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

Jinxing Yang; Ligong Wang

doi:10.1080/03081087.2023.2230346

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

Jinxing Yang, Ligong Wang

School of Mathematics and Statistics

Northwestern Polytechnical University Xian

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

Abstract

Let (Formula presented.) 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 (Formula presented.) (respectively, the complement of (Formula presented.) and the line graph of (Formula presented.)) to be Ramanujan.

Original language	English
Pages (from-to)	2037-2053
Number of pages	17
Journal	Linear and Multilinear Algebra
Volume	72
Issue number	12
DOIs	https://doi.org/10.1080/03081087.2023.2230346
State	Published - 2024

Keywords

05C25
05C50
Ramanujan
spectrum
Unitary one-matching bi-Cayley graph

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10.1080/03081087.2023.2230346

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abstract = "Let (Formula presented.) 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 (Formula presented.) (respectively, the complement of (Formula presented.) and the line graph of (Formula presented.)) to be Ramanujan.",

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AB - Let (Formula presented.) 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 (Formula presented.) (respectively, the complement of (Formula presented.) and the line graph of (Formula presented.)) to be Ramanujan.

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KW - Ramanujan

KW - spectrum

KW - Unitary one-matching bi-Cayley graph

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ER -

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

Abstract

Keywords

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