16 citations · 69 across the 23 of their papers we have counts for
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math.CO2017★ 16 cited
Hypergraphic polytopes: combinatorial properties and antipode
Carolina Benedetti, Nantel Bergeron, John Machacek
In an earlier paper, the first two authors defined orientations on hypergraphs. Using this definition we provide an explicit bijection between acyclic orientations in hypergraphs a…
math.NT2017
Egyptian Fractions and Prime Power Divisors
John Machacek
From varying Egyptian fraction equations we obtain generalizations of primary pseudoperfect numbers and Giuga numbers which we call prime power psuedoperfect numbers and prime powe…
math.RA2017★ 2 cited
Log-Canonical Coordinates for Poisson Brackets and Rational Changes of Coordinates
John Machacek, Nicholas Ovenhouse
Goodearl and Launois have shown that for a log-canonical Poisson bracket on affine space there is no rational change of coordinates for which the Poisson bracket is constant. Our m…