J. Irving

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math.CO2025

Revisiting The RÃ©dei-Berge Symmetric Functions via Matrix Algebra

John Irving, Mohamed Omar

We revisit the RÃ©dei-Berge symmetric function $U_{D}$ for digraphs $D$ , a specialization of Chow's path-cycle symmetric function. Through the lens of matrix algebra, we co…

math.CO2024

A Generalized Burge Correspondence and $k$ -measure of Partitions

John Irving

Let $P$ be the set of integer partitions and $D$ the subset of those with distinct parts. We extend a correspondence of Burge between partitions and binary words to give encodings…

Revisiting The RÃ©dei-Berge Symmetric Functions via Matrix Algebra

A Generalized Burge Correspondence and k-measure of Partitions

A Generalized Burge Correspondence and $k$ -measure of Partitions