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Digraph constructions based on inverter subsets in EQ-algebras | ||
| Journal of Hyperstructures | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 27 خرداد 1405 اصل مقاله (1.69 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2026.18584.1145 | ||
| نویسندگان | ||
| Mohammad Hamidi* 1؛ Marzeihe Rahmati1؛ Sirus Jahanpanah2 | ||
| 1Payame Noor University | ||
| 2Payame Noor Unoversity, Iran, Tehran | ||
| چکیده | ||
| This paper introduces the notions of (meet, extended, symmetrical) EQ-algebras and valued indicator subsets within this framework. We present a new class of EQ-algebras and prove that every finite chain and countable set can be structured as an extended EQ-algebra. A primary contribution is establishing a connection between the class of digraphs and the class of EQ-algebras. To this end, we define the concepts of inverter digraphs and valued indicator digraphs based on EQ-algebras, which are founded on the corresponding notions of inverter subsets and valued indicator subsets. We investigate the relationship between these two types of digraphs, providing conditions under which they are isomorphic and showing that valued indicator digraphs are spanning subgraphs of inverter digraphs under certain constraints. Finally, leveraging this correspondence, we demonstrate a method to extract EQ-algebras from (weakly) strong digraphs. | ||
| کلیدواژهها | ||
| (Meet؛ extended؛ symmetrical) EQ-algebra؛ inverter digraph؛ valued indicator digraph؛ graph-EQ-algebra | ||
| مراجع | ||
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آمار تعداد مشاهده مقاله: 26 تعداد دریافت فایل اصل مقاله: 18 |
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