Kean Fallon

collaborators

2 papers

math.CO2019

Counterexamples to Siegel's Conjecture

Kean P. Fallon, Madisyn Janusiak, Edward D. Kim +1

We prove that the intersection of a Hirsch polytope and a cube may be a non-Hirsch polytope.

math.CO2019

Rainbow numbers of $[n]$ for $\sum_{i = 1}^{k - 1} x_{i} = x_{k}$

Kean Fallon, Colin Giles, Hunter Rehm +2

Consider the set ${1, 2, \dots, n} = [n]$ and an equation $e q$ . The rainbow number of $[n]$ for $e q$ , denoted $rb ([n], e q)$ , is the smallest number of colors such that…

Counterexamples to Siegel's Conjecture

Rainbow numbers of [n] for ∑i=1k−1​xi​=xk​

Rainbow numbers of $[n]$ for $\sum_{i = 1}^{k - 1} x_{i} = x_{k}$