combinatorics / Graph Parameters, Tensor Categories

Mixed Partition Functions and Exponentially Bounded Edge-Connection Rank

Regts and Sevenster conjectured that a complex-valued graph parameter $f$ with $f(\varnothing)=1$ has exponentially bounded edge-connection rank precisely when it is a mixed partition function. The paper proves it, with the numbers of even and odd colours bounded in terms of the rank bound.

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combinatoricsJul 29, 2026Significance 15/100Registry: unreviewed

Mixed Partition Functions and Exponentially Bounded Edge-Connection Rank

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Regts and Sevenster conjectured that a complex-valued graph parameter $f$ with $f(\varnothing)=1$ has exponentially bounded edge-connection rank precisely when it is a mixed partition function. The paper proves it, with the numbers of even and odd colours bounded in terms of the rank bound.

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Regts and Sevenster conjectured that a complex-valued graph parameter $f$ with $f(\varnothing)=1$ has exponentially bounded edge-connection rank precisely when it is a mixed partition function. The paper proves it, with the numbers of even and odd colours bounded in terms of the rank bound.

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