Bound inequalities on minimum covering energy of graphs
DOI :
https://doi.org/10.5269/bspm.75933Résumé
The sum of the absolute values of all Minimum Covering eigenvalues $E_{mc}\mathfrak{(G)}$, of graph $\mathfrak{G}$ represents the Minimum Covering energy of that graph. A few upper and lower constraints on the minimum Covering energy are obtained in this study.
Références
[1] C. Adiga, Abdelmejid Bayad, Ivan Gutman and Shrikanth A S, The Minimum Covering Energy of a Graph, Kragujevac J. Sci.Vol. 4, (8),(2009) 385 - 396.
[2] C. Adiga and Smitha M ,On Maximum degree energy of a Graph, Int. J. Contemp. Math. Sciences,Vol. 4, 34,(2012).
[3] E.Hükel, Quantentheoretische Beiträge zum Benzolproblem I. Die Elektronenkonfiguration des Benzols und verwandter Vebindungen. Z.phys.70 (1931) 204-286
[4] S.S.Dragomir, A survey on cauchy-Bunyakovsky-Schwarz type discreate inequalities, J.Inequal.Pure Appl.Math.4 (2003), no. 3,1-142.
[5] I. Gutman, The energy of a graph, Ber. Math. Stat. Sekt. Forschungsz. Graz, 103(1978), 1-22.
[6] I. Gutman and B.Jhou, Laplacian energy of a Graph, Lin. Algebra Appl,414 (2006), 29-37. The energy of a graph, Ber. Math. Stat. Sekt. Forschungsz. Graz, 103(1978), 1-22.
bibitemhu
[7] G.Indulal,I.Gutman, A.Vijaykumar, On distance energy of Graphs, MATCH Commun. Math.Comput.Chem.60(2008) 355-372.
[8] M R Jooyandeh, D.Kiani, M.Mirzakhah,Incidence energy of Graph, MATCH Commun. Math.Comput.Chem. bf60(2008) 561-572.
[9] Mohammad Reza Oboudi, A new lower bound for the energy of graphs, Lin. Algebra Appl,580 (2019),381-395.
[2] C. Adiga and Smitha M ,On Maximum degree energy of a Graph, Int. J. Contemp. Math. Sciences,Vol. 4, 34,(2012).
[3] E.Hükel, Quantentheoretische Beiträge zum Benzolproblem I. Die Elektronenkonfiguration des Benzols und verwandter Vebindungen. Z.phys.70 (1931) 204-286
[4] S.S.Dragomir, A survey on cauchy-Bunyakovsky-Schwarz type discreate inequalities, J.Inequal.Pure Appl.Math.4 (2003), no. 3,1-142.
[5] I. Gutman, The energy of a graph, Ber. Math. Stat. Sekt. Forschungsz. Graz, 103(1978), 1-22.
[6] I. Gutman and B.Jhou, Laplacian energy of a Graph, Lin. Algebra Appl,414 (2006), 29-37. The energy of a graph, Ber. Math. Stat. Sekt. Forschungsz. Graz, 103(1978), 1-22.
bibitemhu
[7] G.Indulal,I.Gutman, A.Vijaykumar, On distance energy of Graphs, MATCH Commun. Math.Comput.Chem.60(2008) 355-372.
[8] M R Jooyandeh, D.Kiani, M.Mirzakhah,Incidence energy of Graph, MATCH Commun. Math.Comput.Chem. bf60(2008) 561-572.
[9] Mohammad Reza Oboudi, A new lower bound for the energy of graphs, Lin. Algebra Appl,580 (2019),381-395.
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Publié
2025-09-18
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Research Articles
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When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).
Comment citer
Smitha M, Honnegowda C K, Ashawini M P, & C S, S. S. (2025). Bound inequalities on minimum covering energy of graphs. Boletim Da Sociedade Paranaense De Matemática, 43, 1-5. https://doi.org/10.5269/bspm.75933
