Vol. 22 No. 4 (2023): Mapana - Journal of Sciences
Research Articles

Eulerian and Unicursal Soft Graphs

PDF
  • Jinta Jose,
  • Bobin George,
  • Rajesh K. Thumbakara
Jinta Jose
Viswajyothi College of Engineering and Technology Vazhakulam
Bobin George
Pavanatma College Murickassery
Rajesh K. Thumbakara
Mar Athanasius College (Autonomous) Kothamangalam, India
DOI: https://doi.org/10.12723/mjs.67.7

Published 2024-03-19

Copyright (c) 2024

Creative Commons License

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Abstract

In 1999, Molodtsov proposed the use of soft sets as a means of managing imprecision and uncertainty in decision making. This methodology provides a means of modelling vague and uncertain information. R. K. Thumbakara and B. George introduced the notion of soft graphs, which offer a parameterized perspective on graphs. This study presents the concept of Eulerian soft graphs and explores some of their characteristics.

 

PDF

References

  1. References
  2. M. Akram, S. Nawaz, Operations on Soft Graphs, Fuzzy Inf. Eng. (2015) 7, 423-449, URL: https://www.scientificbulletin.upb.ro/rev_ docs_arhiva/fullcc2_842873.pdf.
  3. M. Akram, S. Nawaz, Certain Types of Soft Graphs, U.P.B. Sci. Bull., Series A, Vol. 78, iss. 4 (2016), 67- 82, URL:https://doi.org/10.1016/j.fiae.2015.11.003.
  4. B. George, J. Jose R.K. Thumbakara, An Introduction to Soft Hypergraphs, Journal of Prime Research in Mathematics, Vol. 18, iss. 1(2022), 43-59, URL: http://jprm.sms.edu.pk/an-introduction-to-soft-hypergraphs/.
  5. B. George, R.K. Thumbakara, J. Jose, Soft Semigraphs and Some of Their Operations, New Mathematics and Natural Computations (2022), URL: https://doi.org/10.1142/S1793005723500126.
  6. J. Clark, D. A Holton, A first look at graph theory, Allied Publishers Ltd., 1995, URL: https: //inoerofik.files.wordpress.com/2014/11/firstlook_graphtheory.pdf.
  7. P.K. Maji, A.R. Roy, R. Biswas, Fuzzy Soft Sets, The Journal of Fuzzy Math,9(2001),589-602.
  8. P.K. Maji, A.R. Roy, R. Biswas, An Application of Soft Sets in a Decision Making Problem, Computers and Mathematics with Application, 44 (2002), 1077-1083, URL: https://doi.org/10.1016/S0898- 1221(02)00216-X.
  9. D. Molodtsov, Soft Set Theory-First Results, Computers & Mathematics with Applications, 37 (1999) 19- 31, URL: https://doi.org/10.1016/S0898-1221(99)00056-5.
  10. N. Sarala, K. Manju, On Soft Bi-partite Graph, International Journal of Basic and Applied Research, Vol. 9 (2019), 249-256.
  11. J. D.Thenge, B.S. Reddy, R.S. Jain, Connected Soft Graph, New Mathematics and Natural Computation, Vol.16, No.2 (2020) 305-318.
  12. J. D. Thenge, B.S. Reddy, R.S. Jain, Contribution to Soft Graph and Soft Tree, New Mathematics and Natural Computation (2020).
  13. J. D. Thenge, B.S. Reddy, R.S. Jain, Adjacency and Incidence Matrix of a Soft Graph, Communications in Mathematics and Applications, Vol. 11, No.1 (2020), 23-30, URL: https://doi.org/10.26713/cma.v11i1.1281.
  14. R. K. Thumbakara, B. George, Soft Graphs, Gen. Math. Notes, Vol. 21, No. 2 (2014) , 7586,URL:https://www.emis.de/journals/GMN/yahoo_site_admin/assets/docs/6_GMN-4802-V21N2. 16902935.pdf.
  15. R.K. Thumbakara, B. George, J. Jose, Subdivision Graph, Power and Line Graph of a Soft Graph, Communications in Mathematics and Applications (2022), Vol. 13, No. 1 (2022) ,75-85, URL: https://doi.org/10.26713/cma.v13i1.1669.
  16. S. Venkatraman, R. Helen, On domination in soft graph of some special graphs, Malaya Journal of Matematik, Vol. S, No. 1 (2019), 527-531, URL: https://malayajournal.org/download.php?id=709.