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Percolation criticality research simulator

Family 213: Critical percolation on every quasi-transitive graph. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Network researchers can illustrate the absence of infinite clusters at criticality in the specified infinite quasi-transitive graph class.

Applicability and commercial boundary

An infinite cluster event is different from a finite network reliability objective; the statement does not supply finite size thresholds, critical values or error bars.

Initial business decision

Research infrastructure. Buyer budget, commercial novelty and profitability are unvalidated.

Next verification action

Choose a finite approximation with a separately justified scaling study.

Evidence scope

The catalog statement was individually reviewed. This record does not imply a manuscript proof review or formal-scope comparison. No independent Lean check was run. Source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata.

Main source

Critical bond and site percolation on the cubic lattice.