PATH CENTER OF A FUZZY GRAPH BASED ON $\mu$-DISTANCE

Jis Mary Jose; T. K. Sheeja; Prakash G Narasımha Shenoı

PATH CENTER OF A FUZZY GRAPH BASED ON $\mu$-DISTANCE

Abstract

Graph theory has put forward a mathematical foundation for modelling and fine tuning communication and transportation networks. Centers and path centers serve as effective tools for optimizing traffic flow and efficiently allocating resources. The present article examines the concepts of eccentricity, center and path center of a fuzzy graph based on $\mu$-distance. The major contribution of this article is an algorithm to find the path center and center of trees in fuzzy context. Many characteristics of center and path center of fuzzy graphs are explored and illustrated. Furthermore, eccentricities of adjacent nodes in a fuzzy graph and eccentricities of end nodes of effective arcs and strongly $\mu$-related nodes are investigated.

Keywords

References

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[4] Cockayne, E. J., Hedetniemi, S. M. and Hedetniemi, S. T., (1981), Linear algorithms for finding the Jordan center and path center of a tree, Transportation Science, INFORMS, 15(2), pp. 98-114.
[5] Ma, J., Shen, L. and Li, L., (2024), An investigation on fuzzy optimal cut nodes and fuzzy optimal cut edges with their application, Ain Shams Engineering Journal, 15 (9), 192921.
[6] Linda, J. P. and Sunitha, M. S., (2014), Fuzzy detour g-centre in fuzzy graphs, Annals of Fuzzy Mathematics and Informatics, 7 (2), pp. 1-11.
[7] Mathew, S., Mordeson, J. N. and Malik, D. S., (2018), Fuzzy graph theory, Studies in Fuzziness and Soft Computing, 363, Springer.
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Details

Primary Language

English

Subjects

Combinatorics and Discrete Mathematics (Excl. Physical Combinatorics)

Journal Section

Research Article

Authors

Jis Mary Jose This is me
0009-0009-0055-682X
India

T. K. Sheeja ^* This is me
0000-0002-6638-7688
India

Prakash G Narasımha Shenoı
0000-0002-6364-8686
India

Publication Date

May 4, 2026

Submission Date

March 23, 2025

Acceptance Date

September 24, 2025

Published in Issue

Year 2026 Volume: 16 Number: 5

IZ

https://izlik.org/JA97DF65PE

Cite

RIS / Bibtex

APA

Jose, J. M., Sheeja, T. K., & G Narasımha Shenoı, P. (2026). PATH CENTER OF A FUZZY GRAPH BASED ON $\mu$-DISTANCE. TWMS Journal of Applied and Engineering Mathematics, 16(5), 595-610. https://izlik.org/JA97DF65PE

AMA

1.Jose JM, Sheeja TK, G Narasımha Shenoı P. PATH CENTER OF A FUZZY GRAPH BASED ON $\mu$-DISTANCE. JAEM. 2026;16(5):595-610. https://izlik.org/JA97DF65PE

Chicago

Jose, Jis Mary, T. K. Sheeja, and Prakash G Narasımha Shenoı. 2026. “PATH CENTER OF A FUZZY GRAPH BASED ON $\mu$-DISTANCE”. TWMS Journal of Applied and Engineering Mathematics 16 (5): 595-610. https://izlik.org/JA97DF65PE.

EndNote

Jose JM, Sheeja TK, G Narasımha Shenoı P (May 1, 2026) PATH CENTER OF A FUZZY GRAPH BASED ON $\mu$-DISTANCE. TWMS Journal of Applied and Engineering Mathematics 16 5 595–610.

IEEE

[1]J. M. Jose, T. K. Sheeja, and P. G Narasımha Shenoı, “PATH CENTER OF A FUZZY GRAPH BASED ON $\mu$-DISTANCE”, JAEM, vol. 16, no. 5, pp. 595–610, May 2026, [Online]. Available: https://izlik.org/JA97DF65PE

ISNAD

Jose, Jis Mary - Sheeja, T. K. - G Narasımha Shenoı, Prakash. “PATH CENTER OF A FUZZY GRAPH BASED ON $\mu$-DISTANCE”. TWMS Journal of Applied and Engineering Mathematics 16/5 (May 1, 2026): 595-610. https://izlik.org/JA97DF65PE.

JAMA

1.Jose JM, Sheeja TK, G Narasımha Shenoı P. PATH CENTER OF A FUZZY GRAPH BASED ON $\mu$-DISTANCE. JAEM. 2026;16:595–610.

MLA

Jose, Jis Mary, et al. “PATH CENTER OF A FUZZY GRAPH BASED ON $\mu$-DISTANCE”. TWMS Journal of Applied and Engineering Mathematics, vol. 16, no. 5, May 2026, pp. 595-10, https://izlik.org/JA97DF65PE.

Vancouver

1.Jis Mary Jose, T. K. Sheeja, Prakash G Narasımha Shenoı. PATH CENTER OF A FUZZY GRAPH BASED ON $\mu$-DISTANCE. JAEM [Internet]. 2026 May 1;16(5):595-610. Available from: https://izlik.org/JA97DF65PE