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Some topological indices of certain classes of cycloalkenes

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Let G = (V;E) be a simple connected molecular graph. The degree di of any vertex vi in G is the number of edges incident with vi and the eccentricity ei of vi is the largest distance between vi and any other vertex of G. In this paper, we establish general formulae for some degree based and eccentricity based topological indices of cycloalkenes.

Abstract

Let G = (V;E) be a simple connected molecular graph. The degree di of any vertex vi in G is the number of edges incident with vi and the eccentricity ei of vi is the largest distance between vi and any other vertex of G. In this paper, we establish general formulae for some degree based and eccentricity based topological indices of cycloalkenes.

참고문헌 (12)

  1. Bonchev, D., "Chemical Graph Theory: Introduction and Fundamentals" (1991), Taylor and Francis
  2. Harary, F., "Graph Theory" (1969), Addison Wesley
  3. Ghorbani, M., "A new version of Zagreb indices", Filomat, 26, pp.93~100 (2012)
  4. Gutman, I., "Degree-based topological indices", Croat. Chem. Acta, 86, pp.351~361 (2013)
  5. Gutman, I., "The first Zagreb index 30 years after", MATCH Commun. Math. Comput. Chem., 50, pp.83~92 (2004)
  6. Gutman, I., "Graph theory and molecular orbitals-Total -electron energy of alternant hydrocarbons", Chem. Phys. Lett., 17, pp.535~538 (1972)
  7. Becker, K. B., "Cycloalkenes by intramolecular Wittig reaction", Tetrahedron, 36, pp.1717~1745 (1980)
  8. Nikolic, S., "The Zagreb indices 30 years after", Croat. Chem. Acta, 76, pp.113~124 (2003)
  9. Padmapriya P, "Bounds for the First Zagreb Eccentricity Index and First Zagreb Degree Eccentricity Index", Kyungpook Mathematical Journal, 58(2), pp.221~229 (2018), 경북대학교 자연과학대학 수학과
  10. Padmapriya, P., "Zagreb Degree Eccentricity Indices of Graphs", Novi Sad J. Math
  11. Todeschini, R., "Handbook of Molecular Descriptors" (2000), Wiley VCH
  12. Vukicevic, D., "Note on the comparison of the first and second normalized Zagreb eccentricity indices", Acta Chim. Slov., 57, pp.524~528 (2010)

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