Micha A. Perles

1.1k total citations
38 papers, 547 citations indexed

About

Micha A. Perles is a scholar working on Geometry and Topology, Computer Graphics and Computer-Aided Design and Computational Theory and Mathematics. According to data from OpenAlex, Micha A. Perles has authored 38 papers receiving a total of 547 indexed citations (citations by other indexed papers that have themselves been cited), including 17 papers in Geometry and Topology, 13 papers in Computer Graphics and Computer-Aided Design and 12 papers in Computational Theory and Mathematics. Recurrent topics in Micha A. Perles's work include Computational Geometry and Mesh Generation (13 papers), Mathematics and Applications (11 papers) and graph theory and CDMA systems (7 papers). Micha A. Perles is often cited by papers focused on Computational Geometry and Mesh Generation (13 papers), Mathematics and Applications (11 papers) and graph theory and CDMA systems (7 papers). Micha A. Perles collaborates with scholars based in Israel, Germany and United States. Micha A. Perles's co-authors include Michael Maschler, Robert J. Aumann, Eliahu Shamir, M. O. Rabin, G. C. Shephard, Yehoshua Bar‐Hillel, Akihisa Tamura, Joram Lindenstrauss, Saharon Shelah and Amos Altshuler and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Transactions of the American Mathematical Society and American Mathematical Monthly.

In The Last Decade

Micha A. Perles

31 papers receiving 457 citations

Peers

Micha A. Perles
Bernard Monjardet France
Vladimir Gurvich United States
Vladimir Gurvich United States
Wansoo T. Rhee United States
J. Flum Germany
Yuval Filmus Israel
Ralph P. Russo United States
A.J.J. Talman Netherlands
Shlomi Rubinstein Israel
Stefan Kratsch Germany
Bernard Monjardet France
Micha A. Perles
Citations per year, relative to Micha A. Perles Micha A. Perles (= 1×) peers Bernard Monjardet

Countries citing papers authored by Micha A. Perles

Since Specialization
Citations

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

Fields of papers citing papers by Micha A. Perles

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Micha A. Perles. 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 Micha A. Perles. The network helps show where Micha A. Perles may publish in the future.

Co-authorship network of co-authors of Micha A. Perles

This figure shows the co-authorship network connecting the top 25 collaborators of Micha A. Perles. A scholar is included among the top collaborators of Micha A. Perles 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 Micha A. Perles. Micha A. Perles 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.
Perles, Micha A., et al.. (2016). Some variations on Tverberg’s theorem. Israel Journal of Mathematics. 216(2). 957–972. 3 indexed citations
2.
Perles, Micha A., et al.. (2016). Tverberg Partitions of Points on the Moment Curve. Discrete & Computational Geometry. 57(1). 56–70.
3.
Loewy, Raphael, Micha A. Perles, & Bit-Shun Tam. (2013). Maximal exponents of polyhedral cones (III). Transactions of the American Mathematical Society. 365(7). 3535–3573. 1 indexed citations
4.
Perles, Micha A., et al.. (2011). On the smallest sets blocking simple perfect matchings in a convex geometric graph. Israel Journal of Mathematics. 187(1). 465–484. 1 indexed citations
5.
Perles, Micha A., et al.. (2008). Staircase kernels. Advances in Geometry. 8(1). 87–100. 1 indexed citations
6.
Perles, Micha A., et al.. (2007). Generalized convex kernels of simply connected L n sets in the plane. Israel Journal of Mathematics. 160(1). 157–171. 4 indexed citations
7.
Perles, Micha A., et al.. (1994). The rooted tree embedding problem into points in the plane. Discrete & Computational Geometry. 11(1). 51–63. 26 indexed citations
8.
Kojman, Menachem, Micha A. Perles, & Saharon Shelah. (1990). Sets in a euclidean space which are not a countable union of convex subsets. Israel Journal of Mathematics. 70(3). 313–342. 7 indexed citations
9.
Perles, Micha A. & Saharon Shelah. (1990). A closed (n + 1)-convex set inR 2 is a union ofn 6 convex sets. Israel Journal of Mathematics. 70(3). 305–312. 7 indexed citations
10.
Perles, Micha A., et al.. (1990). A Condition for Flatness of Curves in R n. American Mathematical Monthly. 97(5). 401–401.
11.
Wills, J. M., Joseph Zaks, & Micha A. Perles. (1982). On lattice polytopes having interior lattice points.. 37. 44–45. 13 indexed citations
12.
Perles, Micha A.. (1982). Non-existence of super-additive solutions for 3-person games. International Journal of Game Theory. 11(3-4). 151–161. 16 indexed citations
13.
Perles, Micha A. & Michael Maschler. (1981). The super-additive solution for the Nash bargaining game. International Journal of Game Theory. 10(3-4). 163–193. 93 indexed citations
14.
Perles, Micha A. & G. C. Shephard. (1974). A construction for projectively unique polytopes. Geometriae Dedicata. 3(3). 2 indexed citations
15.
Perles, Micha A. & G. C. Shephard. (1970). Dense sequences of convex polytopes. Mathematika. 17(1). 28–38. 1 indexed citations
16.
Perles, Micha A. & G. C. Shephard. (1967). Facets and nofacets of convex polytopes. Acta Mathematica. 119(0). 113–145. 22 indexed citations
17.
Perles, Micha A., et al.. (1967). Angle Sums of Convex Polytopes.. MATHEMATICA SCANDINAVICA. 21. 199–199. 22 indexed citations
18.
Perles, Micha A. & G. C. Shephard. (1967). FACETS AND NONFACETS OF CONVEX POLYTOPES. 18 indexed citations
19.
Aumann, Robert J. & Micha A. Perles. (1965). A variational problem arising in economics. Journal of Mathematical Analysis and Applications. 11. 488–503. 94 indexed citations
20.
Perles, Micha A.. (1963). A proof of dilworth’s decomposition theorem for partially ordered sets. Israel Journal of Mathematics. 1(2). 105–107. 29 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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