On the inclusion ideal graph of a poset

• Date: 2019
• Main Authors: Jahanbakhsh, N., Nikandish, R., Nikmehr, M. J.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2019
• Subjects: poset; inclusion ideal graph; diameter; girth; connectivity; 06A07; 05C25
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/261
• Journal Title: Algebra and Discrete Mathematics

Let \((P, \leq)\) be an atomic partially ordered set (poset, briefly) with a minimum element \(0\) and \(\mathcal{I}(P)\) the set of nontrivial ideals of \( P \). The inclusion ideal graph of \(P\), denoted by \(\Omega(P)\), is an undirected and simple graph with the vertex set \(\mathcal{I}(P)\) an...