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Zagreb indices and multiplicative Zagreb indices of subdivision graphs of double graphs

Ismail Naci CANGUL|Aysun YURTTAS|Muge TOGAN
장전수학회 (Jangjeon Mathematical Society)|2016.07|Advanced Studies in Contemporary Mathematics|제26권 제3호|pp. 407-416

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초록

Let G be a null, path, cycle, star, complete or a tadpole graph. In this paper, the …rst and second Zagreb and multiplicative Zagreb indices of subgraphs of the double graphs of G are obtained.

Abstract

Let G be a null, path, cycle, star, complete or a tadpole graph. In this paper, the …rst and second Zagreb and multiplicative Zagreb indices of subgraphs of the double graphs of G are obtained.

참고문헌 (16)

  1. K. Ch. Das, "The mul-tiplicative Zagreb indices of graph operations", Journal of Inequalities and Applications, 90, pp.1~14 (2013)
  2. M. Togan, "All versions of Zagreb indices and coindices of subdivision graphs of certain graph types", ~
  3. M. Togan, "All versions of Zagreb indices and coindices of r-subdivision graphs of certain graph types", ~
  4. P. S. Ranjini, "On the Zagreb indices of the line graphs of the subdivision graphs", Appl. Math. Comput, 218, pp.699~702 (2011)
  5. K. C. Das, "On the …rst Zagreb index and multiplicative Zagreb coindices of graphs", Analele Stiinti…ce ale Universitatii Ovidius Constanta, 23(3) (2015)
  6. I. Gutman, "Graph theory and molecular orbitals. III. Total -electron energy of alternant hydrocarbons", Chem. Phys. Lett, 17, pp.535~538 (1972)
  7. R. Todeschini, "New local vertex invariant and molecular de-scriptors based on functions of the vertex degrees", MATCH, pp.359~372 (2010)
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  9. G. Indulal, "On a Pair of Equienergetic Graphs", MATCH Commun. Math. Comput. Chem, 55, pp.83~90 (2006)
  10. Qinying Huang, "Resistance distances and the Kirchhoff index in double graphs", Journal of Applied Mathematics and Computing, 50(1-2), pp.1~14 (2016), Springer Nature[DOI]
  11. M. Eliasi, "Multiplicative versions of …rst Zagreb index", MATCH, 68, pp.217~230 (2012)
  12. I. Gutman, "The First Zagreb index 30 years after", MATCH Commun. Math. Comput. Chem, 50, pp.83~92 (2004)
  13. B. Horoldagva, "Comparing Zagreb indices for connected graphs", Disc. Appl. Math, 158, pp.1073~1078 (2010)
  14. A. Ili´c, "On comparing Zagreb indices", Discrete Appl. Math., 158(11), pp.681~687 (2010)
  15. M. H. Khalifeh, "The First and second Zagreb indices of some graph operations", Discrete Appl. Math, 157, pp.804~811 (2009)
  16. I. Gutman, "Multiplicative Zagreb indices of trees", Bulletin of Society of Mathematicians Banja Luka, 18, pp.17~23 (2011)

관련 논문AI추천

All versions of Zagreb indices and coindices of subdivision graphs of certain graph typesAysun YURTTAS, Ismail Naci CANGUL, Muge TOGAN장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제1호RELATIONS BETWEEN THE FIRST AND SECOND ZAGREB INDICES OF SUBDIVISION GRAPHSAysun YURTTAS, Ismail Naci CANGUL, Muge TOGAN장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제3호Zagreb indices of graphs with added edgesAysun YURTTAS, Muge TOGAN, Naci CANGUL장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2018 · 제21권 제3호Some topological indices of edge-neighborhood corona of two graphsMalpashree R., Rakshith B. R., Sumithra장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제3호Eccentric harmonic index for the subdivision of some graphsA. M. Naji, B. Sharada, M. I. Sowaity, M. Pavithra장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2020 · 제23권 제2호Bounds for the First Zagreb Eccentricity Index and First Zagreb Degree Eccentricity IndexPadmapriya P, Veena Mathad경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2018 · 제58권 제2호

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