T. Wong

activity

20122018

most citedTotal weight choosability of d-degenerate graphs

5 citations · 12 across the 9 of their papers we have counts for

collaborators

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9 papers · 1 filter

math.CO2018★ 4 cited

Colouring of generalized signed planar graphs

Ligang Jin, Tsai-Lien Wong, Xuding Zhu

Assume $G$ is a graph. We view $G$ as a symmetric digraph, in which each edge $uv$ of $G$ is replaced by a pair of opposite arcs $e = (u, v)$ and $e^{- 1} = (v, u)$ . Assume $S$ is an inve…

math.CO2017

Total weight choosability for Halin graphs

Yu-Chang Liang, Tsai-Lien Wong, Xuding Zhu

A proper total weighting of a graph $G$ is a mapping $ϕ$ which assigns to each vertex and each edge of $G$ a real number as its weight so that for any edge $uv$ of $G$ , $\sum_{e \i…

math.CO2017★ 1 cited

On xD-Generalizations of Stirling Numbers and Lah Numbers via Graphs and Rooks

Sen-Peng Eu, Tung-Shan Fu, Yu-Chang Liang +1

This paper studies the generalizations of the Stirling numbers of both kinds and the Lah numbers in association with the normal order problem in the Weyl algebra $W=\langle x,D|Dx-…

math.CO2015★ 2 cited

Permanent index of matrices associated with graphs

Tsai-Lien Wong, Xuding Zhu

A total weighting of a graph $G$ is a mapping $f$ which assigns to each element $z \in V (G) \cup E (G)$ a real number $f (z)$ as its weight. The vertex sum of $v$ with respect to $f$ …

math.CO2015★ 5 cited

Total weight choosability of d-degenerate graphs

Tsai-Lien Wong, Xuding Zhu

A graph $G$ is $(k, k^{'})$ -choosable if the following holds: For any list assignment $L$ which assigns to each vertex $v$ a set $L (v)$ of $k$ real numbers, and assigns to each edge $e…

math.CO2014

The sorting index on colored permutations and even-signed permutations

Sen-Peng Eu, Yuan-Hsun Lo, Tsai-Lien Wong

We define a new statistic $sor$ on the set of colored permutations $G_{r, n}$ and prove that it has the same distribution as the length function. For the set of re…

math.CO2014

Set-valued sorting index and joint equidistributions

Sen-Pen Eu, Yuan-Hsun Lo, Tsai-Lien Wong

Recently Petersen defined a new Mahonian index sor over the symmetric group $S_{n}$ and proved that $(inv, rlmin)$ and $(sor, cyc)$ have the sa…

math.CO2014

The sorting index and set-valued joint equidistributions of $B_{n}$ and $D_{n}$

Sen-Peng Eu, Yuan-Hsun Lo, Tsai-Lien Wong

The sorting indices $sor_{B}$ and $sor_{D}$ on the Coxeter groups of type $B$ and $D$ respectively are defined by Petersen and it is proved that $(\text{inv}_B, \text{rlm…

math.CO2012

Hankel determinants of sums of consecutive weighted Schröder numbers

Sen-Peng Eu, Tsai-Lien Wong, Pei-Lan Yen

For a real number $t$ , let $r_{ℓ} (t)$ be the total weight of all $t$ -large Schröder paths of length $ℓ$ , and $s_{ℓ} (t)$ be the total weight of all $t$ -small Schröder paths of…

Colouring of generalized signed planar graphs

Total weight choosability for Halin graphs

On xD-Generalizations of Stirling Numbers and Lah Numbers via Graphs and Rooks

Permanent index of matrices associated with graphs

Total weight choosability of d-degenerate graphs

The sorting index on colored permutations and even-signed permutations

Set-valued sorting index and joint equidistributions

The sorting index and set-valued joint equidistributions of Bn​ and Dn​

Hankel determinants of sums of consecutive weighted Schröder numbers

The sorting index and set-valued joint equidistributions of $B_{n}$ and $D_{n}$