Nathan Warnberg

collaborators

3 papers

math.CO2020

On leaky forcing and resilience

Joseph S. Alameda, Jürgen Kritschgau, Nathan Warnberg +1

A leak is a vertex that is not allowed to perform a force during the zero forcing process. Leaky forcing was recently introduced as a new variation of zero forcing in order to anal…

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.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…

On leaky forcing and resilience

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

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

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

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