Journal of Qufu Normal University, Volume. 51, Issue 3, 59(2025)

Nirmala energy under graph operations

LI Shuang and MEI Yinzhen*
Author Affiliations
  • School of Mathematics, North University of China, 030051, Taiyuan, Shanxi, PRC
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    References(13)

    [1] [1] CVETKOVIC D M, DOOB M, GUTMAN I, et al. Recent Results in the Theory of Graph Spectra[M]. North Holland: Elsevier, 1988.

    [2] [2] BONDY J A, MURTY U S R. Graph theory with applications[M]. London: Macmillan, 1976.

    [3] [3] KULLI V R. Nirmala index[J]. International Journal of Mathematics Trends and Technology, 2021, 67(3):8-12.

    [4] [4] KULLI V R, GUTMAN I. On some mathematical properties of Nirmala index[J]. Annals of Pure and Applied Mathematics, 2021, 23(2):93-99.

    [5] [5] GUTMAN I, KULLI V R. Nirmala energy[J]. Open Journal of Discrete Applied Mathematics, 2021, 4(2):11-16.

    [6] [6] YALIN N F. Bounds on Nirmala energy of graphs[J]. Acta Universitatis Sapientiae Informatica, 2022, 14(2):302-315.

    [7] [7] VAIDYA S K, POPAT K M. Energy ofm-splitting andm-shadow graphs[J]. Far East Journal of Mathematical Sciences, 2017, 102(8):1571-1578.

    [8] [8] ZHANG X J, BILAL A, MUNIR M M, et al. Maximum degree and minimum degree spectral radii of some graph operations[J]. Mathematical Biosciences and Engineering, 2022, 19(10):10108-10121.

    [9] [9] BILAL A, MUNIR M M. ABC energies and spectral radii of some graph operations [J]. Frontiers in Physics, 2022, 10:1053038.

    [10] [10] BILAL A, MUNIR M M, QURESHI M I, et al. ISI spectral radii and ISI energies of graph operations [J]. Frontiers in Physics, 2023, 11 :1149006.

    [11] [11] BILAL A, MUNIR M M. SDD spectral radii and SDD energies of graph operations [J]. Theoretical Computer Science, 2024, 1007:114651.

    [12] [12] MUNIR M M, WUSQA U T. Albertson (Alb)spectral radii and Albertson (Alb)energies of graph operation[J]. Frontiers in Chemistry, 2023, 11: 1267291.

    [13] [13] ALIKHANIL S, GHANBARI N. Randienergy of specific graphs[J]. Applied Mathematics and Computation, 2015, 269:722-730.

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    LI Shuang, MEI Yinzhen. Nirmala energy under graph operations[J]. Journal of Qufu Normal University, 2025, 51(3): 59

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    Paper Information

    Received: Dec. 27, 2024

    Accepted: Aug. 25, 2025

    Published Online: Aug. 25, 2025

    The Author Email: MEI Yinzhen (myzmath@nuc.edu.cn)

    DOI:10.3969/j.issn.1001-5337.2025.3.059

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