Establishes equivalence between strong Gram congruence and (weak Gram congruence + same Coxeter polynomial) for connected non-negative unit forms of type A_r, completing their classification.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Two algorithms using bigraph inflations test positive definiteness of unidiagonal integral matrices with O(n^3) and O(n^4) pessimistic complexity and Las Vegas variants.
citing papers explorer
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A strong Gram classification of non-negative unit forms of Dynkin type A
Establishes equivalence between strong Gram congruence and (weak Gram congruence + same Coxeter polynomial) for connected non-negative unit forms of type A_r, completing their classification.
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Two nondeterministic positive definiteness tests for unidiagonal integral matrices
Two algorithms using bigraph inflations test positive definiteness of unidiagonal integral matrices with O(n^3) and O(n^4) pessimistic complexity and Las Vegas variants.