Structural Analysis of Ladder Corona Graphs via Intuitionistic Fuzzy Cube Difference Labeling

Authors

  • Jackson S P.G and Research, Department of Mathematics, V.O. Chidambaram College, Thoothukudi–628008, India.. Author
  • Abirami M Research Department of Mathematics,Affiliated to Manonmaniam Sundaranar University, Tirunelveli–627012, India Author

DOI:

https://doi.org/10.71426/jasm.v2.i2.pp120-125

Keywords:

Graph Theory, Intuitionistic Fuzzy Cube Difference Labeling (IFCDL), Intuitionistic Fuzzy Graphs, Ladder Corona Graphs, Corona Product

Abstract

Intuitionistic fuzzy graph labeling is a useful approach for describing uncertainty based on membership (MS) and non-membership (NMS) values. This work studies Intuitionistic Fuzzy Cube Difference Labeling (IFCDL) on ladder-based graphs and corona products. Explicit labeling techniques are designed for ladder graphs, open ladder graphs, slanting ladder graphs, circular ladder graphs, and Mobius ladder graphs. It is demonstrated that these graphs permit intuitionistic fuzzy cube difference graphs (IFCDGs) by assigning distinct MS and NMS values within the range of [0, 1]. The suggested framework is adaptable to different graph products and complicated network models, with potential applications in decision-making, communication networks, and uncertainty-based systems.

References

[1] Atanassov KT. Intuitionistic fuzzy sets. Fuzzy Sets and Systems. 1986;20(1):87–96. Available from: https://doi.org/10.1016/S0165-0114(86)80034-3

[2] Atanassov KT. Intuitionistic fuzzy sets. In: Intuitionistic Fuzzy Sets: Theory and Applications. Heidelberg: Physica-Verlag; 1999. p. 1–137. Available from: https://doi.org/10.1007/978-3-7908-1870-3_1

[3] Akram M, Alshehri NO. Intuitionistic fuzzy cycles and intuitionistic fuzzy trees. The Scientific World Journal. 2014;2014:305836. Available from: https://doi.org/10.1155/2014/305836

[4] Akram M, Davvaz B. Strong intuitionistic fuzzy graphs. Filomat. 2012;26(1):177–196. Available from: https://doi.org/10.2298/FIL1201177A

[5] Akram M, Dudek WA. Intuitionistic fuzzy hypergraphs with applications. Information Sciences. 2013;218:182–193. Available from: https://doi.org/10.1016/j.ins.2012.06.024

[6] Rajeswari RK, Geetha R. Eccentricity of ABC index for some graphs. In: Research in Multidisciplinary Subjects. Vol. 12. Hill Publications; 2023. p. 78–81. Available from: https://www.researchgate.net/profile/Kmajini-Bella/publication/376580780_ROLE_OF_ARTIFICIAL_INTELLIGENCE_TECHNOLOGY_AND_ITS_IMPACT_ON_TRANSFORMATION_OF_HUMAN_RESOURCES_MANAGEMENT/links/657dd2a932bc453821f007e2/ROLE-OF-ARTIFICIAL-INTELLIGENCE-TECHNOLOGY-AND-ITS-IMPACT-ON-TRANSFORMATION-OF-HUMAN-RESOURCES-MANAGEMENT.pdf#page=88

[7] Sahoo S, Pal M. Different types of products on intuitionistic fuzzy graphs. Pacific Science Review A: Natural Science and Engineering. 2015;17(3):87–96. Available from: https://doi.org/10.1016/j.psra.2015.12.007

[8] Sahoo S, Pal M. Product of intuitionistic fuzzy graphs and degree. Journal of Intelligent & Fuzzy Systems. 2017;32(1):1059–1067. Available from: https://doi.org/10.3233/JIFS-16348

[9] Sahoo S, Pal M. Intuitionistic fuzzy labeling graphs. TWMS Journal of Applied and Engineering Mathematics. 2018;8(2):466–476. Available from: https://dergipark.org.tr/en/pub/twmsjaem/article/761100

[10] Akram M, Dar JM, Naz S. Certain graphs under Pythagorean fuzzy environment. Complex & Intelligent Systems. 2019;5(2):127–144. Available from: https://doi.org/10.1007/s40747-018-0089-5

[11] Gallian JA. A dynamic survey of graph labeling. The Electronic Journal of Combinatorics. 2022;DS6. Available from: https://doi.org/10.37236/11668

[12] Jeyanthi P, Sudha A. Total edge irregularity strength of disjoint union of wheel graphs. Electronic Notes in Discrete Mathematics. 2015;48:175–182. Available from: https://doi.org/10.1016/j.endm.2015.05.026

[13] Bača M, Muthugurupackiam K, Kathiresan KM, Ramya S. Modular irregularity strength of graphs. Electronic Journal of Graph Theory and Applications. 2020;8(2):435–443. Available from: https://doi.org/10.5614/ejgta.2020.8.2.19

[14] Sudha A, Jeyanthi P, Kavitha C, Kalaivani K, Dabke D. Fuzzy graph theory and neuromorphic graph models for uncertain mathematical systems. Journal of Applied Sciences and Modelling. 2026;2(1):83–100. Available from: https://doi.org/10.71426/jasm.v2.i1.pp83-100

[15] Bača M, Imran M, Semaničová-Feňovčíková A. Irregularity and modular irregularity strength of wheels. Mathematics. 2021;9(21):2710. Available from: https://doi.org/10.3390/math9212710

Downloads

Published

2026-08-28

How to Cite

[1]
Jackson S and A. M, “Structural Analysis of Ladder Corona Graphs via Intuitionistic Fuzzy Cube Difference Labeling”, Journal of Applied Sciences and Modelling, vol. 2, no. 2, pp. 120–125, Aug. 2026, doi: 10.71426/jasm.v2.i2.pp120-125.