Published in:

Volume 4 Issue 11
November-2017
eISSN: 2349-5162

UGC and ISSN approved 7.95 impact factor UGC Approved Journal no 63975

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Published Paper ID:
JETIR1711182


Registration ID:
303658

Page Number

1130-1132

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Title

EXPLICIT CONSTRUCTIONS FOR FAMILIES OF EXPANDERS

Authors

Abstract

Expander graphs are higly connected sparse finite graphs, which play an important role in Pure (number theory, group theory, geometry, and many more) and Applied Mathematics and also very important in computer science as basic building blocks for network constructions, error connecting codes, algorithms and more. While k-regular random graphs are, in fact, very good expanders, many applications require explicit, deterministic constructions of expanders. In this paper our aim is to give explicit constructions for families of expanders.

Key Words

explicit construction, family of expanders, adjacency matrix, eigenvalues, Ramanujan graph.

Cite This Article

"EXPLICIT CONSTRUCTIONS FOR FAMILIES OF EXPANDERS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.4, Issue 11, page no.1130-1132, November-2017, Available :http://www.jetir.org/papers/JETIR1711182.pdf

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2349-5162 | Impact Factor 7.95 Calculate by Google Scholar

An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 7.95 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator

Cite This Article

"EXPLICIT CONSTRUCTIONS FOR FAMILIES OF EXPANDERS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.4, Issue 11, page no. pp1130-1132, November-2017, Available at : http://www.jetir.org/papers/JETIR1711182.pdf

Publication Details

Published Paper ID: JETIR1711182
Registration ID: 303658
Published In: Volume 4 | Issue 11 | Year November-2017
DOI (Digital Object Identifier):
Page No: 1130-1132
Country: Banka, Bihar, India .
Area: Mathematics
ISSN Number: 2349-5162
Publisher: IJ Publication


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