combinatorial enumeration 1ideals 1idempotent elements 1magma monoid 1regular elements 1transformation semigroup 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.CO2026
Transformation Semigroup Perspective on the Magma Monoid
Yakiv Baiduk, Sergiy Kozerenko
The paper studies the monoid of all binary operations (the magma monoid) using a transformation semigroup viewpoint, fully describing its principal left and right ideals, idempoten…
math.CO2026
Regular -regular graphs
Artem Hak, Sergiy Kozerenko, Denys Lohvynov +1
We study graphs that are simultaneously regular with respect to the ordinary vertex degree and regular with respect to the triangle degree, that is, the number of triangles contain…
math.CO2025
Regular -irregular graphs
Artem Hak, Sergiy Kozerenko, Andrii Serdiuk
We address the problem proposed by Chartrand, Erdős and Oellermann (1988) about the existence of regular -irregular graphs. We first establish bounds on the -degrees of s…