Showing 2025Show all
3 papers · 1 filter
math.CO2025
Chromatic numbers with open and nonzero local modular constraints
Daniel Herden, Jonathan Meddaugh, Mark R. Sepanski +9
In this paper, we explore chromatic numbers subject to various local modular constraints. For fixed , we consider proper integer colorings of a graph for which the closed an…
math.OC2025
Mean Field Games of Controls with Boundary Conditions & Invariance Constraints
P. Jameson Graber, Kyle Rosengartner
In a mean field game of controls, a large population of identical players seek to minimize a cost that depends on the joint distribution of the states of the players and their cont…
math.CO2025
Chromatic numbers with closed local modular constraints
Daniel Herden, Jonathan Meddaugh, Mark R. Sepanski +9
Generalizing the notion of odd-sum colorings, a -labeling of a graph is called a closed coloring with remainder if the closed neighborhood label sum of ea…