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In the Search of Optimal Tree Networks: Hardness and Heuristics

Martynov, P., Buzdalov, M., Pankratov, S. , Aksenov, V. ORCID: 0000-0001-9134-5490 & Schmid, S. (2025). In the Search of Optimal Tree Networks: Hardness and Heuristics. In: Proceedings of the Genetic and Evolutionary Computation Conference. GECCO '25: Genetic and Evolutionary Computation Conference, 14-18 Jul 2025, Malaga, Spain. doi: 10.1145/3712256.3726425

Abstract

Traffic in datacenters may follow some pattern: some pairs of servers communicate more frequently than others. Demand-oblivious networks may perform poorly for such workloads, and demand-aware networks optimized for traffic should be used instead. Unfortunately, not all shapes of networks are feasible in real hardware. Practical limitations are usually provided in the form of a topology. For example, a network may be required to be a binary tree, a bounded-degree graph or a Fat tree.
In this work, we consider a topology of a binary tree, one of the most fundamental network topologies. We show that already finding an optimal demand-aware binary tree network is NP-hard. Then, we explore how various optimization techniques, including simple local searches, as well as deterministic mutation and crossover operators, cope with generating efficient tree networks on real-life and synthetic workloads.

Publication Type: Conference or Workshop Item (Paper)
Additional Information: This work is licensed under Creative Commons Attribution International 4.0.
Publisher Keywords: demand-aware networks, binary trees, NP-hardness, heuristics
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Departments: School of Science & Technology
School of Science & Technology > Computer Science
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