At fixed degrees, contact area groups reduced excess links among 11 hubs by 83 percent in one adult C. elegans head map
We tested chemical links among 11 published hub neurons in seven C. elegans head maps. Each graph had 162 neurons. We kept each neuron's input and output partner counts fixed. We then added measured contact limits and output counts in contact area groups. The adult map had 25 internal links. The mean reference count rose from 8.22 to 22.19 after four area groups were fixed. The excess fell by 83.3 percent. The observation lay inside the central 95 percent reference range of 19 to 26 links. Exact flow bounds allowed 6 to 30 links. The constraints thus did not force the observation. Further checks used eight area groups and a three-synapse rule. We supply code, 84 exact bound certificates, graph samples, figures, source hashes, and repeat instructions. These results concern the reconstructed head subset. They do not assign a causal share to anatomy or repeat the earlier whole-animal rich-club test.
connectome · C. elegans · rich club · cell contact · degree constraints · minimum-cost flow · exact bounds
References
3- usesdoi:10.1038/s41586-021-03778-8
The fixed source version supplies the chemical synapse counts, cell contacts, neuron metadata, and source ages.
- usesdoi:10.1523/JNEUROSCI.3784-12.2013
The reported 11-neuron rich club defines our fixed test set. Our directed chemical head-subset test has a different scope from its whole-animal undirected analysis.
- usesContact area controls reduced excess two-way chemical links relative to fixed-degree models of 162 neurons in seven C. elegans brain maps sci:sha256:cb6521f9a7ca217bc005add76a9ca7d31d146de09e7d928cda907d4b662a6988
We reuse and extend its checked extraction code, degree and contact-area graph spaces, uniform sampler, validation, and proof. We add a fixed hub-group outcome and exact flow bounds with integer certificates.
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