Marilyn Breen

792 total citations
112 papers, 622 citations indexed

About

Marilyn Breen is a scholar working on Computer Graphics and Computer-Aided Design, Computational Theory and Mathematics and Geometry and Topology. According to data from OpenAlex, Marilyn Breen has authored 112 papers receiving a total of 622 indexed citations (citations by other indexed papers that have themselves been cited), including 57 papers in Computer Graphics and Computer-Aided Design, 50 papers in Computational Theory and Mathematics and 46 papers in Geometry and Topology. Recurrent topics in Marilyn Breen's work include Computational Geometry and Mesh Generation (57 papers), Advanced Graph Theory Research (30 papers) and Point processes and geometric inequalities (29 papers). Marilyn Breen is often cited by papers focused on Computational Geometry and Mesh Generation (57 papers), Advanced Graph Theory Research (30 papers) and Point processes and geometric inequalities (29 papers). Marilyn Breen collaborates with scholars based in United States, Japan and Germany. Marilyn Breen's co-authors include David C. Kay, Tudor Zamfirescu and Timothy D. Ross and has published in prestigious journals such as Annals of the New York Academy of Sciences, American Mathematical Monthly and Pacific Journal of Mathematics.

In The Last Decade

Marilyn Breen

88 papers receiving 395 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Marilyn Breen United States	14	240	236	215	202	122	112	622
Jürgen Bokowski Germany	14	166 0.7×	180 0.8×	113 0.5×	185 0.9×	24 0.2×	62	491
József Solymosi Canada	13	286 1.2×	195 0.8×	101 0.5×	210 1.0×	46 0.4×	75	653
Rade T. Živaljević Serbia	12	295 1.2×	203 0.9×	61 0.3×	120 0.6×	215 1.8×	41	522
Meir Katchalski Israel	14	228 0.9×	121 0.5×	178 0.8×	303 1.5×	27 0.2×	58	524
Helge Tverberg Norway	12	235 1.0×	134 0.6×	75 0.3×	154 0.8×	34 0.3×	27	469
Nets Hawk Katz United States	14	184 0.8×	174 0.7×	327 1.5×	101 0.5×	255 2.1×	30	774
Imre Leader United Kingdom	15	398 1.7×	309 1.3×	79 0.4×	43 0.2×	137 1.1×	71	706
J. E. Reeve United Kingdom	5	94 0.4×	121 0.5×	71 0.3×	91 0.5×	22 0.2×	10	330
Patrice Assouad France	7	114 0.5×	126 0.5×	134 0.6×	82 0.4×	123 1.0×	10	383
T. Kővári United Kingdom	10	320 1.3×	245 1.0×	147 0.7×	43 0.2×	36 0.3×	16	564

Countries citing papers authored by Marilyn Breen

Since Specialization

Citations

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

Fields of papers citing papers by Marilyn Breen

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Marilyn Breen

This figure shows the co-authorship network connecting the top 25 collaborators of Marilyn Breen. A scholar is included among the top collaborators of Marilyn Breen 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 Marilyn Breen. Marilyn Breen 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

1.

Breen, Marilyn. (2023). Radon and Carathéodory type theorems for staircase convexity. Aequationes Mathematicae. 97(3). 501–510. 1 indexed citations

2.

Breen, Marilyn. (2023). A Tverberg type theorem for staircase convexity. Aequationes Mathematicae. 98(3). 739–750. 1 indexed citations

3.

Breen, Marilyn. (2012). Generating the kernel of a staircase starshaped set from certain staircase convex subsets. Periodica Mathematica Hungarica. 64(1). 29–37.

4.

Breen, Marilyn. (2010). Characterizing certain staircase convex sets in .. 51(1). 251–261. 7 indexed citations

5.

Breen, Marilyn. (2006). A Helly Theorem For Intersections Of Sets Starshaped Via Staircase n-Paths.. Ars Combinatoria. 78(2). 464–464. 1 indexed citations

6.

Breen, Marilyn. (2005). A Helly-type theorem for countable intersections of starshaped sets. Archiv der Mathematik. 84(3). 282–288. 6 indexed citations

7.

Breen, Marilyn. (2003). A Helly theorem for intersections of orthogonally starshaped sets. Archiv der Mathematik. 80(6). 664–672. 6 indexed citations

8.

Breen, Marilyn. (1996). A Helly-type theorem for simple polygons. Geometriae Dedicata. 60(3). 4 indexed citations

9.

Breen, Marilyn. (1994). An improved Krasnosel'skii-type theorem for orthogonal polygons which are starshaped via staircase paths. Journal of Geometry. 51(1-2). 31–35. 18 indexed citations

10.

Breen, Marilyn. (1994). Krasnosel'skii-type theorems for dent edges in orthogonal polygons. Archiv der Mathematik. 62(2). 183–188.

11.

Breen, Marilyn. (1990). Starshaped unions and nonempty intersections of convex sets in 𝑅^{𝑑}. Proceedings of the American Mathematical Society. 108(3). 817–820. 6 indexed citations

12.

Breen, Marilyn. (1989). Finitely starlike sets whose F-stars have positive measure. Journal of Geometry. 35(1-2). 19–25. 2 indexed citations

13.

Breen, Marilyn. (1983). Some tilings of the plane whose singular points form a perfect set. Proceedings of the American Mathematical Society. 89(3). 477–479. 3 indexed citations

14.

Breen, Marilyn. (1982). Clear visibility and the dimension of kernels of starshaped sets. Proceedings of the American Mathematical Society. 85(3). 414–414. 12 indexed citations

15.

Breen, Marilyn. (1982). A quantitative Krasnosel'skii theorem in R d. Geometriae Dedicata. 12(2). 2 indexed citations

16.

Breen, Marilyn. (1981). Admissible kernels for starshaped sets. Proceedings of the American Mathematical Society. 82(4). 622–628. 2 indexed citations

17.

Breen, Marilyn. (1979). A Helly-Type Theorem for the Dimension of the Kernel of a Starshaped Set. Proceedings of the American Mathematical Society. 73(2). 233–233. 1 indexed citations

18.

Breen, Marilyn. (1975). A characterization of the kernel of a closed set. Proceedings of the American Mathematical Society. 51(2). 431–433. 1 indexed citations

19.

Breen, Marilyn. (1975). Intersections of m-Convex Sets. Canadian Journal of Mathematics. 27(6). 1384–1391.

20.

Breen, Marilyn. (1975). Points of Local Nonconvexity and Finite Unions of Convex Sets. Canadian Journal of Mathematics. 27(2). 376–383. 4 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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