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Bounds for the First Zagreb Eccentricity Index and First Zagreb Degree Eccentricity Index

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The first Zagreb eccentricity index E1(G) of a graph G is defined as the sum of squares of the eccentricities of the vertices. In this paper some bounds for the first Zagreb eccentricity index and first Zagreb degree eccentricity index are computed.

Abstract

The first Zagreb eccentricity index E1(G) of a graph G is defined as the sum of squares of the eccentricities of the vertices. In this paper some bounds for the first Zagreb eccentricity index and first Zagreb degree eccentricity index are computed.

참고문헌 (15)

  1. M. Biernacki, "Sur une inegalite entre des integrales definies", Ann. Univ. Mariae Curie-Skodowska. Sect. A, 4, pp.1~4 (1950)
  2. P. Biler, "Problems in Mathematical Analysis" (1990), Marcel Dekker, Inc.
  3. P. S. Bullen, "Means and their inequalities" (1988), Reidel
  4. N. De, "Total eccentricity index of the generalized hier- archical product of graphs", Int. J. Appl. Comput. Math, 1, pp.503~511 (2015)
  5. J. B. Diaz, "Stronger forms of a class of inequalities of G. Polya-G. Szego and L. V. Kantorovich", Bull. Amer. Math. Soc, 69, pp.415~418 (1963)
  6. K. Fathalikhani, "Total eccentricity of some graph operations", Electron. Notes Discrete Math, 45, pp.125~131 (2014)
  7. M. Ghorbani, "A new version of Zagreb indices", Filomat, 26, pp.93~100 (2012)
  8. I. Gutman, "Graph theory and molecular orbitals. Total <TEX>$\pi$<", TEX>- electron energy of alternant hydrocarbons, 1972, pp.17, 535~538
  9. F. Harary, "Graph theory" (1969), Addison-Wesley
  10. I. Z. Milovanovc, "A short note on graph energy", MATCH Commun. Math. Comput. Chem, 72, pp.179~182 (2014)
  11. D. S. Mitrinovic, "Analytic inequalities" (1970), Springer-Verlag
  12. S. Nikolic, "The Zagreb indices 30 years after", Croat Chem. Acta, 76, pp.113~124 (2003)
  13. Padmapriya P., "Zagreb degree eccentricity indices of graphs", Novi Sad J. Math
  14. D. Vukicevic, "Note on the comparison of the first and second normalized Zagreb eccentricity indices", Acta Chim. Slov, 57, pp.524~528 (2010)
  15. H. Van de Waterbeemd, "Glossary of terms used in computational drug design", Pure Appl. Chem, 69, pp.1137~1152 (1997)

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