Artem Hak

collaborators

2 papers

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…

math.CO2025

Regular $K_{3}$ -irregular graphs

Artem Hak, Sergiy Kozerenko, Andrii Serdiuk

We address the problem proposed by Chartrand, Erdős and Oellermann (1988) about the existence of regular $K_{3}$ -irregular graphs. We first establish bounds on the $K_{3}$ -degrees of s…

Regular K3​-regular graphs

Regular K3​-irregular graphs

Regular $K_{3}$ -regular graphs

Regular $K_{3}$ -irregular graphs