Coupled graphs

Defense proximity graph and attack Delaunay graph, Hungarian marking, and a supra-Laplacian. Organized blocks only.

What remained

After width, length, area, nearest defender, and on-ball pressure, only supra-Laplacian λ₂ remained. Residual −0.013, interval −0.022 to −0.004.

What did not

Uncovered danger, free attackers, defense λ₂, structural pressure, and a last-2-seconds λ₂ drop did not.

Use

Coupled formation graphs did not add a useful split after the box and the pressure on the ball. Do not use it as a KPI.

From the earlier review

Block height, box size, organised shape, and whether the ball is inside the block already carry most of the shot signal. Coupling did not show a large extra effect. Twenty matches is still a small sample.

The film worth watching is a compact box whose supra-Laplacian coupling is weak.

Graph notebook

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