John M. Machacek

activity

20162023

most cited

q

-Rational and

q

-Real Binomial Coefficients

1 citations · 1 across the 3 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.CO2020

Unique maximum independent sets in graphs on monomials of a fixed degree

John Machacek

We consider graphs on monomials in $n$ variables of a fixed degree $d$ where two monomials are adjacent if and only if their least common multiple has degree $d + 1$ . We prove that w…

math.CO2020

Sign variation and descents

Nantel Bergeron, Aram Dermenjian, John Machacek

For any $n > 0$ and $0 \leq m < n$ , let $P_{n, m}$ be the poset of projective equivalence classes of ${-, 0, +}$ -vectors of length $n$ with sign variation bounded by $m$ , ordered by…