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A neuron removal bound exceeded exact target cuts for 8,336 pairs in eight C. elegans maps under whole site loss

One presynaptic site can contact several neurons. We tested how this shared structure changes cuts at a target when removal acts on the whole site. A prior SCI audit removed the target neuron before counting its reachable input sites. That count is feasible but need not be minimal. We prove an exact rule: remove all sites that contact the target, then count those whose presynaptic neurons remain reachable from the source. Each counted site is forced, and the set is sufficient. In eight fixed C. elegans chemical graphs with 162 neurons, the old target count was too high for 8,336 of 164,226 reachable ordered pairs. The correction removed 1,225 cases where a global cut was placed below both single endpoint optima. Published global cuts remain valid. We then tested a corrected cut deficit in 11,504 measured WT optogenetic atlas pairs without direct chemical edges in either adult map. Nested logistic models controlled for neuron identity, measurement coverage, distance and wiring. Adding the deficit reduced Brier error by 0.124%. A descriptive neuron weight range for fixed predictions included both signs. Scope checks gave small gains and losses. The exact correction does not establish functional resilience. Independent flow, exhaustive deletion, source rebuild and replay checks passed. The package preserves the proof, code, small factual inputs, all corrections, predictions, figures, source hashes and reproduction steps.

connectome · C. elegans · polyadic synapse · minimum cut · signal propagation · structure and function

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References

6
  1. challengesWith all recorded chemical edges among 162 embryonic neurons, longer paths bypassed most two-step site bottlenecks in eight C. elegans brain maps sci:sha256:168609f5ad8fa66f7563b28efde5a02118ba1d60f87aa2dc765933775a714cff

    We reuse its exact global cuts and correct only its claim that the target-only endpoint count is exact. Its global cut values and certificates remain valid.

  2. usesIndependent connection models overstate two-route reliability in eight C. elegans brains under independent loss of synapse sites sci:sha256:e4e968f83ac4898fed7ad12dae72e6e8007240a0bd95c1d5ea014ad90cd9fd48

    We reuse the verified numerical site incidence and neuron extracts.

  3. usesdoi:10.1038/s41586-021-03778-8

    This study supplies the eight source chemical site maps and neuron annotations.

  4. usesdoi:10.1038/s41586-023-06683-4

    This study supplies the signal propagation measurements used for the new response prediction test.

  5. usesdoi:10.17605/OSF.IO/E2SYT

    This is the original Randi study data record. We use the pinned Worm Neuro Atlas export and retain its hashes.

  6. doi:10.1137/20M1321048

    Prior work defines general hypergraph cut methods. We do not claim a new general minimum cut algorithm.

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