graph_motif_count — CONNGRAPH stats op

• Data kinds: conn_graph → measurement

• Call: import fullseye as fs; fs.ledger.graph_motif_count(W: 'Any', motif: 'str' = 'ffl') -> 'float' (to call the implementation directly, import conngraph; conngraph.graph_motif_count(W: 'Any', motif: 'str' = 'ffl') -> 'float'; from the registry, opsconngraph.get("graph_motif_count"))

Usage

Counts of 3-node motifs (binary directed, diagonal excluded): reciprocal / ffl / cycle3.

reciprocal = number of reciprocally connected pairs (Σ A∧Aᵀ)/2, ffl = Σ_ac (A²)_ac A_ac (a→b, b→c, a→c), cycle3 = tr(A³)/3. Each instance is counted only 1 time.

Detailed usage guide

• conngraph family guide

References (sample data, literature)

• Sample-data catalog (download URLs / licences) — 2-D uses skimage.data (BSD/public domain) plus synthetic images; 3-D lists download URLs for real data sources (Stanford, PDS, …).

• Operator provenance and references — the sources of the research/methods this op family came from.

• The canonical algorithm (author, year) and its uses are named in the family usage guide above.

Runnable examples (verified samples that actually call this op)

• (none yet)

Ops the type connects to (they accept measurement as input)

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Same category (stats)

graph_degree_table · graph_clustering_coefficient · graph_betweenness · graph_laplacian_spectrum · graph_spectral_radius · graph_components · graph_modularity · graph_rich_club

*Provenance: conngraph.py — CONNGRAPH operator registry. This per-op note is generated by tools/opdocs.py md (do not hand-edit).*

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