TOPOLOGICAL COMBINATORICS
R. Meshulam, Random balanced Cayley complexes, J. Appl. Comput. Topol., to appear. pdf
R. Meshulam, I. Newman and Y. Rabinovich, Large simple d-cycles in simplicial complexes, Israel J. of Math., to appear. pdf
I. Dinur and R. Meshulam, Near coverings and cosystolic expansion, Arch. Math., 118(2022) 549–561. pdf
G. Kalai and R. Meshulam, Relative Leray numbers via spectral sequences,
Mathematika, 67(2021) 730–737. pdf
O. Beit-Aharon and R. Meshulam,
Spectral expansion of random sum complexes,
Journal of Topology and Analysis, 12(2020) 989-1002. pdf
W. Chacholski, R. Levi and R. Meshulam,
On the topology of complexes of injective words,
J. Appl. Comput. Topol., 4(2020) 29-44. pdf
D. Kozlov and R. Meshulam,
Quantitative aspects of acyclity,
Res. Math. Sci., 60(2019), paper no. 33. pdf
R. Meshulam and S. Zerbib,
On Lusztig-Dupont homology of flag complexes,
Journal of Algebra, 531(2019) 83-101. pdf
I. Barany, R. Meshulam, E. Nevo and M. Tancer,
Pach’s selection theorem does not admit a topological extension,
Discrete Comput. Geom., 60(2018) 420-429. pdf
R. Meshulam and M. Raussen, Homology of spaces
of directed paths in Euclidean pattern spaces.
A Journey through Discrete Mathematics, A Tribute
to Jiri Matousek, Springer (2017), 593-614. pdf
I. Barany, G. Kalai and R. Meshulam,
A Tverberg type theorem for matroids,
A Journey through Discrete Mathematics, A Tribute
to Jiri Matousek, Springer (2017), 115-121. pdf
A. Abu-Fraiha and R. Meshulam,
Betti numbers of complexes with highly connected links,
Journal of Combinatorial Theory Ser. A., 147(2017) 27-40. pdf
A. Lubotzky, R. Meshulam and S. Mozes,
Expansion of building-like complexes,
Groups, Geom. Dyn., 10(2016) 155-175. pdf
A. Lubotzky and R. Meshulam, Random Latin squares and
2-dimensional expanders, Adv. Math., 272(2015) 743-760 pdf
R. Meshulam, Uncertainty Principles and Sum Complexes,
Journal of Algebraic Combinatorics, 40(2014) 887-902. pdf
L. Aronshtam, N. Linial, T. Luczak and R. Meshulam,
Collapsibility and Vanishing of Top Homology in Random
Simplicial Complexes, Discrete Comput. Geom., 49(2013) 317-334. pdf
R. Meshulam, Homology of balanced complexes via the Fourier transform,
Journal of Algebraic Combinatorics, 35(2012) 565-571. pdf
N. Linial, R. Meshulam and M. Rosenthal,
Sum complexes – a new family of hypertrees,
Discrete Comput. Geom., 44(2010) 622-636. pdf
G. Kalai and R. Meshulam, Leray numbers of projections
and a topological Helly type theorem,
J. Topology, 1(2008) 551-556. pdf
R. Meshulam, On the homological dimension of lattices,
Order, 25(2008) 153-155. pdf
R. Meshulam and N. Wallach, Homological connectivity of
random k-dimensional complexes,
Random Struct. Algorithms, 34(2009) 408-417. pdf
A. Lubotzky and R. Meshulam, A Moore bound for simplicial
complexes, Bull. London Math. Soc., 39(2007) 353-358. pdf
G. Kalai and R. Meshulam, Intersections of Leray complexes
and regularity of monomial ideals,
Journal of Combinatorial Theory Ser. A., 113(2006) 1586-1592. ps
R. Aharoni, E. Berger and R. Meshulam, Eigenvalues and homology of
flag complexes and vector representations of graphs,
Geometric and Functional Analysis, 15(2005) 555-566 ps
G. Kalai and R. Meshulam, A topological colorful
Helly theorem, Adv. Math., 191(2005) 305-311. ps
N. Linial and R. Meshulam, Homological connectivity of
random 2-complexes, Combinatorica, 26(2006) 475-487. ps
R. Meshulam, Domination numbers and homology,
Journal of Combinatorial Theory Ser. A., 102(2003) 321-330. ps
N. Alon, G. Kalai, J. Matousek and R. Meshulam, Transversal
numbers for hypergraphs arising in geometry, Adv. Appl.
Math., 29(2002) 79-101 ps
R. Meshulam, The clique complex and hypergraph matching,
Combinatorica, 21 (2001) 89-94. ps
SPACES OF MATRICES
A. Guterman, R. Meshulam and I. Spiridonov, Maximal generalized rank in graphical matrix spaces, Israel J. of Math., to appear. pdf
R. Meshulam, Maximal rank in matrix spaces
via graph matchings, Linear Algebra and Appl., 529(2017) 1-11. pdf
R. Meshulam and P. Semrl, Minimal rank and reflexivity
of operator spaces, Proc. Amer. Math. Soc., 135(2007) 1839-1842. ps
B. Gelbord and R. Meshulam, Spaces of singular matrices and matroid parity,
European J. of Combinatorics, 23(2002) 389-397. ps
R. Meshulam and P. Semrl, Locally linearly dependent operators,
Pacific J. of Math., 203(2001) 441-459. ps
B. Gelbord and R. Meshulam, Spaces of p-vectors of bounded rank,
Israel J. of Math. 126 (2001) 129-139. ps
R. Meshulam and N. Radwan, On linear subspaces of nilpotent elements
in a Lie algebra, Linear Algebra Appl. , 279(1998) 195-199. ps
R. Meshulam, On 2-parameter families of symmetric matrices,
Linear Algebra Appl. , 216(1995) 93-96. pdf
R. Meshulam, Spaces of Hankel matrices over finite fields,
Linear Algebra Appl. , 218(1995) 73-76. ps
S. G. Hwang and R. Meshulam, An inequality for
subpermanents of positive semidefinite hermitian matrices,
Linear and Multilinear Algebra, 38(1995) 177-180. ps
R. Meshulam, On k-spaces of real matrices,
Linear and Multilinear Algebra, 26(1990) 39-41. pdf
R. Meshulam, On two extremal matrix problems,
Linear Algebra Appl. , 114/115(1989) 261-271. pdf
R. Meshulam, On the maximal rank in a subspace of matrices,
Quart. J. Math Oxford, 36(1985) 225-229. pdf
FINITE FOURIER TRANSFORM
R. Meshulam, An uncertainty inequality for finite
abelian groups, European J. of Combinatorics, 27(2006) 63-67. ps
R. Meshulam and A. Wigderson, Expanders in group algebras,
Combinatorica, 24(2004) 659-680. ps
J. Kahn and R. Meshulam, On the number of group-weighted matchings,
J. of Algebraic Combinatorics, 7(1998) 285-290. ps
N. Cohen and R. Meshulam, A geometrical problem arising in a signal
restoration algorithm, J. Fourier Analysis Appl. 4(1998) 643-650. pdf
R. Meshulam, On subsets of finite abelian groups containing no 3-term arithmetic
progressions, Journal of Combinatorial theory Ser. A. , 71(1995) 168-172. ps
R. Meshulam, An uncertainty inequality for groups of order pq,
European J. of Combinatorics, 13(1992) 401-407. pdf
J. Kahn and R. Meshulam, On mod p transversals,
Combinatorica, 11(1991) 17-22. pdf
N. Alon, N. Linial and R. Meshulam, additive bases of
vector spaces over prime fields, Journal of Combinatorial
Theory Ser. A., 57(1991) 203-210. pdf
R. Meshulam, An uncertainty inequality and zero subsums,
Discrete Mathematics, 84(1990) 197-200 pdf
MISCELLANEA
R. Meshulam and J. Sonn, A quantitative version of a lemma of
Shafarevich-Ishkanov, Comm. Algebra, 27(1999) 1255-1259 ps
R. Meshulam, On products of projections,
Discrete Math., 154(1996) 307-310. ps
R. Aharoni, L. Linial and R. Meshulam, On the trace of
incompatible vectors, Congressus Numerantium, 113(1996) 15-18. pdf
M. Katchalski and R. Meshulam, An extremal problem for families
of pairs of subspaces, European J. of Combinatorics, 15(1994) 253-257. ps
R. Meshulam, On families of faces in discrete cubes,
Graphs and Combinatorics, 8(1992) 287-289. ps
N. Alon, D. Kleitman, R. Lipton, R. Meshulam, M. Rabin and J. Spencer,
Set systems with no union of cardinality 0 modulo m,
Graphs and Combinatorics, 7(1991) 97-99. pdf