Extension of Paul Erdős graph on hypergroups

Shamsadini, S.; Aghabozorgi, H.; Jafarpour, M.; Hoskova-Mayerova, S.

doi:10.2478/auom-2025-0033

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 |Ǝy ∈ 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.

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Extension of Paul Erdős graph on hypergroups

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