Year: 2025
Type: article
Abstract: This paper introduces ultra non-commutative graphs derived from ultra non-commutative hypergroups. Vertices represent ultra non -commutative elements of the hypergroup U, defined as A U = {x ∈ U | Ǝ y ∈ U, y ○ x ∩ x ○ y = ∅}. An edge connects vertices x and y if and only if y ○ x ∩ x ○ y = ∅. We investigate properties of the associated graph Γ( U ), including connectivity, Hamiltonian conditions, and planarity.
Institutions: Vali Asr University of Rafsanjan, University of Defence
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4417420646