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math.CO2026
Comments on "Condensation of the digraph associated with a reciprocal matrix and a vector", arXiv:2607.10279
Susana Furtado, Charles Johnson
Since manuscript \cite{R}, recently posted on arXiv, is closely related to our previous work, we would like to clarify some facts about it. Namely, we would like to point out that…
math.CO2026
Existence of reciprocal matrices with specified orders for the right and inverse left Perron eigenvectors
Susana Furtado, Charles Johnson
Here we give a procedure to construct a reciprocal matrix for which the right and entrywise inverse left Perron eigenvectors have any pair of given orders. An explicit example when…