29 citations · 129 across the 32 of their papers we have counts for
34 papers
Symmetries on vector parking functions via bounded lattice paths
Wenjie Fang, Yang Li, Zhicong Lin
Partly motivated by enumeration of parking functions and their variants, there is a long-standing interest in lattice paths refined by several statistics, including the notable $\m…
Decomposition of Greedy Tamari Intervals and Bipartite Planar Maps
Philippe Biane, Wenjie Fang
The greedy Tamari poset, inspired by the well-studied Tamari lattice, was recently defined by Dermenjian in the more general setting of greedy -Tamari posets. Bousquet-Mélou and…
On the area-depth symmetry on Łukasiewicz paths
Wenjie Fang
In an effort to further understanding -Catalan statistics, a new statistic on Dyck paths called was proposed in Pappe, Paul and Schilling (2022) and was shown…
Asymptotic normality of embedding distributions of some families of graphs
Yichao Chen, Wenjie Fang, Zhicheng Gao +1
Computing the embedding distribution of a given graph is a fundamental question in topological graph theory. In this article, we extend our viewpoint to a sequence of graphs and co…
Bivariate asymptotics via random walks: application to large genus maps
Andrew Elvey Price, Wenjie Fang, Baptiste Louf +1
We obtain bivariate asymptotics for the number of (unicellular) combinatorial maps (a model of discrete surfaces) as both the size and the genus grow. This work is related to two r…
A new definition for m-Cambrian lattices
Clément Chenevière, Wenjie Fang, Corentin Henriet
The Cambrian lattices, introduced in (Reading, 2006), generalize the Tamari lattice to any choice of Coxeter element in any finite Coxeter group. They are further generalized to th…
Maximal number of subword occurrences in a word
Wenjie Fang
We consider the number of occurrences of subwords (non-consecutive sub-sequences) in a given word. We first define the notion of subword entropy of a given word that measures the m…
Tamari intervals and blossoming trees
Wenjie Fang, Éric Fusy, Philippe Nadeau
We introduce a simple bijection between Tamari intervals and the blossoming trees (Poulalhon and Schaeffer, 2006) encoding planar triangulations, using a new meandering representat…
Bijective proof of a conjecture on unit interval posets
Wenjie Fang
In a recent preprint, Matherne, Morales and Selover conjectured that two different representations of unit interval posets are related by the famous zeta map in -Catalan combi…
Searching on the boundary of abundance for odd weird numbers
Wenjie Fang
Weird numbers are abundant numbers that are not pseudoperfect. Since their introduction, the existence of odd weird numbers has been an open problem. In this work, we describe our…
Bijections between planar maps and planar linear normal -terms with connectivity condition
Wenjie Fang
The enumeration of linear -terms has attracted quite some attention recently, partly due to their link to combinatorial maps. Zeilberger and Giorgetti (2015) gave a recursive bi…
Parabolic Tamari Lattices in Linear Type B
Wenjie Fang, Henri Mühle, Jean-Christophe Novelli
We study parabolic aligned elements associated with the type- Coxeter group and the so-called linear Coxeter element. These elements were introduced algebraically in (Mühle and…
Efficient recurrence for the enumeration of permutations with fixed pinnacle set
Wenjie Fang
Initiated by Davis, Nelson, Petersen and Tenner (2018), the enumerative study of pinnacle sets of permutations has attracted a fair amount of attention recently. In this article, w…
A Consecutive Lehmer Code for Parabolic Quotients of the Symmetric Group
Wenjie Fang, Henri Mühle, Jean-Christophe Novelli
In this article we define an encoding for parabolic permutations that distinguishes between parabolic -avoiding permutations. We prove that the componentwise order on these co…
A character approach to directed genus distribution of graphs: the bipartite single-black-vertex case
Yichao Chen, Wenjie Fang
Given an Eulerian digraph, we consider the genus distribution of its face-oriented embeddings. We prove that such distribution is log-concave for two families of Eulerian digraphs,…
Bijective link between Chapoton's new intervals and bipartite planar maps
Wenjie Fang
In 2006, Chapoton defined a class of Tamari intervals called "new intervals" in his enumeration of Tamari intervals, and he found that these new intervals are equi-enumerated with…
Compacted binary trees admit a stretched exponential
Andrew Elvey Price, Wenjie Fang, Michael Wallner
A compacted binary tree is a directed acyclic graph encoding a binary tree in which common subtrees are factored and shared, such that they are represented only once. We show that…
Absolute root separation
Yann Bugeaud, Andrej Dujella, Wenjie Fang +2
The absolute separation of a polynomial is the minimum nonzero difference between the absolute values of its roots. In the case of polynomials with integer coefficients, it can be…
The Steep-Bounce Zeta Map in Parabolic Cataland
Cesar Ceballos, Wenjie Fang, Henri Mühle
As a classical object, the Tamari lattice has many generalizations, including -Tamari lattices and parabolic Tamari lattices. In this article, we unify these generalizations in…
Subcritical random hypergraphs, high-order components, and hypertrees
Oliver Cooley, Wenjie Fang, Nicola Del Giudice +1
In the binomial random graph , when changes from (subcritical case) to and then to (supercritical case) for $\va…
A partial order on Motzkin paths
Wenjie Fang
The Tamari lattice, defined on Catalan objects such as binary trees and Dyck paths, is a well-studied poset in combinatorics. It is thus natural to try to extend it to other famili…
Fighting fish and two-stack sortable permutations
Wenjie Fang
In 2017, Duchi, Guerrini, Rinaldi and Schaeffer proposed a new family of combinatorial objects called "fighting fish", which are counted by the same formula as more classical objec…
A trinity of duality: non-separable planar maps, -(1,0) trees and synchronized intervals
Wenjie Fang
The dual of a map is a fundamental construction on combinatorial maps, but many other combinatorial objects also possess their notion of duality. For instance, the Tamari lattice i…
Planar triangulations, bridgeless planar maps and Tamari intervals
Wenjie Fang
We present a direct bijection between planar 3-connected triangulations and bridgeless planar maps, which were first enumerated by Tutte (1962) and Walsh and Lehman (1975) respecti…