Even-paired Domination with Modified Forgotten, hyper Zagreb Indices Of Graph
Resumo
In this study, we define a new parameter for each vertex, referred to as the Even-paired domination
degree, and denote it by dcoe(v) . Building on Even-paired domination degrees, we propose several
Even-paired domination indices. We also determine the precise values of the Even-paired domination
Forgotten, Refined Forgotten index/ Modified Forgotten invariant, Hyper-Zagreb graph invariant for
certain families of well-known graphs. Additionally, we identify bounds, both lower and upper, for these
indices across various graph structures.
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Referências
Ahmed A., Omran, Ahmed H., Alsinai A., Vishnu Narayan Mishra, Coeven Domination Zagreb Indices Of Graph,
Italin Journal of pure mathematics, (2021).
2. AlDzhabri K. S., Omran A. A., and Al-Harere M. N., DG-domination topology in Digraph, Journal of Prime Research
in Mathematics, 17(2), 93-100, (2021).
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5. Alsini A., Alwardi A., and Soner N. D., TOPOLOGICAL PROPERTIES OF GRAPHENE USING ψk polynomial,
Proceedings of the Jangjeon Mathematical Society, 24(3), 375-388, (2021).
6. Alsinai A., Alwardi A., Soner N. D., On reciprocals leap function of graph, Journal of Discrete Mathematical Sciences
and Cryptography, 24(2), 307-324, (2021).
7. Alsinai A., Alwardi A., Ahmed H., Soner N. D., Leap Zagreb Indices For The Central Graph Of Graph, Journal of
Prime Research in Mathematics, 12(2), 100-110, (2021).
8. Hanan Ahmed A. M., Alwardi A., and Salestina M. R., On domination topological indices of graphs, International
Journal of Analysis and Applications, 19(1), 47-64, (2020).
9. Ahmed A. H., Alwardi A., Salestina M. R., and Soner N. D., Forgotten domination, hyper domination andmodified
forgotten domination indices of graphs, Journal of Discrete Mathematical Sciences and Cryptography, 24(2), 353-368,
(2021).
10. Gutman I., Trinajstic N., Graph theory and molecular orbitals. Total f-electron energy of alternant hydrocarbons, Chem.
Phys. Lett., 17, 535-538, (1972).
11. Gutman I., Ruˇscic B., Trinajstic N., Wilcox C. F., Graph theory and molecular orbitals. XII. Acyclic polyenes, J. Chem.
Phys., 62, 3399-3405, (1975).
12. Gutman I., MiloVanoVic E., and MiloVanoVic I., Beyond the Zagreb indices, AKCE, Int. J. Graph Combin., (2018).
13. Kahat S. S., Omran A. A., and Al-Harere M. N., Fuzzy equality co-neighborhood domination of graphs, The International
Journal of Nonlinear Analysis and Applications (IJNAA), 12(2),2008-6822, (2021).
14. Jabor A. A., and Omran A. A., Topological domination in graph theory, In AIP Conference Proceedings, 2334, 1,
(2021).
15. Omran A. A., and Ibrahim T. A., Fuzzy Even-paired domination of strong fuzzy graphs, Int. J.
16. Shalaan M. M., Omran A. A., Even-paired Domination in Graph, International Journal of Control and Automation,
13(3), 330-334, (2020).
17. Yousif H.J. and Omran A. A., Inverse 2- Anti Fuzzy Domination in Anti fuzzy graphs, IOP Publishing Journal of
Physics: Conference Series, 1818, 012072, (2021).
18. Raju S., Puttaswamy, Nayaka S..R. , ABC, GA and AG Even-paired Domination Indices of Graph,International Journal
of Mathematics And its Applications,1(1), 75-84,(2023).
Italin Journal of pure mathematics, (2021).
2. AlDzhabri K. S., Omran A. A., and Al-Harere M. N., DG-domination topology in Digraph, Journal of Prime Research
in Mathematics, 17(2), 93-100, (2021).
3. Azari M., Iranmanesh A., Harary Index of Some Nano-structures, MATCH Commun. MAath. Comput. Chem., 71,
373-382, (2014).
4. Al-Fozan T., Manuel P., Rajasingh I., Sundara Rajan R., Computing Szeged Index of Certain Nanosheets Using Par
tition Technique, MATCH Commun. Math. Comput. Chem., 72, 339-353, (2014).
5. Alsini A., Alwardi A., and Soner N. D., TOPOLOGICAL PROPERTIES OF GRAPHENE USING ψk polynomial,
Proceedings of the Jangjeon Mathematical Society, 24(3), 375-388, (2021).
6. Alsinai A., Alwardi A., Soner N. D., On reciprocals leap function of graph, Journal of Discrete Mathematical Sciences
and Cryptography, 24(2), 307-324, (2021).
7. Alsinai A., Alwardi A., Ahmed H., Soner N. D., Leap Zagreb Indices For The Central Graph Of Graph, Journal of
Prime Research in Mathematics, 12(2), 100-110, (2021).
8. Hanan Ahmed A. M., Alwardi A., and Salestina M. R., On domination topological indices of graphs, International
Journal of Analysis and Applications, 19(1), 47-64, (2020).
9. Ahmed A. H., Alwardi A., Salestina M. R., and Soner N. D., Forgotten domination, hyper domination andmodified
forgotten domination indices of graphs, Journal of Discrete Mathematical Sciences and Cryptography, 24(2), 353-368,
(2021).
10. Gutman I., Trinajstic N., Graph theory and molecular orbitals. Total f-electron energy of alternant hydrocarbons, Chem.
Phys. Lett., 17, 535-538, (1972).
11. Gutman I., Ruˇscic B., Trinajstic N., Wilcox C. F., Graph theory and molecular orbitals. XII. Acyclic polyenes, J. Chem.
Phys., 62, 3399-3405, (1975).
12. Gutman I., MiloVanoVic E., and MiloVanoVic I., Beyond the Zagreb indices, AKCE, Int. J. Graph Combin., (2018).
13. Kahat S. S., Omran A. A., and Al-Harere M. N., Fuzzy equality co-neighborhood domination of graphs, The International
Journal of Nonlinear Analysis and Applications (IJNAA), 12(2),2008-6822, (2021).
14. Jabor A. A., and Omran A. A., Topological domination in graph theory, In AIP Conference Proceedings, 2334, 1,
(2021).
15. Omran A. A., and Ibrahim T. A., Fuzzy Even-paired domination of strong fuzzy graphs, Int. J.
16. Shalaan M. M., Omran A. A., Even-paired Domination in Graph, International Journal of Control and Automation,
13(3), 330-334, (2020).
17. Yousif H.J. and Omran A. A., Inverse 2- Anti Fuzzy Domination in Anti fuzzy graphs, IOP Publishing Journal of
Physics: Conference Series, 1818, 012072, (2021).
18. Raju S., Puttaswamy, Nayaka S..R. , ABC, GA and AG Even-paired Domination Indices of Graph,International Journal
of Mathematics And its Applications,1(1), 75-84,(2023).
Publicado
2026-02-28
Seção
Special Issue: International Conf. on Recent Trends in Appl. and Comput. Math.
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