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Information Journal Paper

Title

Signless Laplacian eigenvalues of the zero divisor graph associated to finite commutative ring ZpM1 qM2

Pages

  561-574

Abstract

 For a commutative ring R with identity 1 6= 0, let the set Z(R) denote the set of zero-divisors and let Z*(R) = Z(R) \{0} be the set of non-zero zero divisors of R. The zero divisor graph of R, denoted by Г,(R), is a simple graph whose vertex set is Z* (R) and two vertices u,v ,Z*(R) are adjacent if and only if uv = vu = 0. In this article, we _nd the signless Laplacian spectrum of the zero divisor graphs Г, (Zn) for n = pM1 qM2, where p < q are primes and M1, M2 are positive integers.

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    APA: Copy

    Pirzada, S., Rather, Bilal A., Shaban, Rezwan u.l., & CHISHTI, T.A.. (2023). Signless Laplacian eigenvalues of the zero divisor graph associated to finite commutative ring ZpM1 qM2. COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION, 8(3), 561-574. SID. https://sid.ir/paper/1057938/en

    Vancouver: Copy

    Pirzada S., Rather Bilal A., Shaban Rezwan u.l., CHISHTI T.A.. Signless Laplacian eigenvalues of the zero divisor graph associated to finite commutative ring ZpM1 qM2. COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION[Internet]. 2023;8(3):561-574. Available from: https://sid.ir/paper/1057938/en

    IEEE: Copy

    S. Pirzada, Bilal A. Rather, Rezwan u.l. Shaban, and T.A. CHISHTI, “Signless Laplacian eigenvalues of the zero divisor graph associated to finite commutative ring ZpM1 qM2,” COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION, vol. 8, no. 3, pp. 561–574, 2023, [Online]. Available: https://sid.ir/paper/1057938/en

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