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Minimum Equitable Dominating Harary Energy of a Graph
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The purpose of this paper is to introduce the concept of minimum eq- uitable dominating Harary energy HEED(G) of a graph. We also compute the minimum equitable dominating Harary energy HEED(G) of some fam- ilies of graphs. We establish bounds for minimum equitable dominating Harary energy. Open problems are also given for further research.
Abstract
The purpose of this paper is to introduce the concept of minimum eq- uitable dominating Harary energy HEED(G) of a graph. We also compute the minimum equitable dominating Harary energy HEED(G) of some fam- ilies of graphs. We establish bounds for minimum equitable dominating Harary energy. Open problems are also given for further research.
참고문헌 (21)
- C. Adiga, "The minimum covering en-ergy of a graph", Kragujevac J. Sci., 34, pp.39~56 (2012)
- C. Adiga, "Bounds on the largest minimum degree eigenvalues of graphs", Int. Math. Forum, 5(37), pp.1823~1831 (2010)
- R. Balakrishnan, "Energy of a Graph", Proceedings of the KMA National Seminar on Graph Theory and Fuzzy Mathematics, pp.28~39 (2003)
- R. B. Bapat, "Graphs and Matrices" (2011), Hindustan Book Agency
- R. B. Bapat, "Energy of a graph is never an odd integer", Bull. Kerala Math. Assoc, 1, pp.129~132 (2004)
- F. R. K. Chung, "Spectral graph theory", CBMS Regional Conference Series in Mathematics, (92) (1997)
- C. A. Coulson, "On the calculation of the energy in unsaturated hydrocarbons molecules", Proc. Cambridge. Phil. Soc, 36, pp.201~203 (1940)
- D. M. Cvetkovic, "Spectra of Graphs-Theory and Appli-cations" (1980), Academic Press
- M. Fiedler, "Additive compound matrices and an inequality for eigenvalues of symmetric stochastic matrices", Czech. Math. J., 24(99), pp.392~402 (1974)
- I. Gutman, "The energy of a graph", Ber. Math. Stat. Sekt. Forchungsz. Graz, 103, pp.1~22 (1978)
- I. Gutman, "Hyperenergetic molecular graphs", J. Serb. Chem., 64, pp.199~205 (1999)
- I. Gutman, "Combinatorics and applications", pp.196~211 (2001), Springer
- B. J. McClelland, "Properties of the latent roots of a matrix: The estimation of pi-electron energies", J. Chem. Phys, 54, pp.640~643 (1971)
- V. Nikiforov, "Graphs and matrices with maximal energy", J. Math. Anal. Appl., 327, pp.735~738 (2007)
- S. Pirzada, "Energy of a graph is never the square root of an odd integer", Applicable Analysis and Discrete Mathematics, 2, pp.118~121 (2008)
- M. R. Rajesh Kanna, "Minimum dominat-ing energy of a graph", International Journal of Pure and Applied Mathemat-ics, 85(4), pp.707~718 (2013)
- H. S. Ramane, "Distance equienergetic graphs", MATCH Commun. Math. Comput. Chem., 60, pp.473~484 (2008)
- H. S. Ramane, "Spectra and energies of iterated line graphs of regular graphs", Applied Mathematical Letters, 18, pp.679~682 (2005)
- E. Sampathkumar, "Proceedings of the workshop on graph theory applied to chemistry", pp.23~26 (2010)
- D. Stevanovic, "The distance spectrum and energy of the composition of regular graphs", Appl. Math. Lett., 22, pp.1136~1140 (2009)
- H. B. Walikar, "Energy of some cluster graphs", Kragu-jevac Journal of Science, 23, pp.51~62 (2001)
관련 논문AI추천
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