Real exchange matrices that are sign-coherent are characterized: quasi-integer type in general, and in rank 2 or finite type by Coxeter diagrams (sqrt(ab) = 2 cos(pi/m) or sqrt(ab) >= 2, and types A through I2(m)).
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Real $C$-, $G$-structures and sign-coherence of cluster algebras
Real exchange matrices that are sign-coherent are characterized: quasi-integer type in general, and in rank 2 or finite type by Coxeter diagrams (sqrt(ab) = 2 cos(pi/m) or sqrt(ab) >= 2, and types A through I2(m)).