fullseye

graph_cycle3 — GRAPH motif op

• データ種: matrix → table
• 呼び出し: import fullseye as fs; fs.ledger.graph_cycle3(adj) (実装を直接呼ぶなら import graphinv; graphinv.graph_cycle3(adj)、台帳から引くなら opsgraph.get("graph_cycle3"))

使い方

Number of directed 3-cycles i -> j -> k -> i as tr(B^3) / 3.

Each cycle is counted once (the trace visits it from each of its three starting nodes). Self-loops are removed first. Returns a dict with cycles3 and n.

A second, independent implementation (brute-force enumeration) agrees exactly on small graphs — pinned in the tests, because a single implementation of a counting formula cannot catch its own off-by-three.

Raises ValueError: as :func:graph_degree_summary.

参考(サンプルデータ・文献)

• サンプルデータ カタログ(DL URL / ライセンス) — 2-D は skimage.data(BSD/public)+ 合成、3-D は実データ源(Stanford/PDS 等)の DL URL。
• 演算子の来歴・参考文献 — この op 族の元になった研究/手法の出典。
• アルゴリズムの正典(著者・年)と用途は上記ファミリ使い方ガイドに記載。

実行できる例(この op を実際に呼ぶ検証済みサンプル)

• graphinv_three_phyla — py -3.11 examples/graphinv_three_phyla.py

型が繋がる次の op(table を入力に取れる)

graph_edge_consensus · graph_core_persistence · tree_morphometry · tree_sholl · tree_run_length

同カテゴリ(motif)

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Provenance: graphinv.py — GRAPH operator registry. この per-op ノートは tools/opdocs.py md が自動生成(手編集しない)。

© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.

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