Internal neuron cuts were smaller than edge cuts in 9.9 and 10.9 percent of reachable pairs without a direct edge in two adult worm chemical maps

We compared the smallest directed edge cut with the smallest internal neuron cut for ordered cell pairs without a direct edge in two adult worm head maps. Both graphs had 178 selected neurons. Chemical graphs had 25,896 and 25,923 reachable eligible pairs. The neuron cut was smaller for 2,551 (9.85 percent) and 2,835 (10.94 percent) pairs. Neither primary graph had a one-neuron cut for a pair with at least two edge-disjoint routes. We also tested removal of weak chemical edges and addition of partially annotated electrical connections. Exact integer flow and deletion checks support the counts. These are fixed-graph results from two animals. They do not measure neural transmission, behavior, random damage, or biological compensation. The package preserves code, all pair counts, cut witnesses, graph edges, and source hashes. Mean per-pair neuron-cut/edge-cut ratios were 0.9859 and 0.9851. Thus the mean relative difference was small.

C. elegans · internal neuron cut · edge connectivity · directed routes · lesion tolerance · Menger theorem