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On γ−domination Zagreb indices of graphs and some graph operations

M. Ruby Salestina|V. Mathad|H. Ahmed
장전수학회 (Jangjeon Mathematical Society)|2023.04|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제26권 제2호|pp. 211-221|DOI 10.17777/pjms.2023.26.2.009

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On −domination Zagreb indices of graphs and some graph operations

Abstract

On gamma−domination Zagreb indices of graphs and some graph operations

참고문헌 (19)

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  2. H. Ahmed, "Domination topological properties of some chemical structures using 𝜑P -polynomial approach", Eurasian Chemical Communications, 3, pp.210~218 (2021)
  3. H. Ahmed, "Forgotten domination, hyper domina-tion and modified forgotten domination indices of graphs", Journal of Discrete Mathematical Sciences and Cryptography, 24, pp.353~368 (2021)
  4. H. Ahmed, "Domination topological indices and their polynomials of a fire y graph", Journal of Discrete Mathematical Sciences and Cryptography, 24, pp.325~341 (2021)
  5. M. Aouchiche, "On the extremal values of the second largest Q-eigenvalue", Linear Algebra and its Applications, 435, pp.2591~2606 (2011)
  6. A. R. Ashra, "The Zagreb coindices of graph operations", Discrete Appl. Math, 158, pp.1571~1578 (2010)
  7. C. Berge, "Graphs and Hypergraphs" (1973), North-Holland
  8. C. Berge, "Theory of Graphs and its Applications" (1962), Methuen
  9. K. A. Bibi, "Applications of distance - 2 dominating sets of graph in networks", Advances in Computational Sciences and Technology, 9, pp.2801~2810 (2017)
  10. E. J. Cockayne, "Towards a theory of domination in graphs", Networks, 7, pp.247~261 (1977)
  11. J.F. Couturier, "On the number of minimal dominating sets on some graph classes", Theoretica Computer Science, 562, pp.634~642 (2015)
  12. Y. Eunjeong, "Domination value in graph", Contributions to Discrete Mathematics, 2, pp.30~43 (2012)
  13. I. Gutman, "Mathematical concepts in organic chemistry" (1986), Springer
  14. I. Gutman, "Graph theory and molecular orbitals. XII. acyclic polyenes", J. Chem. Phys, 62, pp.3399~3405 (1975)
  15. I. Gutman, "Graph theory and molecular orbitals. total 𝝿-electron energy of alternant hydrocarbons", Chem. Phys. Lett, 17, pp.535~538 (1972)
  16. A. M. Hanan Ahmed, "On domination topological indices of graphs", Int. J. Anal. Appl, 19, pp.47~64 (2021)
  17. F. Jaegar, "Relations du type Nordhaus-Gaddum pour le numbre d'absorption d'un graphe simple", C. R. Acad. Sci. Paris, 274, pp.728~730 (1972)
  18. A. H. Karbasi, "Application of dominating sets in wireless sensor networks", International Journal of Security and its Applications, 7, pp.185~202 (2013)
  19. O. Ore, "Theory of Graphs", Amer. Math. Soc. Colloq. Publ, 38 (1962)

관련 논문AI추천

Entire Zagreb index of vertex and edge F-join of graphsS. Jain, V. Lokesha장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2020 · 제23권 제2호The vertex degree polynomial of some graph operationsAnwar Alward, Hanan Ahmed, Ismail Naci Cangul, Ruby Salestina M.장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2023 · 제26권 제1호All 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 제1호Degree distance index of generalized complements of graphsA. Harshitha, D'Souza Sabitha, G. Bhat Pradeep, H. J. Gowtham장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2023 · 제26권 제1호Zagreb indices and multiplicative Zagreb indices of subdivision graphs of double graphsAysun YURTTAS, Ismail Naci CANGUL, Muge TOGAN장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제3호Lower bounds of signed domination number of a graph손무영, 이재운, Young Soo Kwon대한수학회 · 대한수학회보2004 · 제41권 제1호

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