graph_core_persistence — GRAPH population op

• データ種: table → table

• 呼び出し: import fullseye as fs; fs.ledger.graph_core_persistence(adjs, mode='in', weighted=False) (実装を直接呼ぶなら import graphinv; graphinv.graph_core_persistence(adjs, mode='in', weighted=False)、台帳から引くなら opsgraph.get("graph_core_persistence"))

使い方

K 個体の配線を同じ節点順で重ね、最深殻(k-core / s-core)に全員で居る節点(persistent)・何匹かで居る(recurrent)・1 匹だけ(transient)を数える。Σ|最深殻| = Σ出現回数 が門。

> 以下の詳細説明は原文のままです —— 要約と見出しは訳出済み。

`adjs is a list of K square matrices or a table {name: matrix}` on the same

node order (a node absent from an individual is a zero row and column). For each

individual the innermost core of :func:graph_kcore (same `mode / weighted`) is

taken; `appearances[v]` counts the individuals whose innermost core contains v.

Following Yadav & Singh 2026, a node is persistent if it is in the core of all K,

recurrent if in 2 .. K−1, transient if in exactly 1, and never otherwise.

Returns a dict: `k (K), n, names, membership` (K, n) bool,

`appearances (n,), persistent / recurrent / transient / never` (n,)

bool masks, `n_persistent .. n_never, kmax` (K,) the innermost index per

individual, `n_inner (K,), mode, weighted`.

Identities: `sum(n_inner) == sum(appearances)`; the four classes partition the

nodes; K identical inputs make every core node persistent and nothing recurrent or

transient; every persistent node is in every individual's innermost core.

Raises `ValueError: adjs` not a list / table; fewer than 2 individuals;

matrices of different sizes; any refusal of :func:graph_kcore.

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)

• poc_worm_core_persists — py -3.11 examples/poc_worm_core_persists.py

型が繋がる次の op(table を入力に取れる)

graph_edge_consensus · tree_morphometry · tree_sholl · tree_run_length

同カテゴリ(population)

graph_edge_consensus · graph_strength_growth

*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.