Gérard Viennot

2.6k total citations · 1 hit paper
19 papers, 1.1k citations indexed

About

Gérard Viennot is a scholar working on Discrete Mathematics and Combinatorics, Algebra and Number Theory and Computational Theory and Mathematics. According to data from OpenAlex, Gérard Viennot has authored 19 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 14 papers in Discrete Mathematics and Combinatorics, 10 papers in Algebra and Number Theory and 6 papers in Computational Theory and Mathematics. Recurrent topics in Gérard Viennot's work include Advanced Combinatorial Mathematics (13 papers), Advanced Mathematical Identities (7 papers) and semigroups and automata theory (4 papers). Gérard Viennot is often cited by papers focused on Advanced Combinatorial Mathematics (13 papers), Advanced Mathematical Identities (7 papers) and semigroups and automata theory (4 papers). Gérard Viennot collaborates with scholars based in France, United States and Australia. Gérard Viennot's co-authors include Ira M. Gessel, M. Delest, Mourad E. H. Ismail, Dennis Stanton, J Françon, Dominique Gouyou-Beauchamps, Robert Cori, Serge Dulucq, Jean Vuillemin and Pierre Leroux and has published in prestigious journals such as Annals of the New York Academy of Sciences, Lecture notes in mathematics and Advances in Mathematics.

In The Last Decade

Gérard Viennot

19 papers receiving 1.0k citations

Hit Papers

Binomial determinants, paths, and hook length formulae 1985 2026 1998 2012 1985 100 200 300
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Binomial determinants, paths, and hook length formulae
    1985 394 citations Ira M. Gessel, Gérard Viennot Advances in Mathematics profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Gérard Viennot France 13 780 441 324 273 271 19 1.1k
Curtis Greene United States 20 940 1.2× 418 0.9× 575 1.8× 273 1.0× 562 2.1× 44 1.4k
I. P. Goulden Canada 21 686 0.9× 353 0.8× 606 1.9× 425 1.6× 226 0.8× 86 1.2k
Dominique Foata France 19 1.1k 1.4× 844 1.9× 436 1.3× 290 1.1× 409 1.5× 81 1.6k
Mireille Bousquet‐Mélou France 21 993 1.3× 313 0.7× 340 1.0× 533 2.0× 542 2.0× 79 1.5k
Audrey Terras United States 15 248 0.3× 282 0.6× 526 1.6× 461 1.7× 231 0.9× 48 1.3k
Greg Kuperberg United States 20 525 0.7× 270 0.6× 841 2.6× 478 1.8× 280 1.0× 66 1.6k
David P. Robbins United States 14 476 0.6× 232 0.5× 369 1.1× 141 0.5× 188 0.7× 37 788
Sylvie Corteel France 17 711 0.9× 582 1.3× 160 0.5× 232 0.8× 117 0.4× 68 1.0k
Igor Pak United States 18 653 0.8× 267 0.6× 369 1.1× 252 0.9× 294 1.1× 120 1.0k
Emeric Deutsch United States 18 575 0.7× 330 0.7× 398 1.2× 159 0.6× 590 2.2× 79 1.2k

Countries citing papers authored by Gérard Viennot

Since Specialization
Citations

This map shows the geographic impact of Gérard Viennot's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Gérard Viennot with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Gérard Viennot more than expected).

Fields of papers citing papers by Gérard Viennot

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Gérard Viennot. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Gérard Viennot. The network helps show where Gérard Viennot may publish in the future.

Co-authorship network of co-authors of Gérard Viennot

This figure shows the co-authorship network connecting the top 25 collaborators of Gérard Viennot. A scholar is included among the top collaborators of Gérard Viennot based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Gérard Viennot. Gérard Viennot is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

19 of 19 papers shown
1.
Viennot, Gérard. (1989). Heaps of Pieces, I: Basic Definitions and Combinatorial Lemmas. Annals of the New York Academy of Sciences. 576(1). 542–570. 102 indexed citations
2.
Leroux, Pierre & Gérard Viennot. (1988). Combinatorial resolution of systems of differential equations. IV. separation of variables. Discrete Mathematics. 72(1-3). 237–250. 12 indexed citations
3.
Gouyou-Beauchamps, Dominique & Gérard Viennot. (1988). Equivalence of the two-dimensional directed animal problem to a one-dimensional path problem. Advances in Applied Mathematics. 9(3). 334–357. 54 indexed citations
4.
Viennot, Gérard. (1987). Bijections for the Rogers-Ramanujan Reciprocal. Journal of the Indian Mathematical Society. 52. 171–183. 3 indexed citations
5.
Andrews, George E., R. J. Baxter, David M. Bressoud, et al.. (1987). Partitions with Prescribed Hook Differences. European Journal of Combinatorics. 8(4). 341–350. 32 indexed citations
6.
Ismail, Mourad E. H., Dennis Stanton, & Gérard Viennot. (1987). The Combinatorics of q-Hermite polynomials and the Askey—Wilson Integral. European Journal of Combinatorics. 8(4). 379–392. 128 indexed citations
7.
Cori, Robert, Serge Dulucq, & Gérard Viennot. (1986). Shuffle of parenthesis systems and baxter permutations. Journal of Combinatorial Theory Series A. 43(1). 1–22. 25 indexed citations
8.
Gessel, Ira M. & Gérard Viennot. (1985). Binomial determinants, paths, and hook length formulae. Advances in Mathematics. 58(3). 300–321. 394 indexed citations breakdown →
9.
Delest, M. & Gérard Viennot. (1984). Algebraic languages and polyominoes enumeration. Theoretical Computer Science. 34(1-2). 169–206. 185 indexed citations
10.
Viennot, Gérard. (1983). Problèmes combinatoires posés par la physique statistique. French digital mathematics library (Numdam). 26. 225–246. 23 indexed citations
11.
Viennot, Gérard. (1983). Maximal chains of subwords and up-down sequences of permutations. Journal of Combinatorial Theory Series A. 34(1). 1–14. 8 indexed citations
12.
Viennot, Gérard. (1982). Inteprétations combinatoires des nombres d#Euler et de Genocchi. 11. 1–94. 8 indexed citations
13.
Viennot, Gérard. (1981). Équidistribution des permutations ayant une forme donnée selon les avances et coavances. Journal of Combinatorial Theory Series A. 31(1). 43–55. 10 indexed citations
14.
Viennot, Gérard. (1980). Une interprétation combinatoire des coefficients des développements en série entière des fonctions elliptiques de Jacobi. Journal of Combinatorial Theory Series A. 29(2). 121–133. 19 indexed citations
15.
Françon, J & Gérard Viennot. (1979). Permutations selon leurs pics, creux, doubles montées et double descentes, nombres d'euler et nombres de Genocchi. Discrete Mathematics. 28(1). 21–35. 58 indexed citations
16.
Viennot, Gérard. (1979). Permutations ayant une forme donnee. Discrete Mathematics. 26(3). 279–284. 19 indexed citations
17.
Viennot, Gérard. (1978). Algèbres de Lie libres et monoïdes libres : bases des algèbres de Lie libres et factorisations des monoïdes libres. Springer eBooks. 1 indexed citations
18.
Viennot, Gérard. (1978). Algèbres de Lie Libres et Monoïdes Libres. Lecture notes in mathematics. 46 indexed citations
19.
Françon, J, Gérard Viennot, & Jean Vuillemin. (1978). Description and analysis of an efficient priority queue representation. 7. 1–7. 23 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by Curtis Greene Breakdown of academic impact, for papers by I. P. Goulden Breakdown of academic impact, for papers by Dominique Foata Breakdown of academic impact, for papers by Mireille Bousquet‐Mélou Breakdown of academic impact, for papers by Audrey Terras Breakdown of academic impact, for papers by Greg Kuperberg Breakdown of academic impact, for papers by David P. Robbins Breakdown of academic impact, for papers by Sylvie Corteel Breakdown of academic impact, for papers by Igor Pak Breakdown of academic impact, for papers by Emeric Deutsch
Rankless by CCL
2026