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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2018, Number 3, Pages 3–13 (Mi basm488)  
Research articles

Properties of generalized semi-ideal-based zero-divisor graph of posets

K. Porselvi, B. Elavarasan

Department of Mathematics, School of Science and Humanities, Karunya University, Coimbatore – 641 114, Tamilnadu, India
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Abstract: In this paper, we study properties of generalized semi-ideal-based zero-divisor graph structure of poset $P$, with respect to minimal elements of $P \setminus I$. We also investigate the interplay between the poset properties of $P$ and the graph theoretic properties of $\widehat{G_I(P)}$.
Keywords and phrases: Posets, semi-ideals, zero-divisor graph, diameter and girth.
Received: 25.03.2015
Revised: 30.03.2017
Document Type: Article
MSC: 05C99, 06B35
Language: English
Citation: K. Porselvi, B. Elavarasan, “Properties of generalized semi-ideal-based zero-divisor graph of posets”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2018, no. 3, 3–13
Citation in format AMSBIB
\Bibitem{PorEla18}
\by K.~Porselvi, B.~Elavarasan
\paper Properties of generalized semi-ideal-based zero-divisor graph of posets
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2018
\issue 3
\pages 3--13
\mathnet{http://mi.mathnet.ru/basm488}
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