3 citations · 7 across the 34 of their papers we have counts for
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math.CO2023
The kissing number in 48 dimensions for codes with certain forbidden distances is 52 416 000
Peter Boyvalenkov, Danila Cherkashin
We prove that the kissing number in 48 dimensions among antipodal spherical codes with certain forbidden inner products is 52\,416\,000. Constructions of attaining codes as kissing…
math.CO2023
On stability of weighted spanning tree degree enumerators
Danila Cherkashin, Pavel Prozorov
Our previous paper shows that the (vertex) spanning tree degree enumerator polynomial of a connected graph is a real stable polynomial (id est is non-zero if all variables have…
math.CO2023
On small non-uniform hypergraphs without property B
Danila Cherkashin
For a given hypergraph consider the sum of over . Consider the class of hypergraphs with the smallest edge of size and without a 2-colour…