Frank Vallentin

723 total citations
27 papers, 264 citations indexed

About

Frank Vallentin is a scholar working on Computational Theory and Mathematics, Numerical Analysis and Electrical and Electronic Engineering. According to data from OpenAlex, Frank Vallentin has authored 27 papers receiving a total of 264 indexed citations (citations by other indexed papers that have themselves been cited), including 13 papers in Computational Theory and Mathematics, 10 papers in Numerical Analysis and 9 papers in Electrical and Electronic Engineering. Recurrent topics in Frank Vallentin's work include graph theory and CDMA systems (9 papers), Computational Geometry and Mesh Generation (6 papers) and Mathematical Approximation and Integration (6 papers). Frank Vallentin is often cited by papers focused on graph theory and CDMA systems (9 papers), Computational Geometry and Mesh Generation (6 papers) and Mathematical Approximation and Integration (6 papers). Frank Vallentin collaborates with scholars based in Netherlands, Germany and France. Frank Vallentin's co-authors include Christine Bachoc, Annette Schürmann, Hans D. Mittelmann, Etienne de Klerk, David Groß, Mathieu Dutour Sikirić, Jop Briët and Monique Laurent and has published in prestigious journals such as Mathematical Programming, SIAM Journal on Optimization and Linear Algebra and its Applications.

In The Last Decade

Frank Vallentin

24 papers receiving 244 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Frank Vallentin Netherlands	8	112	102	52	39	34	27	264
M. M. Skriganov Russia	10	114 1.0×	148 1.5×	85 1.6×	84 2.2×	26 0.8×	32	424
S. G. Hoggar United Kingdom	11	78 0.7×	61 0.6×	124 2.4×	67 1.7×	52 1.5×	19	354
Борис Сергеевич Кашин Russia	13	153 1.4×	107 1.0×	33 0.6×	20 0.5×	34 1.0×	75	463
Robert Reams United States	10	74 0.7×	179 1.8×	23 0.4×	71 1.8×	59 1.7×	19	282
Plamen Simeonov United States	11	73 0.7×	87 0.9×	19 0.4×	11 0.3×	25 0.7×	44	341
Minerva Catral United States	9	45 0.4×	193 1.9×	27 0.5×	88 2.3×	74 2.2×	37	275
Danylo Radchenko Germany	5	52 0.5×	31 0.3×	26 0.5×	11 0.3×	20 0.6×	21	171
Évelyne Hubert France	13	72 0.6×	212 2.1×	25 0.5×	6 0.2×	146 4.3×	43	433
Milvio Capovani Italy	7	69 0.6×	251 2.5×	58 1.1×	47 1.2×	30 0.9×	13	341
Etsuko Bannai Japan	12	212 1.9×	56 0.5×	172 3.3×	161 4.1×	125 3.7×	47	488

Countries citing papers authored by Frank Vallentin

Since Specialization

Citations

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

Fields of papers citing papers by Frank Vallentin

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Frank Vallentin

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

All Works

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20 of 20 papers shown

Vallentin, Frank, et al.. (2024). The chromatic number of 4-dimensional lattices. Indagationes Mathematicae. 36(4). 988–1004.

Vallentin, Frank, et al.. (2022). A recursive Lovász theta number for simplex-avoiding sets. Research Repository (Delft University of Technology).

Vallentin, Frank, et al.. (2021). Stabilizer extent is not multiplicative. Quantum. 5. 400–400. 24 indexed citations

Sikirić, Mathieu Dutour, Annette Schürmann, & Frank Vallentin. (2017). Rational factorizations of completely positive matrices. Linear Algebra and its Applications. 523. 46–51. 3 indexed citations

Vallentin, Frank, et al.. (2017). New Upper Bounds for the Density of Translative Packings of Three-Dimensional Convex Bodies with Tetrahedral Symmetry. Discrete & Computational Geometry. 58(2). 449–481. 7 indexed citations

Klerk, Etienne de & Frank Vallentin. (2016). On the Turing Model Complexity of Interior Point Methods for Semidefinite Programming. SIAM Journal on Optimization. 26(3). 1944–1961. 12 indexed citations

Vallentin, Frank, et al.. (2016). A QUANTITATIVE VERSION OF STEINHAUS ’ THEOREM FOR COMPACT, CONNECTED, RANK-ONE SYMMETRIC SPACES. 2 indexed citations

Briët, Jop, et al.. (2014). . Theory of Computing. 10(1). 77–105. 10 indexed citations

Vallentin, Frank, et al.. (2014). Fourier Analysis on Finite Groups and the Lovász ϑ-Number of Cayley Graphs. Experimental Mathematics. 23(2). 146–152. 1 indexed citations

10.

Vallentin, Frank, et al.. (2014). Upper bounds for packings of spheres of several radii. Forum of Mathematics Sigma. 2. 19 indexed citations

11.

Vallentin, Frank, et al.. (2014). A semidefinite programming hierarchy for packing problems in discrete geometry. Mathematical Programming. 151(2). 529–553. 7 indexed citations

12.

Vallentin, Frank. (2010). The Grothendieck problem with rank constraint. 4 indexed citations

13.

Mittelmann, Hans D. & Frank Vallentin. (2010). High-Accuracy Semidefinite Programming Bounds for Kissing Numbers. Experimental Mathematics. 19(2). 175–179. 16 indexed citations

14.

Vallentin, Frank. (2008). Symmetry in semidefinite programs. Linear Algebra and its Applications. 430(1). 360–369. 40 indexed citations

15.

Bachoc, Christine & Frank Vallentin. (2008). Optimality and uniqueness of the (4,10,1/6) spherical code. Journal of Combinatorial Theory Series A. 116(1). 195–204. 5 indexed citations

16.

Bachoc, Christine & Frank Vallentin. (2008). Semidefinite programming, multivariate orthogonal polynomials, and codes in spherical caps. European Journal of Combinatorics. 30(3). 625–637. 5 indexed citations

17.

Vallentin, Frank. (2007). Optimal distortion embeddings of distance regular graphs into Euclidean spaces. Journal of Combinatorial Theory Series B. 98(1). 95–104. 2 indexed citations

18.

Sikirić, Mathieu Dutour, et al.. (2007). Classification of eight-dimensional perfect forms. arXiv (Cornell University). 13(3). 21–32. 7 indexed citations

19.

Schürmann, Annette & Frank Vallentin. (2005). . International Mathematics Research Notices. 2005(32). 1937–1937. 2 indexed citations

20.

Vallentin, Frank, et al.. (1998). On the decomposition of lattices. Electronic colloquium on computational complexity. 5.

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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