2 papers
math.CO2026
A non-existence result for vertex-girth-regular graphs
Jorik Jooken, Denys Lohvynov
A -regular graph of girth is called vertex-girth-regular if every vertex is contained in the same number of cycles of length . For integers and , we denote…
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…