Exact matching: Algorithms and related problems

NE Maalouly - arxiv preprint arxiv:2203.13899, 2022 - arxiv.org
In 1982, Papadimitriou and Yannakakis introduced the Exact Matching (EM) problem where
given an edge colored graph, with colors red and blue, and an integer $ k $, the goal is to …

On the Exact Matching Problem in Dense Graphs

NE Maalouly, S Haslebacher, L Wulf - arxiv preprint arxiv:2401.03924, 2024 - arxiv.org
In the Exact Matching problem, we are given a graph whose edges are colored red or blue
and the task is to decide for a given integer k, if there is a perfect matching with exactly k red …

[PDF][PDF] Towards a Deterministic Polynomial Time Algorithm for the Exact Matching Problem

N El Maalouly - 2024 - research-collection.ethz.ch
This thesis deals with graph problems that are solvable in randomized polynomial time but
no deterministic algorithm exists for them. The central problem we focus on is the Exact …