null op• Data kinds: matrix → table
• Call: import fullseye as fs; fs.ledger.graph_degree_preserving_null(adj, n_samples=20, swaps_per_edge=5, seed=0) (implementation को सीधे call करना हो तो import graphinv; graphinv.graph_degree_preserving_null(adj, n_samples=20, swaps_per_edge=5, seed=0), registry से लेना हो तो opsgraph.get("graph_degree_preserving_null"))
3-cycles और reciprocity की degree-preserving null model से तुलना करता है।
> नीचे का विस्तृत विवरण मूल text में है — सारांश और headings का अनुवाद हो चुका है।
Each null sample requests swaps_per_edge * |E| edge swaps that keep every node's in- and out-degree exactly (Maslov & Sneppen 2002); a swap that would create a self-loop or duplicate edge is skipped, so dense graphs accept fewer (swaps_accepted). The sample's degree sequences are checked against the original before it is used — a null that drifted would make every ratio a lie, so this fails closed.
Returns a dict with the observed cycles3 and reciprocal_pairs, the null *_null_mean / *_null_sd, the *_ratio (observed / null mean) and *_z, plus n_samples, swaps (requested per sample) and swaps_accepted (list, accepted per sample). Ratios are what let graphs of different size be compared; raw counts cannot.
Raises ValueError: as graph_degree_summary; n_samples < 2 (no spread to estimate); swaps_per_edge < 1; a graph with fewer than 2 edges (nothing to swap).
• Sample data catalog (DL URL / license) — 2-D के लिए skimage.data (BSD/public) + synthetic, 3-D के लिए real data sources (Stanford/PDS आदि) के DL URL।
• Operators का स्रोत और संदर्भ — इस op family के मूल research/methods के स्रोत।
• Algorithm का मानक स्रोत (लेखक, वर्ष) और उपयोग ऊपर की family usage guide में दिए गए हैं।
• graphinv_three_phyla — py -3.11 examples/graphinv_three_phyla.py
table को input के रूप में लेते हैं)graph_edge_consensus · graph_core_persistence · tree_morphometry · tree_sholl · tree_run_length
null)—
*Provenance: graphinv.py — GRAPH operator registry. यह per-op note tools/opdocs.py md से अपने-आप generate होता है (हाथ से edit न करें)।*
© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.