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Co-identity join graph of lattices | ||
Caspian Journal of Mathematical Sciences | ||
دوره 13، شماره 2 - شماره پیاپی 26، 2024، صفحه 228-245 اصل مقاله (163.23 K) | ||
نوع مقاله: Research Articles | ||
شناسه دیجیتال (DOI): 10.22080/cjms.2024.24996.1645 | ||
نویسنده | ||
Shahabaddin Ebrahimi Atani* | ||
Department of Mathematics, Guilan University, Rasht, Iran | ||
تاریخ دریافت: 16 بهمن 1401، تاریخ پذیرش: 29 شهریور 1403 | ||
چکیده | ||
Let $\pounds$ be a lattice with $1$ and $0$. The co-identity join graph of $\pounds$, denoted by $\mathbb{CG} (\pounds)$, is an undirected simple graph whose vertices are all nontrivial elements (i.e. different from $1$ and $0$) of $\pounds$ and two distinct elements $x$ and $y$ are adjacent if and only if $x \vee y \neq 1$. The basic properties and possible structures of this graph are studied and the interplay between the algebraic properties of $\pounds$ and the graph-theoretic structure of $\mathbb{CG} (\pounds)$ is investigated.\\ | ||
کلیدواژهها | ||
Lattice, Small element؛ , co-identity join graph | ||
آمار تعداد مشاهده مقاله: 60 تعداد دریافت فایل اصل مقاله: 97 |