Alexander Barvinok

3.8k total citations
63 papers, 1.5k citations indexed

About

Alexander Barvinok is a scholar working on Computational Theory and Mathematics, Discrete Mathematics and Combinatorics and Statistics and Probability. According to data from OpenAlex, Alexander Barvinok has authored 63 papers receiving a total of 1.5k indexed citations (citations by other indexed papers that have themselves been cited), including 29 papers in Computational Theory and Mathematics, 26 papers in Discrete Mathematics and Combinatorics and 22 papers in Statistics and Probability. Recurrent topics in Alexander Barvinok's work include Markov Chains and Monte Carlo Methods (21 papers), Advanced Combinatorial Mathematics (16 papers) and Computational Geometry and Mesh Generation (12 papers). Alexander Barvinok is often cited by papers focused on Markov Chains and Monte Carlo Methods (21 papers), Advanced Combinatorial Mathematics (16 papers) and Computational Geometry and Mesh Generation (12 papers). Alexander Barvinok collaborates with scholars based in United States, Russia and Israel. Alexander Barvinok's co-authors include J. A. Hartigan, Alex Samorodnitsky, Isabella Novik, Gerhard J. Woeginger, David S. Johnson, Sergey Fomin, Sándor P. Fekete, Arie Tamir, A. M. Vershik and Mark Rudelson and has published in prestigious journals such as Mathematics of Computation, Journal of the ACM and Mathematical Programming.

In The Last Decade

Alexander Barvinok

60 papers receiving 1.4k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Alexander Barvinok United States 20 632 375 315 289 278 63 1.5k
József Beck United States 21 590 0.9× 392 1.0× 89 0.3× 168 0.6× 217 0.8× 67 1.4k
Assaf Naor United States 31 1.1k 1.8× 300 0.8× 240 0.8× 428 1.5× 608 2.2× 125 2.6k
Vitali Milman Israel 30 765 1.2× 311 0.8× 519 1.6× 273 0.9× 1.1k 3.8× 115 3.4k
Jesús A. De Loera United States 19 573 0.9× 346 0.9× 71 0.2× 121 0.4× 208 0.7× 84 1.1k
Van H. Vu United States 25 652 1.0× 883 2.4× 332 1.1× 296 1.0× 519 1.9× 70 1.7k
Peter Bürgisser Germany 15 822 1.3× 180 0.5× 84 0.3× 359 1.2× 246 0.9× 63 1.3k
Gideon Schechtman Israel 25 416 0.7× 98 0.3× 463 1.5× 226 0.8× 406 1.5× 100 2.1k
Robert F. Tichy Austria 20 610 1.0× 241 0.6× 156 0.5× 311 1.1× 573 2.1× 146 2.0k
Keith Ball United Kingdom 22 284 0.4× 79 0.2× 203 0.6× 94 0.3× 382 1.4× 38 1.5k
Thomas Zasĺavsky United States 24 1.2k 1.9× 913 2.4× 72 0.2× 160 0.6× 833 3.0× 92 2.2k

Countries citing papers authored by Alexander Barvinok

Since Specialization
Citations

This map shows the geographic impact of Alexander Barvinok'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 Alexander Barvinok with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Alexander Barvinok more than expected).

Fields of papers citing papers by Alexander Barvinok

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Alexander Barvinok. 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 Alexander Barvinok. The network helps show where Alexander Barvinok may publish in the future.

Co-authorship network of co-authors of Alexander Barvinok

This figure shows the co-authorship network connecting the top 25 collaborators of Alexander Barvinok. A scholar is included among the top collaborators of Alexander Barvinok 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 Alexander Barvinok. Alexander Barvinok is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Barvinok, Alexander. (2019). Approximating real-rooted and stable polynomials, with combinatorial applications. 1–14. 3 indexed citations
2.
Barvinok, Alexander. (2017). Approximating permanents and hafnians. 10 indexed citations
3.
Barvinok, Alexander. (2015). . Theory of Computing. 11(1). 339–355. 10 indexed citations
4.
Barvinok, Alexander. (2014). COMPUTING THE PARTITION FUNCTION FOR GRAPH HOMOMORPHISMS. 15 indexed citations
5.
Barvinok, Alexander, Seung Jin Lee, & Isabella Novik. (2013). Explicit Constructions of Centrally Symmetric $$k$$ -Neighborly Polytopes and Large Strictly Antipodal Sets. Discrete & Computational Geometry. 49(3). 429–443. 2 indexed citations
6.
Barvinok, Alexander & J. A. Hartigan. (2012). An asymptotic formula for the number of non-negative integer matrices with prescribed row and column sums. Transactions of the American Mathematical Society. 364(8). 4323–4368. 12 indexed citations
7.
Barvinok, Alexander, et al.. (2012). Centrally symmetric polytopes with many faces. Israel Journal of Mathematics. 195(1). 457–472. 2 indexed citations
8.
Barvinok, Alexander. (2009). On the number of matrices and a random matrix with prescribed row and column sums and 0–1 entries. Advances in Mathematics. 224(1). 316–339. 36 indexed citations
9.
Barvinok, Alexander. (2008). Integer Points in Polyhedra. 84 indexed citations
10.
Barvinok, Alexander. (2007). Lattice points, polyhedra, and complexity. 19–62. 10 indexed citations
11.
Barvinok, Alexander. (2006). Brunn–Minkowski inequalities for contingency tables and integer flows. Advances in Mathematics. 211(1). 105–122. 8 indexed citations
12.
Barvinok, Alexander. (2002). A Course in Convexity. Graduate studies in mathematics. 234 indexed citations
13.
Barvinok, Alexander. (2002). Estimating L∞ Norms by L2k Norms for Functions on Orbits. Mathematische Annalen. 2(4). 393–412. 12 indexed citations
14.
Barvinok, Alexander. (1997). Measure concentration in optimization. Mathematical Programming. 79(1-3). 33–53. 5 indexed citations
15.
Barvinok, Alexander. (1996). Two Algorithmic Results for the Traveling Salesman Problem. Mathematics of Operations Research. 21(1). 65–84. 52 indexed citations
16.
Barvinok, Alexander. (1995). Problems of distance geometry and convex properties of quadratic maps. Discrete & Computational Geometry. 13(2). 189–202. 130 indexed citations
17.
Barvinok, Alexander. (1992). Optimization Problems on Matroids and Exponential Sums.. 316–333. 1 indexed citations
18.
Barvinok, Alexander. (1992). Computing the volume, counting integral points, and exponential sums. 161–170. 11 indexed citations
19.
Barvinok, Alexander & A. M. Vershik. (1988). Convex hulls of orbits of representations of finite groups and combinatorial optimization. Functional Analysis and Its Applications. 22(3). 224–225. 6 indexed citations
20.
Barvinok, Alexander. (1986). Homological type of spaces of configurations of structurally stable type in C2. Mathematical Notes. 39(1). 60–62. 1 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.

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