Katie Ansaldi

collaborators

2 papers

math.CO2019

Rainbow Numbers of $Z_{n}$ for $a_{1} x_{1} + a_{2} x_{2} + a_{3} x_{3} = b$

Katie Ansaldi, Houssein El Turkey, Jessica Hamm +3

An exact $r$ -coloring of a set $S$ is a surjective function $c : S \to [r]$ . The rainbow number of a set $S$ for equation $e q$ is the smallest integer $r$ such that every exact $r$ -co…

math.AC2015

Regularity of Tor for weakly stable ideals

Katie Ansaldi, Nicholas Clarke, Luigi Ferraro

It is proved that if $I$ and $J$ are weakly stable ideals in a polynomial ring $R = k [x_{1}, \dots, x_{n}]$ , with $k$ a field, then the regularity of $Tor_{i}^{R} (R / I, R / J)$ has the exp…

Rainbow Numbers of Zn​ for a1​x1​+a2​x2​+a3​x3​=b

Regularity of Tor for weakly stable ideals

Rainbow Numbers of $Z_{n}$ for $a_{1} x_{1} + a_{2} x_{2} + a_{3} x_{3} = b$