From the 1 of 6 linked papers with an AI index.
6 papers
Efficiently Coloring the Intersection of a General Matroid and Combinatorial Matroids
Stephen Arndt, Benjamin Moseley, Kirk Pruhs +1
The paper presents a polynomial‑time algorithm that colors the intersection of a general matroid with several partition (or related combinatorial) matroids using at most a constant…
Matroid Contention Resolution with Concentration
Stephen Arndt, Benjamin Moseley, Kirk Pruhs +1
Contention resolution schemes (CRS) are a fundamental and widely applied tool for rounding fractional solutions subject to combinatorial constraints. However, the known analyses of…
Approximation Algorithms for Matroid-Intersection Coloring with Applications to Rota's Basis Conjecture
Stephen Arndt, Benjamin Moseley, Kirk Pruhs +2
We study algorithmic matroid intersection coloring. Given matroids on a common ground set of elements, the goal is to partition into the fewest number of color clas…
A Better-Than-2 Approximation for the Directed Tree Augmentation Problem
Meike Neuwohner, Olha Silina, Michael Zlatin
We introduce and study a directed analogue of the weighted Tree Augmentation Problem (WTAP). In the weighted Directed Tree Augmentation Problem (WDTAP), we are given an oriented tr…
The Online Submodular Assignment Problem
Daniel Hathcock, Billy Jin, Kalen Patton +2
Online resource allocation is a rich and varied field. One of the most well-known problems in this area is online bipartite matching, introduced in 1990 by Karp, Vazirani, and Vazi…
The Online Submodular Assignment Problem
Daniel Hathcock, Billy Jin, Kalen Patton +2
Online resource allocation is a rich and varied field. One of the most well-known problems in this area is online bipartite matching, introduced in 1990 by Karp, Vazirani, and Vazi…