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arXiv · 2411.07553

A Simple Algorithm for Dynamic Carpooling with Recourse

Yuval Efron·Shyamal Patel·Cliff Stein
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Abstract

We give an algorithm for the fully-dynamic carpooling problem with recourse: Edges arrive and depart online from a graph $G$ with $n$ nodes according to an adaptive adversary. Our goal is to maintain an orientation $H$ of $G$ that keeps the discrepancy, defined as $\max_{v \in V} |\text{deg}_H^+(v) - \text{deg}_H^-(v)|$, small at all times. We present a simple algorithm and analysis for this problem with recourse based on cycles that simplifies and improves on a result of Gupta et al. [SODA '22].

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Yuval Efron, Shyamal Patel, Cliff Stein. 2024-11-22. A Simple Algorithm for Dynamic Carpooling with Recourse. https://arxiv.org/abs/2411.07553

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