THE PROPERTIES OF FUZZY GRAPHIC MATROIDS

Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads : 37

Volume : 11 , Issue : 2
DOI: https://doi.org/10.56827/JRSMMS.2024.1102.13
Author :
R. Buvaneswari (Department of Mathematics, Sri Krishna Arts and Science College, Coimbatore - 641008, Tamil Nadu, INDIA)
S. Saranya (Department of Mathematics, Sri Krishna Arts and Science College, Coimbatore - 641008, Tamil Nadu, INDIA)

Abstract

The minor and duality of a fuzzy graphic matroid are defined and also explored their properties. The charcteristics of fuzzy graphic matroid like augumentation, base exchange property, uniformity, submodularity, weak absorption, strong absorption, weak elimination and induced circuit properties are discussed with examples.

Keywords and Phrases

Fuzzy matroid, fuzzy graphic matroid, bases, circuit, minor, dual, induced circuit.

A.M.S. subject classification

05C50, 05C72, 05C70.

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