Alan D. Sokal

According to our database, Alan D. Sokal authored at least 25 papers between 2001 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2024

A Remark on Continued Fractions for Permutations and D-Permutations with a Weight -1 per Cycle.

Bishal Deb, Alan D. Sokal

Electron. J. Comb., 2024

Classical continued fractions for some multivariate polynomials generalizing the Genocchi and median Genocchi numbers.

Bishal Deb, Alan D. Sokal

Adv. Appl. Math., 2024

Total positivity of some polynomial matrices that enumerate labeled trees and forests II. Rooted labeled trees and partial functional digraphs.

Xi Chen, Alan D. Sokal

Adv. Appl. Math., 2024

2022

An Elementary Proof of Takagi's Theorem on the Differential Composition of Polynomials.

Alan D. Sokal

Am. Math. Mon., 2022

Some multivariate master polynomials for permutations, set partitions, and perfect matchings, and their continued fractions.

Alan D. Sokal, Jiang Zeng

Adv. Appl. Math., 2022

2021

Lattice paths and branched continued fractions II. Multivariate Lah polynomials and Lah symmetric functions.

Mathias Pétréolle, Alan D. Sokal

Eur. J. Comb., 2021

The Graham-Knuth-Patashnik Recurrence: Symmetries and Continued Fractions.

Jesús Salas, Alan D. Sokal

Electron. J. Comb., 2021

2020

How To Generalize (and Not To Generalize) the Chu-Vandermonde Identity.

Alan D. Sokal

Am. Math. Mon., 2020

A remark on the enumeration of rooted labeled trees.

Alan D. Sokal

Discret. Math., 2020

Phylogenetic Trees, Augmented Perfect Matchings, and a Thron-type Continued Fraction (T-fraction) for the Ward Polynomials.

Andrew Elvey Price, Alan D. Sokal

Electron. J. Comb., 2020

2015

Linear Bound in Terms of Maxmaxflow for the Chromatic Roots of Series-Parallel Graphs.

Gordon F. Royle, Alan D. Sokal

SIAM J. Discret. Math., 2015

2013

Complex zero-free regions at large |q| for multivariate Tutte polynomials (alias Potts-model partition functions) with general complex edge weights.

Bill Jackson, Aldo Procacci, Alan D. Sokal

J. Comb. Theory B, 2013

Algebraic/combinatorial proofs of Cayley-type identities for derivatives of determinants and pfaffians.

Sergio Caracciolo, Alan D. Sokal, Andrea Sportiello

Adv. Appl. Math., 2013

2011

A Really Simple Elementary Proof of the Uniform Boundedness Theorem.

Alan D. Sokal

Am. Math. Mon., 2011

2010

Maxmaxflow and Counting Subgraphs.

Bill Jackson, Alan D. Sokal

Electron. J. Comb., 2010

2009

Zero-free regions for multivariate Tutte polynomials (alias Potts-model partition functions) of graphs and matroids.

Bill Jackson, Alan D. Sokal

J. Comb. Theory B, 2009

Noncommutative determinants, Cauchy-Binet formulae, and Capelli-type identities I. Generalizations of the Capelli and Turnbull identities.

Sergio Caracciolo, Alan D. Sokal, Andrea Sportiello

Electron. J. Comb., 2009

2008

A randomized polynomial-time algorithm for the Spanning Hypertree Problem on 3-uniform hypergraphs

Sergio Caracciolo, Gregor Masbaum, Alan D. Sokal, Andrea Sportiello

CoRR, 2008

2006

On Dependency Graphs and the Lattice Gas.

Alexander D. Scott, Alan D. Sokal

Comb. Probab. Comput., 2006

2005

The multivariate Tutte polynomial (alias Potts model) for graphs and matroids.

Alan D. Sokal

Proceedings of the Surveys in Combinatorics, 2005

2004

The Brown-Colbourn conjecture on zeros of reliability polynomials is false.

Gordon F. Royle, Alan D. Sokal

J. Comb. Theory B, 2004

Chromatic Roots are Dense in the Whole Complex Plane.

Alan D. Sokal

Comb. Probab. Comput., 2004

Homogeneous multivariate polynomials with the half-plane property.

Youngbin Choe, James G. Oxley, Alan D. Sokal, David G. Wagner

Adv. Appl. Math., 2004

2001

On the Chromatic Roots of Generalized Theta Graphs.

Jason I. Brown, Carl A. Hickman, Alan D. Sokal, David G. Wagner

J. Comb. Theory B, 2001

Bounds On The Complex Zeros Of (Di)Chromatic Polynomials And Potts-Model Partition Functions.

Alan D. Sokal

Comb. Probab. Comput., 2001