Arne Brøndsted

1.3k total citations · 1 hit paper
16 papers, 828 citations indexed

About

Arne Brøndsted is a scholar working on Computational Theory and Mathematics, Geometry and Topology and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Arne Brøndsted has authored 16 papers receiving a total of 828 indexed citations (citations by other indexed papers that have themselves been cited), including 8 papers in Computational Theory and Mathematics, 6 papers in Geometry and Topology and 2 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Arne Brøndsted's work include Optimization and Variational Analysis (6 papers), Fixed Point Theorems Analysis (3 papers) and Advanced Topology and Set Theory (2 papers). Arne Brøndsted is often cited by papers focused on Optimization and Variational Analysis (6 papers), Fixed Point Theorems Analysis (3 papers) and Advanced Topology and Set Theory (2 papers). Arne Brøndsted collaborates with scholars based in Denmark, United States and Bulgaria. Arne Brøndsted's co-authors include R. T. Rockafellar, Carl W. Lee and George M. Maxwell and has published in prestigious journals such as American Mathematical Monthly, Pacific Journal of Mathematics and Proceedings of the American Mathematical Society.

In The Last Decade

Arne Brøndsted

15 papers receiving 630 citations

Hit Papers

align trajectories sort by overperformance

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.

An Introduction to Convex Polytopes

1983 375 citations Arne Brøndsted Graduate texts in mathematics profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Arne Brøndsted Denmark	10	426	269	245	155	143	16	828
H. G. Eggleston United Kingdom	13	233 0.5×	407 1.5×	572 2.3×	98 0.6×	230 1.6×	55	1.2k
Kenneth B. Stolarsky United States	16	287 0.7×	341 1.3×	593 2.4×	239 1.5×	198 1.4×	75	1.2k
Edgar Asplund United States	14	506 1.2×	248 0.9×	288 1.2×	125 0.8×	327 2.3×	22	769
Jon Folkman United States	11	413 1.0×	216 0.8×	52 0.2×	97 0.6×	74 0.5×	20	723
Bruce Reznick United States	16	487 1.1×	258 1.0×	181 0.7×	337 2.2×	124 0.9×	59	946
Tudor Zamfirescu Germany	16	461 1.1×	633 2.4×	311 1.3×	69 0.4×	181 1.3×	119	1.1k
D. G. Larman United Kingdom	16	350 0.8×	313 1.2×	367 1.5×	59 0.4×	192 1.3×	65	927
Stan Wagon United States	14	216 0.5×	177 0.7×	88 0.4×	43 0.3×	92 0.6×	98	682
Werner Fenchel	6	191 0.4×	227 0.8×	275 1.1×	106 0.7×	111 0.8×	8	685
С. А. Абрамов Russia	19	767 1.8×	252 0.9×	186 0.8×	135 0.9×	54 0.4×	107	1.0k

Countries citing papers authored by Arne Brøndsted

Since Specialization

Citations

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

Fields of papers citing papers by Arne Brøndsted

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Arne Brøndsted

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

All Works

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16 of 16 papers shown

1.

Brøndsted, Arne & George M. Maxwell. (1989). A New Proof of the d-Connectedness of d-Polytopes. Canadian Mathematical Bulletin. 32(2). 252–254. 1 indexed citations

2.

Lee, Carl W. & Arne Brøndsted. (1986). An Introduction to Convex Polytopes.. American Mathematical Monthly. 93(9). 750–750. 30 indexed citations

3.

Brøndsted, Arne. (1983). An Introduction to Convex Polytopes. Graduate texts in mathematics. 375 indexed citations breakdown →

4.

Brøndsted, Arne. (1979). Common fixed points and partial orders. Proceedings of the American Mathematical Society. 77(3). 365–368. 15 indexed citations

5.

Brøndsted, Arne. (1979). Common Fixed Points and Partial Orders. Proceedings of the American Mathematical Society. 77(3). 365–365. 5 indexed citations

6.

Brøndsted, Arne. (1977). The inner aperture of a convex set. Pacific Journal of Mathematics. 72(2). 335–340. 27 indexed citations

7.

Brøndsted, Arne. (1977). Intersections of translates of convex sets. Mathematika. 24(1). 122–129. 3 indexed citations

8.

Brøndsted, Arne. (1976). A Note on Best Simultaneous Approximation in Normed Linear Spaces. Canadian Mathematical Bulletin. 19(3). 359–360. 3 indexed citations

9.

Brøndsted, Arne. (1976). Shorter Notes: Fixed Points and Partial Orders. Proceedings of the American Mathematical Society. 60(1). 365–365. 9 indexed citations

10.

Brøndsted, Arne. (1976). Fixed points and partial orders. Proceedings of the American Mathematical Society. 60(1). 365–365. 23 indexed citations

11.

Brøndsted, Arne. (1975). Convexification of conjugate functions.. MATHEMATICA SCANDINAVICA. 36. 131–131. 3 indexed citations

12.

Brøndsted, Arne. (1974). On a lemma of Bishop and Phelps. Pacific Journal of Mathematics. 55(2). 335–341. 111 indexed citations

13.

Brøndsted, Arne. (1972). On the Subdifferential of the Supremum of Two Convex Functions.. MATHEMATICA SCANDINAVICA. 31. 225–225. 18 indexed citations

14.

Brøndsted, Arne. (1966). Milman's Theorem for Convex Functions.. MATHEMATICA SCANDINAVICA. 19. 5–5. 2 indexed citations

15.

Brøndsted, Arne. (1966). Convex Sets and Chebyshev Sets II.. MATHEMATICA SCANDINAVICA. 18. 5–5. 15 indexed citations

16.

Brøndsted, Arne & R. T. Rockafellar. (1965). On the subdifferentiability of convex functions. Proceedings of the American Mathematical Society. 16(4). 605–611. 188 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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