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0.29.0
The least concentrated optimum, the best constant, both signs of an
objective, and hypergraphs. No new commands (59) or kinds (60); the schema
stays 5.
New
opt --diffuse: among the optimal solutions, the least possible
largest joint load of a pair of resources, certified by the dual of a
second program that holds the optimum -- whether a concentrated support is
this solution's or every optimal one's.- The best constant on a refutation: a refuted bound on one variable,
with linear hypotheses, comes back with the constant they do give and its
variable_rangecertificate (best_constant). HypergraphSpec(matching, transversal; JSON too) underopt,mixed --prove-optimalandcover --minimum;triangle_packingand
triangle_covergive nu(G) and tau(G).cover --minimumwith the LP bound and the gap, in one output.
Fixed
- A minimisation's objective, both ways:
optand the card give the
declared value and the canonical one the certificate stores, with the sense;
a harness read-1/8for a minimum of1/8. The card saysexact: false
for a validpartialcertificate. - The card no longer counts an LP's row names as hypotheses used.