Artem Hak

activity

20212026

most citedA note on the triameter of graphs

2 citations · 2 across the 3 of their papers we have counts for

collaborators

4 papers

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

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…

math.CO2021★ 2 cited

A note on the triameter of graphs

Artem Hak, Sergiy Kozerenko, Bogdana Oliynyk

In this note, we give answers to three questions from the paper [A. Das, Triameter of graphs, Discuss. Math. Graph Theory, 41 (2021), 601--616]. Namely, we obtain a tight lower bou…

There is no 8-regular K3​-irregular graph

Regular K3​-regular graphs

Regular K3​-irregular graphs

A note on the triameter of graphs

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

Regular $K_{3}$ -regular graphs

Regular $K_{3}$ -irregular graphs