Some results on strongly regular graphs from unions of cyclotomic classes

Cheng Ju Li; Qin Yue; Li Qin Hu

doi:10.1007/s11425-012-4533-5

Some results on strongly regular graphs from unions of cyclotomic classes

Cheng Ju Li, Qin Yue, Li Qin Hu

Nanjing University of Aeronautics and Astronautics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this paper, we construct some families of strongly regular graphs on finite fields by using unions of cyclotomic classes and index 2 Gauss sums. New infinite families of strongly regular graphs are found.

Original language	English
Pages (from-to)	2613-2620
Number of pages	8
Journal	Science China Mathematics
Volume	55
Issue number	12
DOIs	https://doi.org/10.1007/s11425-012-4533-5
State	Published - Dec 2012
Externally published	Yes

Keywords

cycloyomic classes
index 2 Gauss sum
restricted eigenvalues
strongly regular graphs

Access to Document

10.1007/s11425-012-4533-5

Cite this

@article{366686dcc3964f91a3362dc07724d6e1,

title = "Some results on strongly regular graphs from unions of cyclotomic classes",

abstract = "In this paper, we construct some families of strongly regular graphs on finite fields by using unions of cyclotomic classes and index 2 Gauss sums. New infinite families of strongly regular graphs are found.",

keywords = "cycloyomic classes, index 2 Gauss sum, restricted eigenvalues, strongly regular graphs",

author = "Li, \{Cheng Ju\} and Qin Yue and Hu, \{Li Qin\}",

year = "2012",

month = dec,

doi = "10.1007/s11425-012-4533-5",

language = "英语",

volume = "55",

pages = "2613--2620",

journal = "Science China Mathematics",

issn = "1674-7283",

publisher = "Science China Press ",

number = "12",

}

TY - JOUR

T1 - Some results on strongly regular graphs from unions of cyclotomic classes

AU - Li, Cheng Ju

AU - Yue, Qin

AU - Hu, Li Qin

PY - 2012/12

Y1 - 2012/12

N2 - In this paper, we construct some families of strongly regular graphs on finite fields by using unions of cyclotomic classes and index 2 Gauss sums. New infinite families of strongly regular graphs are found.

AB - In this paper, we construct some families of strongly regular graphs on finite fields by using unions of cyclotomic classes and index 2 Gauss sums. New infinite families of strongly regular graphs are found.

KW - cycloyomic classes

KW - index 2 Gauss sum

KW - restricted eigenvalues

KW - strongly regular graphs

UR - https://www.scopus.com/pages/publications/84870822508

U2 - 10.1007/s11425-012-4533-5

DO - 10.1007/s11425-012-4533-5

M3 - 文章

AN - SCOPUS:84870822508

SN - 1674-7283

VL - 55

SP - 2613

EP - 2620

JO - Science China Mathematics

JF - Science China Mathematics

IS - 12

ER -

Some results on strongly regular graphs from unions of cyclotomic classes

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this