Counting trees using symmetries (original) (raw)

Enumeration of trees by inversions

Yeong-Nan Yeh, Ira Gessel

Journal of Graph Theory, 1995

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A refinement of Cayley's formula for trees

Ira Gessel

The electronic journal of combinatorics

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Enumeration results for alternating tree families

Alois Panholzer

European Journal of Combinatorics, 2010

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Refined enumeration of kkk-plane trees and kkk-noncrossing trees

Isaac Owino Okoth

arXiv (Cornell University), 2022

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Combinatorial differential operators in: Fa\`a di Bruno formula, enumeration of ballot paths, enriched rooted trees and increasing rooted trees

Miguel Mendez

arXiv: Combinatorics, 2016

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A combinatorial proof of the multivariable lagrange inversion formula

Ira Gessel

Journal of Combinatorial Theory, Series A, 1987

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A Combinatorial Identity Concerning Plane Colored Trees and its Applications

Ricky Chen

2017

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Counting formulas and bijections of nondecreasing 2-noncrossing trees

Yvonne kariuki

2024

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Applications of antilexicographic order. I. An enumerative theory of trees

Laszlo Szekely

Advances in Applied Mathematics, 1989

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On the enumeration of certain sets of planted plane trees

sidhartha mohanty

Journal of Combinatorial Theory, 1975

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Enumerations of ordered trees

Shmuel Zaks

Discrete Mathematics, 1980

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Labeled Trees and Relations on Generating Functions

Jean-marc Fédou

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Applications of antilexicographic order. I: An enumerative theroy of trees

Laszlo Szekely

Advances in Applied Mathematics, 1989

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Counting colorful multi-dimensional trees

Roni Adin

Combinatorica, 1992

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Geometry of 𝑞 and 𝑞,𝑡-analogs in combinatorial enumeration

Mark Haiman

Geometric Combinatorics, 2007

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The enumeration of spanning arborescences and trees associated to a given link: an application to the enumeration of linear arborescences and trees

Paulo Boaventura-Netto

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New formulas counting one-face maps and Chapuy's recursion

Ricky Chen

arXiv: Combinatorics, 2015

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Counting Forests By Descents And Leaves

Ira Gessel

The electronic journal of combinatorics

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Bijections for a class of labeled plane trees

Stephan Wagner, Nss Gu

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On Han's Hook Length Formulas for Trees

Peter Guo

The Electronic Journal of Combinatorics, 2011

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Enumeration of linear chord diagrams

Robert Penner

2010

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Single Polygon Counting for mmm Fixed Nodes in Cayley Tree: Two Extremal Cases

Mansoor Saburov, Farrukh Mukhamedov

2010

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Combinatorial Proof of the Inversion Formula on the Kazhdan-Lusztig R-Polynomials

Haoyang Huang, Alan Guo, Michael Zhong

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Combinatorial and probabilistic formulae for divided symmetrization

Fedor Petrov

Discrete Mathematics, 2018

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On combinatorial formulas for Macdonald polynomials

Cristian Lenart

Advances in Mathematics, 2009

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More Patterns in Trees: Up and Down, Young and Old, Odd and Even

Shmuel Zaks

SIAM Journal on Discrete Mathematics, 2009

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A New Proof of Cayleyʼs Formula for Labeled Spanning Trees

Masoud Ariannejad

Electronic Notes in Discrete Mathematics, 2014

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Combinatorial interpretation and proof of Glaisher-Crofton identity

K. Penson

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How to Count Trees?

Krzysztof Kulakowski

International Journal of Modern Physics C, 2005

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On distinguishing trees by their chromatic symmetric functions

Jennifer Wagner, Jeremy L Martin

Journal of Combinatorial Theory, Series …, 2008

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A Combinatorial Approach to Extracting Rooted Tree Statistics from the Order Quasisymmetric Function

Espen Slettnes

2020

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