Xiaomei Chen

most citedNote on eigenvectors from eigenvalues

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math.CO2020

Counting generalized Schröder paths

Xiaomei Chen, Yuan Xiang

A Schröder path is a lattice path from $(0, 0)$ to $(2 n, 0)$ with steps $(1, 1)$ , $(1, - 1)$ and $(2, 0)$ that never goes below the $x -$ axis. A small Schröder path is a Schröder path wit…

math.CO2020

Enumeration of row-increasing tableaux of two-row skew shapes

Xiaomei Chen

In this paper, we firstly extend a result of Bonin, Shapiro and Simion by giving the distribution of the major index over generalized Schröder paths. Then by providing a bijection…

math.CO2019

A note on the distribution of major index for Schröder paths

Xiaomei Chen

Bonin, Shapiro and Simion (1993) gave two formulas on the distribution of major index for Schröder paths, and proved their result for the case $E < D < N$ . In this short note, we corre…

math.CO2019

Note on the diversity of intersecting families

Xiaomei Chen, Peng Jin

Let $n = 2 k + 1$ be odd with $k \geq 3$ . In this note, we give two intersecting families with diversity larger than $\sum_{i = k + 1}^{2 k} (i 2 k)$ , which disprove a conjecture of Hua…