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arxiv: 2312.13861 · v1 · pith:5HH77LGY · submitted 2023-12-21 · math.CO

Graph partition method based on finite projective planes

Oleg Kruglov , Anna Mastikhina , Oleg Senkevich , Dmitry Sirotkin , Stanislav Moiseev This is my paper

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classification math.CO
keywords sqrtgraphpartitionalgorithmapproachesbetterboundconstrained
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We present a novel graph partition algorithm with a theoretical bound for the replication factor of \sqrt(n), which improves known constrained approaches (grid: 2* \sqrt(n)-1, torus: 1.5*\sqrt(n)+1) and provides better performance

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Fundamental Limits of Hypergraph Edge Partitioning under Independent Edge Sampling

    cs.IT 2026-06 unverdicted novelty 7.0

    The minimal achievable vertex footprint for hypergraph edge partitioning under independent edge sampling is (1/(2√2)) n / N^{1/d}, with a deterministic partitioner achieving it up to a small constant factor.