Ramanujan unitary one-matching bi-Cayley graphs over finite commutative rings

被引：0

作者：

Yang, Jinxing ^{[1
,2
]}

Wang, Ligong ^{[1
,2
]}

机构：

[1] Northwestern Polytech Univ, Sch Math & Stat, Xian 710129, Shaanxi, Peoples R China

[2] Northwestern Polytech Univ, Xian Budapest Joint Res Ctr Combinator, Xian 710129, Shaanxi, Peoples R China

来源：

LINEAR & MULTILINEAR ALGEBRA | 2024年 / 72卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Unitary one-matching bi-Cayley graph; spectrum; Ramanujan; ENERGY;

D O I：

10.1080/03081087.2023.2230346

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G(R) denote a unitary one-matching bi-Cayley graph over a finite commutative ring R. In this paper, we give a necessary and sufficient condition for G(R) (respectively, the complement of G(R) and the line graph of G(R)) to be Ramanujan.

引用

页码：2037 / 2053

页数：17

共 38 条

[1] Energies of unitary one-matching bi-Cayley graphs over finite commutative rings
Liu, Xiaogang
[J]. DISCRETE APPLIED MATHEMATICS, 2019, 259 : 170 - 179
[2] Energies of complements of unitary one-matching bi-Cayley graphs over commutative rings
Yang, Jinxing
Liu, Xiaogang
Wang, Ligong
[J]. LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (20): : 5618 - 5633
[3] One-matching bi-Cayley graphs and homogeneous bi-Cayley graphs over finite cyclic groups
Liu, Xiaogang
Wu, Tingzeng
[J]. LINEAR & MULTILINEAR ALGEBRA, 2023, 71 (01): : 88 - 99
[4] Unitary homogeneous bi-Cayley graphs over finite commutative rings
Liu, Xiaogang
Yan, Chengxin
[J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2020, 19 (09)
[5] On the unitary one matching Bi-Cayley graph over finite rings
Shahini, Fatemeh
Khashyarmanesh, Kazem
[J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2024, 17 (02)
[6] One-matching bi-Cayley graphs over abelian groups
Kovacs, Istvan
Malnic, Aleksander
Marusic, Dragan
Miklavic, Stefko
[J]. EUROPEAN JOURNAL OF COMBINATORICS, 2009, 30 (02) : 602 - 616
[7] Unitary Cayley graphs of matrix rings over finite commutative rings
Rattanakangwanwong, Jitsupat
Meemark, Yotsanan
[J]. FINITE FIELDS AND THEIR APPLICATIONS, 2020, 65
[8] Quadratic unitary Cayley graphs of finite commutative rings
Liu, Xiaogang
Zhou, Sanming
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 479 : 73 - 90
[9] Spectral properties of unitary Cayley graphs of finite commutative rings
Liu, Xiaogang
Zhou, Sanming
[J]. ELECTRONIC JOURNAL OF COMBINATORICS, 2012, 19 (04):
[10] BALANCED UNITARY CAYLEY SIGRAPHS OVER FINITE COMMUTATIVE RINGS
Meemark, Yotsanan
Suntornpoch, Borworn
[J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2014, 13 (05)

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