Evan Chen

activity

20152024

most citedAvoiding algebraic integers of bounded house in orbits of rational functions over cyclotomic closures

11 citations · 26 across the 10 of their papers we have counts for

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5 papers · 1 filter

math.CO2017★ 1 cited

Multiplicative and Exponential Variations of Orthomorphisms of Cyclic Groups

Evan Chen

An orthomorphism is a permutation $σ$ of ${1, \dots, n - 1}$ for which $x + σ (x) mod n$ is also a permutation on ${1, \dots, n - 1}$ . Eberhard, Manners, Mrazović, showed that the…

math.CO2017★ 6 cited

A Family of Partially Ordered Sets with Small Balance Constant

Evan Chen

Given a finite poset $P$ and two distinct elements $x$ and $y$ , we let $pr_{P} (x ≺ y)$ denote the fraction of linear extensions of $P$ …

math.CO2017★ 2 cited

Schur-Concavity for Avoidance of Increasing Subsequences in Block-Ascending Permutations

Evan Chen

For integers $a_{1}, \dots, a_{n} \geq 0$ and $k \geq 1$ , let $L_{k + 2} (a_{1}, \dots, a_{n})$ denote the set of permutations of ${1, \dots, a_{1} + \dots + a_{n}}$ whose descent set is con…

math.CO2016

The 26 Wilf-equivalence classes of length five quasi-consecutive patterns

Evan Chen, Shyam Narayanan

We present two families of Wilf-equivalences for consecutive and quasi-consecutive vincular patterns. These give new proofs of the classification of consecutive patterns of length…

math.CO2016★ 3 cited

Linear polychromatic colorings of hypercube faces

Evan Chen

A coloring of the $ℓ$ -dimensional faces of $Q_{n}$ is called $d$ -polychromatic if every embedded $Q_{d}$ has every color on at least one face. Denote by $p^{ℓ} (d)$ the maximum numb…