2 papers
cs.DM2025
Induced matching treewidth and tree-independence number, revisited
Noga Alon, Martin Milanič, Paweł Rzążewski
We study two graph parameters defined via tree decompositions: tree-independence number and induced matching treewidth. Both parameters are defined similarly as treewidth, but with…
cs.DS2024
A Bicriterion Concentration Inequality and Prophet Inequalities for -Fold Matroid Unions
Noga Alon, Nick Gravin, Tristan Pollner +4
We investigate prophet inequalities with competitive ratios approaching , seeking to generalize -uniform matroids. We first show that large girth does not suffice: for all $k…