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arXiv · 2609.10641

A Deadline-Driven Algorithm for Polyamorous Scheduling

Arjun Maneesh Agarwal
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Abstract

In Polyamorous Scheduling Problem, we are given an edge-weighted graph and must find a periodic schedule of matchings in this graph which minimizes the maximal weighted waiting time between consecutive occurrences of the same edge. This NP-hard problem generalises Bamboo Garden Trimming and is motivated by the need to find schedules of pairwise meetings in a complex social group. We present a $4 G^*$ algorithm for Polyamorous Scheduling, improving the previously known bound of $3 + \sqrt{5} \approx 5.236$. Our algorithm is inspired by the Deadline-Driven Heuristic which is optimal for Bamboo Garden Trimming (BGT).

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Arjun Maneesh Agarwal. 2026-09-09. A Deadline-Driven Algorithm for Polyamorous Scheduling. https://arxiv.org/abs/2609.10641

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