Ovoids of generalized quadrangles of order (q,q2−q) and Delsarte cocliques in related strongly regular graphs

Ovoids of generalized quadrangles of order (q,q2−q) and Delsarte cocliques in related strongly... We investigate strongly regular graphs for which Hoffman's ratio bound and Cvetcović's inertia bound are equal. This means that ve−=m−(e−−k), where v is the number of vertices, k is the regularity, e− is the smallest eigenvalue, and m− is the multiplicity of e−. We show that Delsarte cocliques do not exist for all Taylor's 2‐graphs and for point graphs of generalized quadrangles of order (q,q2−q) for infinitely many q. For cases where equality may hold, we show that for nearly all parameter sets, there are at most two Delsarte cocliques. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Combinatorial Designs Wiley

Ovoids of generalized quadrangles of order (q,q2−q) and Delsarte cocliques in related strongly regular graphs

Loading next page...
 
/lp/wiley/ovoids-of-generalized-quadrangles-of-order-q-q2-q-and-delsarte-ltwUzwczLw
Publisher
Wiley Subscription Services, Inc., A Wiley Company
Copyright
Copyright © 2018 Wiley Periodicals, Inc.
ISSN
1063-8539
eISSN
1520-6610
D.O.I.
10.1002/jcd.21598
Publisher site
See Article on Publisher Site

Abstract

We investigate strongly regular graphs for which Hoffman's ratio bound and Cvetcović's inertia bound are equal. This means that ve−=m−(e−−k), where v is the number of vertices, k is the regularity, e− is the smallest eigenvalue, and m− is the multiplicity of e−. We show that Delsarte cocliques do not exist for all Taylor's 2‐graphs and for point graphs of generalized quadrangles of order (q,q2−q) for infinitely many q. For cases where equality may hold, we show that for nearly all parameter sets, there are at most two Delsarte cocliques.

Journal

Journal of Combinatorial DesignsWiley

Published: Jan 1, 2018

Keywords: ; ; ; ; ; ; ; ;

References

You’re reading a free preview. Subscribe to read the entire article.


DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Search

Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly

Organize

Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.

Access

Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

DeepDyve

Freelancer

DeepDyve

Pro

Price

FREE

$49/month
$360/year

Save searches from
Google Scholar,
PubMed

Create lists to
organize your research

Export lists, citations

Read DeepDyve articles

Abstract access only

Unlimited access to over
18 million full-text articles

Print

20 pages / month

PDF Discount

20% off