10 citations · 13 across the 9 of their papers we have counts for
Showing 2002 · math.COShow all
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math.CO2002
Simplicial complexes associated to certain subsets of natural numbers and its applications to multiplicative functions
Jan Snellman
We call a set of positive integers closed under taking unitary divisors a unitary ideal. It can be regarded as a simplicial complex. Moreover, a multiplicative arithmetical functio…
math.CO2002★ 1 cited
The maximal spectral radius of a digraph with (m+1)^2 - s edges
Jan Snellman
It is known that the spectral radius of a digraph with k edges is \le \sqrt{k}, and that this inequality is strict except when k is a perfect square. For k=m^2 + \ell, \ell fixed,…
math.CO2002
A poset classifying non-commutative term orders
Jan Snellman
We study a certain poset on the free monoid on a countable alphabet. This poset is determined by the fact that its total extensions are precisely the standard term orders. We also…