Micha Perles

Micha Perles's AcademicInfluence.com Rankings

Micha Perles

Mathematics

#983

World Rank

#1698

Historical Rank

Group Theory

#298

World Rank

#349

Historical Rank

Algebra

#273

World Rank

#390

Historical Rank

Measure Theory

#3947

World Rank

#4651

Historical Rank

mathematics Degrees

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Mathematics

Why Is Micha Perles Influential?

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According to Wikipedia, Micha Asher Perles is an Israeli mathematician working in geometry, a professor emeritus at the Hebrew University. He earned his Ph.D. in 1964 from the Hebrew University, under the supervision of Branko Grünbaum. His contributions include:The Perles configuration, a set of nine points in the Euclidean plane whose collinearities can be realized only by using irrational numbers as coordinates. Perles used this configuration to prove the existence of irrational polytopes in higher dimensions.The Perles–Sauer–Shelah lemma, a result in extremal set theory whose proof was credited to Perles by Saharon Shelah.The pumping lemma for context-free languages, a widely used method for proving that a language is not context-free that Perles discovered with Yehoshua Bar-Hillel and Eli Shamir.Notable students of Perles include Noga Alon, Gil Kalai, and Nati Linial.

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Micha Perles's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The super-additive solution for the Nash bargaining game (1981) (144)
A variational problem arising in economics (1965) (133)
The Theory of Definite Automata (1963) (132)
The rooted tree embedding problem into points in the plane (1994) (68)
A proof of dilworth’s decomposition theorem for partially ordered sets (1963) (60)
ON THE NUMBER OF SUBGRAPHS OF PRESCRIBED TYPE OF GRAPHS WITH A GIVEN NUMBER OF EDGES* (2007) (55)
Angle Sums of Convex Polytopes. (1967) (49)
Ball polytopes and the Vázsonyi problem (2009) (39)
On lattice polytopes having interior lattice points. (1982) (39)
FACETS AND NONFACETS OF CONVEX POLYTOPES (1967) (32)
Non-existence of super-additive solutions for 3-person games (1982) (27)
Facets and nofacets of convex polytopes (1967) (26)
On the Number of Maximal Regular Simplices Determined by n Points in Rd (2003) (26)
On formai properties oî simple phreise structure grammars (1961) (24)
Extremal theory for convex matchings in convex geometric graphs (1996) (23)
Quotient polytopes of cyclic polytopes part I: Structure and characterization (1980) (17)
A closed (n + 1)-convex set inR2 is a union ofn6 convex sets (1990) (17)
Sets in a euclidean space which are not a countable union of convex subsets (1990) (17)
On the smallest sets blocking simple perfect matchings in a convex geometric graph (2009) (16)
Cell Complexes, Valuations, and the Euler Relation (1970) (15)
At Most 2d+1 Neighborly Simplices in Ed (1984) (13)
On extreme operators in finite-dimensional spaces (1969) (13)
A generalization of Tverberg's Theorem (2007) (13)
Strong General Position (2014) (11)
Some variations on Tverberg’s theorem (2016) (11)
Generalized convex kernels of simply connected Ln sets in the plane (2007) (9)
Staircase Connected Sets (2007) (9)
A Jordan–Brouwer Separation Theorem for Polyhedral Pseudomanifolds (2009) (8)
Blockers for Noncrossing Spanning Trees in Complete Geometric Graphs (2012) (7)
A construction for projectively unique polytopes (1974) (7)
Blockers for Simple Hamiltonian Paths in Convex Geometric Graphs of Even Order (2016) (6)
On Convex Geometric Graphs with no $$k+1$$k+1 Pairwise Disjoint Edges (2014) (5)
On the intersection of edges of a geometric graph by straight lines (1986) (5)
Characterization of Co-blockers for Simple Perfect Matchings in a Convex Geometric Graph (2010) (4)
Tverberg Partitions of Points on the Moment Curve (2017) (4)
On Convex Geometric Graphs with no $k+1$ Pairwise Disjoint Edges (2014) (4)
Reconstruction of the Geometric Structure of a Set of Points in the Plane from Its Geometric Tree Graph (2014) (4)
Relatively convex subsets of simply connected planar sets (2007) (3)
Maximal exponents of polyhedral cones (III) (2013) (3)
Dense sequences of convex polytopes (1970) (3)
A Property of Graphs of Convex Polytopes (1993) (3)
Locally Symmetric Graphs of Girth 4 (2013) (2)
A Planar 3-Convex Set is Indeed a Union of Six Convex Sets (2013) (2)
Intersections of maximal staircase sets (2008) (1)
Forbidden k-Sets in the Plane (2007) (1)
Blockers for Simple Hamiltonian Paths in Convex Geometric Graphs of Even Order (2017) (1)
Locally 3‐Transitive Graphs of Girth 4 (2017) (1)
On the polygonal diameter of the interior, resp. exterior, of a simple closed polygon in the plane (2010) (1)
Touching perfect matchings and halving lines (2018) (1)
An (ℵ₀, k+2)-Theorem for k-Transversals (2022) (1)
No Krasnoselskii number for general sets in $\mathbb{R}^2$. (2020) (0)
Crossing matchings and circuits have maximal length (2019) (0)
$${\varvec{k}}$$k-Bisectors of Finite Planar Sets (2017) (0)
Quotient polytopes of cyclic polytopes part II: Stability of thef-vector and of thek-skeleton (1982) (0)
Assessing Logging Concession Road Prevalence as a Mechanism for Land Use Change in the Republic of the Congo (2014) (0)
Reconstruction of the Geometric Structure of a Set of Points in the Plane from Its Geometric Tree Graph (2016) (0)
Staircase kernels (2008) (0)
On the polygonal diameter (= link diameter) of the interior, resp. exterior, of a simple closed polygon in the plane (2013) (0)
Index of Reviews (1968) (0)
Characterization of Co-blockers for Simple Perfect Matchings in a Convex Geometric Graph (2013) (0)
A condition for flatness of curves in R n (1990) (0)
k -Bisectors of Finite Planar Sets (2017) (0)
No Krasnoselskii Number for General Sets (2021) (0)
A Planar 3-Convex Set is Indeed a Union of Six Convex Sets (2013) (0)
Some variations on Tverberg’s theorem (2016) (0)
Tverberg Partitions of Points on the Moment Curve (2016) (0)
On the smallest sets blocking simple perfect matchings in a convex geometric graph (2012) (0)
Radon stability (2013) (0)
The Production of Just Space: Climate Change and the Future of the New York City Housing Authority (2016) (0)
ON A CONJECTURE OF LINDENSTRAUSS AND PERLES IN AT MOST 6 DIMENSIONS (2009) (0)
No Krasnoselskii number for general sets in R2 (2020) (0)
Radon stability (2013) (0)
Blockers for Simple Hamiltonian Paths in Convex Geometric Graphs of Odd Order (2019) (0)

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What Schools Are Affiliated With Micha Perles?

Micha Perles is affiliated with the following schools:

Hebrew University of Jerusalem

Micha Perles's Academic­Influence.com Rankings

Why Is Micha Perles Influential?

Micha Perles's Published Works

Published Works

Other Resources About Micha Perles

What Schools Are Affiliated With Micha Perles?

Micha Perles's AcademicInfluence.com Rankings