IJAM: Volume 37, No. 5 (2024)

DOI: 10.12732/ijam.v37i5.6

DELVING INTO COMBINED GRAPHS

AND MATRICES IN SOFT SEMIGRAPHS

Bobin George 1, Sijo P. George 2,

Rajesh K. Thumbakara 3, Jinta Jose 4,§

1,2 Department of Mathematics

Pavanatma College Murickassery

Idukki - 685604, INDIA

3 Department of Mathematics

Mar Athanasius College (Autonomous)

Kothamangalam, Ernakulam - 686666, INDIA

4 Department of Science and Humanities

Viswajyothi College of Engineering and Technology

Vazhakulam, Ernakulam - 686670, INDIA

Abstract. Molodtsov pioneered the concept of soft sets, providing a way to classify elements of a universe based on specific parameters, effectively modelling vagueness and uncertainty. Semigraphs, a generalized form of graphs, were introduced by Sampathkumar. The incorporation of soft set theory into semigraphs resulted in the development of soft semigraphs. Due to its proficiency in managing parameterization, the field of soft semigraph theory is rapidly advancing. In this study, we introduce various types of combined graphs and matrices related to soft semigraphs and examine some of their characteristics.

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How to cite this paper?
DOI: 10.12732/ijam.v37i5.6
Source: International Journal of Applied Mathematics
ISSN printed version: 1311-1728
ISSN on-line version: 1314-8060
Year: 2024
Volume: 37
Issue: 5

References

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[3] B. George, R.K. Thumbakara, J. Jose, Soft semigraphs and different types of degrees, graphs and matrices associated with them, Thai Journal of Mathematics, 21, No 4 (2023), 863-886; https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/1551

[4] B. George, J. Jose, R.K. Thumbakara, Connectedness in soft semigraphs, New Mathematics and Natural Computation, 20, No 1 (2024), 157-182; https://doi.org/10.1142/S1793005724500108

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