Graphs with three eigenvalues and second largest eigenvalue at most 1

We classify the connected graphs with precisely three distinct eigenvalues and second largest eigenvalue at most 1.

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Main Authors:	Cheng, Xi-Ming, Greaves, Gary Royden Watson, Koolen, Jack H.
Other Authors:	School of Physical and Mathematical Sciences
Format:	Article
Language:	English
Published:	2020
Subjects:	Science::Mathematics Three Distinct Eigenvalues Strongly Regular Graphs
Online Access:	https://hdl.handle.net/10356/144948
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Institution:	Nanyang Technological University
Language:	English

id	sg-ntu-dr.10356-144948
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spelling	sg-ntu-dr.10356-1449482023-02-28T19:50:04Z Graphs with three eigenvalues and second largest eigenvalue at most 1 Cheng, Xi-Ming Greaves, Gary Royden Watson Koolen, Jack H. School of Physical and Mathematical Sciences Science::Mathematics Three Distinct Eigenvalues Strongly Regular Graphs We classify the connected graphs with precisely three distinct eigenvalues and second largest eigenvalue at most 1. Accepted version 2020-12-04T06:29:24Z 2020-12-04T06:29:24Z 2017 Journal Article Cheng, X.-M., Greaves, G. R. W., & Koolen, J. H. (2018). Graphs with three eigenvalues and second largest eigenvalue at most 1. Journal of Combinatorial Theory, Series B, 129, 55-78. doi:10.1016/j.jctb.2017.09.004 0095-8956 https://hdl.handle.net/10356/144948 10.1016/j.jctb.2017.09.004 129 55 78 en Journal of Combinatorial Theory, Series B © 2017 Elsevier Inc. All rights reserved. This paper was published in Journal of Combinatorial Theory, Series B and is made available with permission of Elsevier Inc. application/pdf
institution	Nanyang Technological University
building	NTU Library
continent	Asia
country	Singapore Singapore
content_provider	NTU Library
collection	DR-NTU
language	English
topic	Science::Mathematics Three Distinct Eigenvalues Strongly Regular Graphs
spellingShingle	Science::Mathematics Three Distinct Eigenvalues Strongly Regular Graphs Cheng, Xi-Ming Greaves, Gary Royden Watson Koolen, Jack H. Graphs with three eigenvalues and second largest eigenvalue at most 1
description	We classify the connected graphs with precisely three distinct eigenvalues and second largest eigenvalue at most 1.
author2	School of Physical and Mathematical Sciences
author_facet	School of Physical and Mathematical Sciences Cheng, Xi-Ming Greaves, Gary Royden Watson Koolen, Jack H.
format	Article
author	Cheng, Xi-Ming Greaves, Gary Royden Watson Koolen, Jack H.
author_sort	Cheng, Xi-Ming
title	Graphs with three eigenvalues and second largest eigenvalue at most 1
title_short	Graphs with three eigenvalues and second largest eigenvalue at most 1
title_full	Graphs with three eigenvalues and second largest eigenvalue at most 1
title_fullStr	Graphs with three eigenvalues and second largest eigenvalue at most 1
title_full_unstemmed	Graphs with three eigenvalues and second largest eigenvalue at most 1
title_sort	graphs with three eigenvalues and second largest eigenvalue at most 1
publishDate	2020
url	https://hdl.handle.net/10356/144948
_version_	1759857285533794304

Graphs with three eigenvalues and second largest eigenvalue at most 1

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