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5 Nicolas Bousquet, Laurent Feuilloley, and Sébastien Zeitoun

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cs.DC 1

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2026 1

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The local complexity of certifying parity

cs.DC · 2026-06-03 · unverdicted · novelty 8.0

Parity of network size can be locally certified with constant bits using IDs at radius 2 or in bounded-expansion graphs at radius 1, but needs Ω(log log* n) bits in anonymous radius-1 model.

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  • The local complexity of certifying parity cs.DC · 2026-06-03 · unverdicted · none · ref 4

    Parity of network size can be locally certified with constant bits using IDs at radius 2 or in bounded-expansion graphs at radius 1, but needs Ω(log log* n) bits in anonymous radius-1 model.