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Research Article

The Minimum Mean Dominating Energy Of Graphs


Author(s): M.V.Chakradhararao , B.Satyanarayana,K.A.Venkatesh
Affiliation: Assistant Professor in Mathematics, School of Engineering, Presidency University, Bangalore
Year of Publication: 2017
Source: International Journal of Computing Algorithm
     
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Citation: M.V.Chakradhararao, B.Satyanarayana,K.A.Venkatesh. "The Minimum Mean Dominating Energy Of Graphs." International Journal of Computing Algorithm 6.1 (2017): 23-26.

Abstract:
The energy of a graph was introduced by I.Gutman [4] and its bound were obtained by .Balakrishnan [9].Subsequently the Minimum Dominating Energy was introduced by [8] R.Rajeshkanna.Then Mean Energy M - energy was introduced by LauraBuggy, Amaliailiuc, KatelynMccall, and Duyguyen [7]. In this paper, we studied the Mean Domination Energy for some standard graphs and obtained its bounds.


Keywords Energy of a graph, dominating energy, mean dominating energy


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@article{The1791422, author = {M.V.Chakradhararao,B.Satyanarayana,K.A.Venkatesh}, title = {The Minimum Mean Dominating Energy Of Graphs}, journal={International Journal of Computing Algorithm}, volume={6}, issue={1}, issn = {2278-2397}, year = {2017}, publisher = {Scholarly Citation Index Analytics-SCIA}

  • [1] Algebraic Graph Theory, 2nd Edition, Norman Biggs,Cambridge University press.
  • [2] D.Cvetkovi’c, I.Gutman Eds., Applications of Graph Spectra,Mathematical institution, Belgrade
  • [3] D. Cvetkovic, I. Gutman Eds., Selected Topics on Applications of Graphs
  • [4] I. Gutman, The energy of a graph, Ber. Math-Statist. Sekt. Forschungsz.Graz,
  • [5] I. Gutman, X. Li, J. Zhang, Graph Energy Ed-s:M. DehmerF.Em-mert,Streib.Analysis of Complex Networks, From Biology to Linguistics, Wiley-VCH, Weinheim
  • [6] I. Gutman, The energy of a graph: Old and new resultsEd-s:A.Bet-ten,A.Kohnert,R.Laue,A. Wassermann,Algebraic Combinatorics and Applications, Springer, Berlin
  • [7] LauraBuggy, Amaliailiuc, KatelynMccall, Duyguyen,The Energy of graphs and Matrices Lecture notes.
  • [8] R.RajeshKanna, B.N.Dharmendra,G.Sridgara, International Journal of Pure and Applied Mathematics, Vol 5, No
  • [9] R.Balakrishnan, The Energy of a graph, Linear Algebra and its Applications, 3872004, 287-295.
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