Ron Aharoni | Academic Influence

Ron Aharoni's AcademicInfluence.com Rankings

Ron Aharoni

Mathematics

#674

World Rank

#1235

Historical Rank

Measure Theory

#3227

World Rank

#3816

Historical Rank

mathematics Degrees

Download Badge

Mathematics

Ron Aharoni's Degrees

PhD Mathematics Technion – Israel Institute of Technology
Masters Mathematics Technion – Israel Institute of Technology
Bachelors Mathematics Technion – Israel Institute of Technology

Similar Degrees You Can Earn

Best Online Bachelor's in Math 2025

Why Is Ron Aharoni Influential?

(Suggest an Edit or Addition)

According to Wikipedia, Ron Aharoni is an Israeli mathematician, working in finite and infinite combinatorics. Aharoni is a professor at the Technion – Israel Institute of Technology, where he received his Ph.D. in mathematics in 1979. With Nash-Williams and Shelah he generalized Hall's marriage theorem by obtaining the right transfinite conditions for infinite bipartite graphs. He subsequently proved the appropriate versions of the Kőnig theorem and the Menger theorem for infinite graphs .

(See a Problem?)

Ron Aharoni'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

Block-iterative projection methods for parallel computation of solutions to convex feasibility problems (1989) (175)
Hall's theorem for hypergraphs (2000) (145)
Minimal non-two-colorable hypergraphs and minimal unsatisfiable formulas (1986) (133)
Ryser's Conjecture for Tripartite 3-Graphs (2001) (98)
Independent systems of representatives in weighted graphs (2007) (85)
Menger’s theorem for infinite graphs (2005) (79)
Rainbow Matchings in r-Partite r-Graphs (2009) (78)
Unfriendly partitions of a graph (1990) (67)
The intersection of a matroid and a simplicial complex (2006) (66)
König's Duality Theorem for Infinite Bipartite Graphs (1984) (54)
On a lemma of Scarf (2002) (48)
Matchings in infinite graphs (1988) (42)
An interior points algorithm for the convex feasibility problem (1983) (42)
Perfect matchings in r-partite r-graphs (2009) (41)
Fractional Kernels in Digraphs (1998) (40)
Menger's theorem for countable graphs (1986) (39)
Eigenvalues and homology of flag complexes and vector representations of graphs (2003) (37)
Binary vectors partially determined by linear equation systems (1997) (37)
On the strength of König's duality theorem for infinite bipartite graphs (1992) (35)
A Tree Version of Kőnig's Theorem (1999) (31)
On a Generalization of the Ryser‐Brualdi‐Stein Conjecture (2013) (30)
Optima of dual integer linear programs (1988) (28)
A General Criterion for the Existence of Transversals (1983) (28)
PATH PARTITIONS AND PACKS OF ACYCLIC DIGRAPHS (1985) (27)
Infinite, highly connected digraphs with no two arc-disjoint spanning trees (1989) (27)
A rainbow version of Mantel's Theorem (2018) (26)
Triangulated Spheres and Colored Cliques (2002) (25)
Infinite matching theory (1991) (25)
Large rainbow matchings in general graphs (2016) (24)
On a theorem of lovász on covers inr-partite hypergraphs (1996) (24)
Vizing's conjecture for chordal graphs (2009) (24)
The Max-Flow Min-Cut theorem for countable networks (2009) (24)
Rainbow triangles and the Caccetta‐Häggkvist conjecture (2018) (23)
Multipartite Hypergraphs Achieving Equality in Ryser’s Conjecture (2014) (22)
Rainbow Fractional Matchings (2018) (22)
The Intersection of Two Infinite Matroids (1998) (19)
Menger's Theorem for Graphs Containing no Infinite Paths (1983) (18)
A Rainbow r-Partite Version of the Erdős–Ko–Rado Theorem (2016) (18)
A problem in rearrangements of (0, 1) matrices (1980) (17)
Uniqueness of the extreme cases in theorems of Drisko and Erdős-Ginzburg-Ziv (2015) (15)
Degree Conditions for Matchability in 3‐Partite Hypergraphs (2016) (14)
Representation of Large Matchings in Bipartite Graphs (2016) (13)
Successive Projections on Hyperplanes (1984) (13)
On a possible extension of Hall's theorem to bipartite hypergraphs (1990) (13)
Eigenvalues of K1,k ‐Free Graphs and the Connectivity of Their Independence Complexes (2016) (13)
On Greene-Kleitman's theorem for general digraphs (1993) (13)
Fair representation by independent sets (2016) (12)
On the Equivalence of Two Conditions for the Existence of Transversals (1983) (12)
Acyclic systems of representatives and acyclic colorings of digraphs (2008) (12)
Menger's Theorem for a Countable Source Set (1994) (11)
Jordan Graphs (1996) (11)
The Effect of Training with Music on Happiness Recognition in Social Anxiety Disorder (2012) (11)
A generalization of Tutte's 1-factor theorem to countable graphs (1984) (10)
A Weak Version of Rota's Bases Conjecture for Odd Dimensions (2011) (10)
Dual integer linear programs and the relationship between their optima (1985) (10)
Fractional matchings and covers in infinite hypergraphs (1985) (9)
A generalization of Tuza's conjecture (2016) (9)
Rainbow independent sets in certain classes of graphs. (2019) (9)
A generalization of the Ahlswede-Daykin inequality (1996) (9)
LP duality in infinite hypergraphs (1990) (9)
Matchings inn-partiten-graphs (1985) (8)
Finding a best approximation pair of points for two polyhedra (2017) (8)
On the Reflexivity of the Space πp(E, F) of p‐Absolutely Summing Operators, 1 ⩽ p < + ∞ (1993) (7)
Fractional covers and matchings in families of weighted d-intervals (2014) (7)
The edge covering number of the intersection of two matroids (2012) (7)
Mathematics, poetry and beauty (2014) (7)
Greene-Kleitman's theorem for infinite posets (1992) (7)
Cooperative Colorings and Independent Systems of Representatives (2015) (7)
On the achievability of the Cramér-Rao bound for Poisson distribution (2001) (7)
Rainbow Sets in the Intersection of Two Matroids (2013) (7)
Music therapy in schools: Working with children of all ages in mainstream and special education (2017) (7)
Kernels in Weighted Digraphs (2014) (6)
Badges and rainbow matchings (2021) (6)
On a conjecture of Stein (2016) (6)
On an obstruction for perfect matchings (1984) (6)
On a Duality Principle in Infinite Bipartite Graphs (1983) (6)
Rainbow Odd Cycles (2020) (6)
Interval covers of a linearly ordered set (1994) (6)
The odd case of Rota's bases conjecture (2015) (6)
Bases in Infinite Matroids (1991) (5)
Rainbow cycles for families of matchings (2021) (5)
Arithmetic for Parents: A Book for Grown-Ups About Children's Mathematics (2015) (5)
Two and a Half Remarks on the Marica-Schönheim Inequality (1993) (5)
Special parity of perfect matchings in bipartite graphs (1990) (4)
Fractionally Balanced Hypergraphs and Rainbow KKM Theorems (2020) (4)
Bipartable graphs (1987) (4)
Cliques in the union of graphs (2015) (4)
Non-uniform degrees and rainbow versions of the Caccetta-H\"aggkvist conjecture (2021) (4)
Covers in partitioned intersecting hypergraphs (2014) (4)
Matchings in graphs of size N1 (1984) (4)
Cooperative Colorings of Trees and of Bipartite Graphs (2018) (4)
Cross-intersecting pairs of hypergraphs (2016) (3)
Paradoxes and Oxymorons (2015) (3)
Ramsey-nice families of graphs (2017) (3)
Choice Functions (2021) (3)
Linkability in Countable-Like Webs (1990) (3)
Optimal fractional matchings and covers in infinite hypergraphs: Existence and duality (1992) (3)
Another Form of a Criterion for the Existence of Transversals (1984) (3)
On a theorem of lovsz on covers in r -partite hypergraphs (1996) (3)
Rainbow paths and rainbow matchings in graphs (2020) (3)
Cooperative Conditions for the Existence of Rainbow Matchings (2020) (3)
A Tree Version of K ¨ Onig's Theorem (2000) (2)
Strongly perfect infinite graphs (1995) (2)
The number of edges in critical strongly connected graphs (1999) (2)
Shifting from meaning to its carrier: A common denominator for three strains of humour (2018) (2)
Strong LP duality in weighted infinite bipartite graphs (1994) (2)
On a criterion for matchability in hypergraphs (1993) (2)
Fractional Planks (2002) (2)
Matchings in infinte graphs (1987) (2)
The Menger property for infinite ordered sets (1988) (2)
$m$-matchings and $m$-covers (2016) (2)
How to Guess Two Letters Correctly (1992) (2)
Group Weighted Matchings in Bipartite Graphs (1995) (2)
Two Disjoint Independent Bases in Matroid-Graph Pairs (2015) (2)
Rainbow Paths and Large Rainbow Matchings (2020) (2)
Finding a best approximation pair of points for two polyhedra (2018) (1)
Reality or Imagination (2015) (1)
Edge-Covers in d-Interval Hypergraphs (2016) (1)
The Cramér-Rao Bound for Poisson Distribution (1996) (1)
A Few Remarks on a Conjecture of Erdős on the Infinite Version of Menger's Theorem (2013) (1)
Fair Representation in the Intersection of Two Matroids (2016) (1)
Circularity: A Common Secret To Paradoxes, Scientific Revolutions And Humor (2016) (1)
Coloring by two-way independent sets (2009) (1)
Laws of Conservation (2015) (1)
Independent Sets in the Union of Two Hamiltonian Cycles (2016) (1)
Extreme Symmetric Doubly Stochastic Matrices (1980) (1)
An observation concerning Ryser's conjecture (1990) (1)
Independence - domination duality (2008) (1)
Detachment of empathy: a common denominator for two theories of humour (2020) (1)
Weighted Domination of Independent Sets (2017) (0)
The Road to Abstraction — Principles of Teaching (2015) (0)
Content and Husk (2015) (0)
Mathematics and Poetry (2015) (0)
The Real Numbers (2015) (0)
Book Review Summaries (2005) (0)
On independent transversals in matroidal Latin rectangles (2013) (0)
A Magic Number (2015) (0)
Cantor's Story (2015) (0)
Independence-domination duality in weighted graphs (2017) (0)
Turing Invents the Computer (2016) (0)
On a lemma of Scarf Ron Aharoni ? and (2002) (0)
On a lemma of S arf (2002) (0)
A rainbow $r$-partite version of the Erd\H{o}s-Ko-Rado theorem (2016) (0)
Kernels in Weighted Digraphs (2013) (0)
Halfway to Infinity: Large Numbers (2015) (0)
What is Mathematics (2015) (0)
A pr 2 01 8 RAINBOW TRIANGLES AND THE CACCETTA-HÄGGKVIST CONJECTURE (2018) (0)
Poetical Ping-Pong (2015) (0)
Large Infinities and Still Larger Ones (2016) (0)
Simple Conjectures, Complex Proofs (2015) (0)
Tight infinite matrices (2023) (0)
The Origin of Antithetical Expressions (2022) (0)
Infinitely Many Numbers Having a Finite Sum (2015) (0)
An Idea from Somewhere Else (2015) (0)
Counting 1-factors in infinite graphs (1990) (0)
Representing Matrices (1980) (0)
An Equilibrium Assignment Model Based on Simulated Delays (1995) (0)
Fractional covers and matchings in families of weighted d-intervals (2016) (0)
Strongly maximal antichains in posets (2011) (0)
Algebra for Parents (2021) (0)
C O ] 2 4 M ay 2 01 8 Rainbow fractional matchings (2018) (0)
The Curious Case of the Ants on the Pole (2015) (0)
Two Disjoint Independent Bases in Matroid-Graph Pairs (2014) (0)
A principle of symmetry in networks (1983) (0)
Improving happiness recognition in human voice among people suffering from social anxiety (2011) (0)
The Most Beautiful Proof (2015) (0)
Strongly maximal matchings and strongly minimal covers (2022) (0)
Strongly maximal matchings in infinite weighted graphs (2009) (0)
The Beauty of Elementary Mathematics (2023) (0)
OPTIMA OF D U A L INTEGER LINEAR PROGRAMS (2005) (0)
Beauty is in the blind spot of the beholder (2021) (0)
The Miracle of Order (2015) (0)
Topological methods for the existence of a rainbow matching (2017) (0)
Order and Beauty (2015) (0)
TWO REMARKS ON THE CACCETTA-HÄGGKVIST CONJECTURE (2021) (0)
Three Types of Mathematics (2015) (0)
Gödel's Incompleteness Theorem (2016) (0)
On the trace of incompatible vectors (2018) (0)
Fourier transform imitations (1997) (0)
An Endless Encounter (2015) (0)
Mathematical Ping-Pong (2015) (0)
The Book in Heaven (2015) (0)
The Power of the Oblique (2015) (0)
To Discover or to Invent (2015) (0)
Strongly Maximal Matchings in Infinite Graphs (2008) (0)
On rainbow matchings in bipartite graphs (2016) (0)
Fair representation in dimatroids (2017) (0)
For the Experienced Hikers (2016) (0)
On a conjecture of Stein (2017) (0)
Multipartite Hypergraphs Achieving Equality in Ryser’s Conjecture (2015) (0)
Why $$\sqrt 2 $$ is Not a Rational Number (2015) (0)
Transversals for ordinal intervals (1987) (0)
Self-Reference and Gödel's Theorem (2015) (0)
Edge-Covers in d-Interval Hypergraphs (2017) (0)
Weighted Domination of Independent Sets (2019) (0)
On theorem of Dénes König (1976) (0)
Poetic Image, Mathematical Image (2015) (0)
Knowing without Knowing (2015) (0)

This paper list is powered by the following services:

Other Resources About Ron Aharoni

en.wikipedia.org

What Schools Are Affiliated With Ron Aharoni?

Ron Aharoni is affiliated with the following schools:

What Are Ron Aharoni's Academic Contributions?

Ron Aharoni is most known for their academic work in the field of mathematics. They are also known for their academic work in the fields of

Ron Aharoni has made the following academic contributions:

Arithmetic for Parents

Image Attributions

Image Source for Ron Aharoni