S. Kozerenko

activity

20212026

most citedA note on the triameter of graphs

2 citations · 2 across the 5 of their papers we have counts for

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3 papers · 1 filter

math.CO2026

There is no $8$ -regular $K_{3}$ -irregular graph

Artem Hak, Sergiy Kozerenko, Andrii Serdiuk

A graph is $K_{3}$ -irregular if its vertices belong to pairwise distinct numbers of triangles. We prove that no $8$ -regular $K_{3}$ -irregular graph exists, settling the last unresolved…

math.CO2026

Transformation Semigroup Perspective on the Magma Monoid

Yakiv Baiduk, Sergiy Kozerenko

The monoid of all binary operations was first introduced by H. S. Kim and J. Neggers in 2008. Since then, different aspects and applications of this monoid were studied, while seve…

math.CO2026

Regular $K_{3}$ -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…

There is no 8-regular K3​-irregular graph

Transformation Semigroup Perspective on the Magma Monoid

Regular K3​-regular graphs

There is no $8$ -regular $K_{3}$ -irregular graph

Regular $K_{3}$ -regular graphs