List of Publications
Preprints
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E. Lubetzky, B. Sudakov and V. Vu,
Spectra of lifted Ramanujan graphs, preprint.
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Fox and B. Sudakov,
Dependent Random Choice,
submitted.
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T. Bohman, A. Frieze, M. Krivelevich, P. Loh and B. Sudakov,
Ramsey games with giants,
submitted.
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D. Conlon, J. Fox and B. Sudakov,
An improved bound for the stepping-up lemma , submitted.
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J. Fox and B. Sudakov,
Decompositions into subgraphs of small diameter,
submitted.
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P. Keevash and B. Sudakov,
Pancyclicity of Hamiltonian and highly connected graphs, submitted.
To appear
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P. Loh, O. Pikhurko and B. Sudakov,
Maximizing the number of q-colorings,
Proc. London Math. Soc. , to appear.
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M. Krivelevich, C. Lee and B. Sudakov,
Resilient pancyclicity of random and pseudo-random graphs,
SIAM J. of Discrete Math., to appear.
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D. Conlon, J. Fox and B. Sudakov,
Large almost monochromatic subsets in hypergraphs,
Israel Journal of Mathematics, to appear.
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M. Krivelevich, B. Sudakov, N. Wormald
Regular induced subgraphs of a random graph
, Random Structures and Algorithms, to appear.
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B. Sudakov and J. Vondrak,
A randomized embedding algorithm for trees,
Combinatorica, to appear.
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J. Fox, P. Keevash and B. Sudakov,
Directed graphs without short cycles,
Combinatorics, Probability and Computing, to appear.
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M. Krivelevich, E. Lubetzky and B. Sudakov,
Hamiltonicity thresholds in Achlioptas processes,
Random Structures and Algorithms, to appear.
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N. Alon, B. Bukh and B. Sudakov,
Discrete Kakeya-type problems and small bases,
Israel Journal of Mathematics, to appear.
2010
2009
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N. Alon, A. Shapira and B. Sudakov,
Additive approximation for edge-deletion problems,
Annals of Mathematics 170 (2009), 371-411.
A preliminary version appeared in:
Proc. of the 46-th IEEE FOCS (2005), 419--428.
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J. Fox and B. Sudakov,
Density theorems for bipartite graphs and related Ramsey-type results,
Combinatorica 29 (2009), 153-196.
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M. Krivelevich and B. Sudakov,
Minors in expanding graphs,
Geometric and Functional Analysis 19 (2009), 294-331.
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J. Fox and B. Sudakov,
Two remarks on the Burr-Erdos conjecture
, European J. Combinatorics 30 (2009), 1630-1645.
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M. Krivelevich, B. Sudakov and D. Vilenchik,
On the random satisfiable process,
Combinatorics, Probability and Computing 18 (2009), 775-801.
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D. Conlon, J. Fox and B. Sudakov,
Ramsey numbers of sparse hypergraphs,
Random Structures and Algorithms 35 (2009), 1-14.
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P. Keevash and B. Sudakov,
Triangle packings and 1-factors in oriented graphs
, J. Combinatorial Theory Ser. B 99 (2009), 709-727.
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J. Fox and B. Sudakov,
Paths and stability number in digraphs,
The Electronic J. of Combinatorics 16(1) (2009), N23.
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P. Loh and B. Sudakov,
Constrained Ramsey Numbers,
Combinatorics, Probability and Computing 18 (2009), 247-258.
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J. Fox, P. Loh and B. Sudakov,
Large induced trees in K_r-free graphs,
J. Combinatorial Theory Ser. B 99 (2009), 494-501.
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M. Krivelevich, P. Loh and B. Sudakov,
Avoiding small subgraphs in Achlioptas processes
, Random Structures and Algorithms 34 (2009), 165-195.
A full version of this paper appeared on
arxiv.
2008
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J. Fox and B. Sudakov,
Induced Ramsey-type theorems,
Advances in Mathematics 219 (2008), 1771-1800.
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B. Sudakov and V. Vu,
Local resilience of graphs,
Random Structures and Algorithms 33 (2008), 409-433.
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J. Fox and B. Sudakov,
Ramsey-type problem for an almost monochromatic K_4
, SIAM J. of Discrete Math. 23 (2008), 155-162.
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B. Sudakov and J. Verstraete,
Cycle lengths in sparse graphs, Combinatorica 28 (2008), 357-372.
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J. Fox and B. Sudakov,
Unavoidable patterns,
J. Combinatorial Theory Ser. A 115 (2008), 1561-1569.
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B. Sudakov and J. Vondrak,
How many random edges make a dense hypergraph
non-2-colorable?, Random Structures and Algorithms 32 (2008), 290-306.
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N. Alon, M. Krivelevich and B. Sudakov,
Large nearly regular induced subgraphs,
SIAM J. of Discrete Math. 22 (2008), 1325-1337.
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J. Fox and B. Sudakov,
On a problem of Duke-Erdos-Rodl on
cycle-connected subgraphs,
J. Combinatorial Theory Ser. B 98 (2008), 1056-1062.
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P. Loh and B. Sudakov,
On the strong chromatic number of random graphs,
Combinatorics, Probability and Computing 17 (2008), 271-286.
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T. Bohman, A. Frieze and B. Sudakov,
The game chromatic number of random graphs,
Random Structures and Algorithms 32 (2008), 223-235.
2007
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N. Alon, M. Krivelevich and B. Sudakov,
Embedding nearly-spanning bounded degree trees, Combinatorica 27
(2007), 629-644.
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B. Sudakov,
Ramsey numbers and the size of graphs,
SIAM J. of Discrete Math. 21 (2007), 980-986.
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B. Sudakov,
Making a K_4-free graph bipartite,
Combinatorica 27 (2007), 509-518.
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P. Loh and B. Sudakov,
Independent transversals in locally sparse graphs,
J. Combinatorial Theory Ser. B 97 (2007), 904-918.
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N. Alon and B. Sudakov,
On graphs with subgraphs having large independence numbers,
J. Graph Theory 56 (2007), 149-157.
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B. Bukh and B. Sudakov,
Induced subgraphs of Ramsey graphs with many distinct degrees,
J. Combinatorial Theory Ser. B 97 (2007), 612-619.
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J.H. Kim, B. Sudakov and V. Vu,
Small subgraphs of random regular graphs,
Discrete Mathematics 307 (2007), 1961-1967.
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P. Keevash, D. Mubayi, B. Sudakov and J. Verstraete,
Rainbow Turan Problems,
Combinatorics, Probability and Computing 16 (2007), 109-126.
Erratum to this paper.
2006
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E. Mossel, R. O'Donnell, O. Regev, J. Steif and B. Sudakov,
Non-Interactive Correlation Distillation, Inhomogeneous Markov Chains
and the Reverse Bonami-Beckner Inequality,
Israel Journal of Mathematics 154 (2006), 299-336.
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J. Balogh, P. Keevash and B. Sudakov,
On the minimal degree implying equality of the
largest triangle-free and bipartite subgraphs,
J. Combinatorial Theory Ser. B 96 (2006), 919-932.
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N. Alon, R. Radoicic, B. Sudakov and J. Vondrak,
A Ramsey-type result for the hypercube,
J. Graph Theory 53 (2006), 196-208.
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P. Keevash and B. Sudakov,
On a restricted cross-intersection problem
, J. Combinatorial Theory Ser. A 113 (2006), 1536-1542.
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M. Krivelevich, B. Sudakov and P. Tetali,
On smoothed analysis in dense graphs and formulas,
Random Structures and Algorithms 29 (2006), 180-193.
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M. Krivelevich and B. Sudakov,
Pseudo-random
graphs, in: More Sets, Graphs and Numbers, Bolyai Society Mathematical Studies 15,
Springer, 2006, 199-262.
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P. Keevash, P. Loh and B. Sudakov,
Bounding the number of edges in permutation graphs,
The Electronic J. of Combinatorics 13 (2006), R44.
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P. Keevash and B. Sudakov,
Sparse halves in triangle-free graphs,
J. Combinatorial Theory Ser. B 96 (2006), 614-620.
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N. Alon and B. Sudakov,
H-free graphs of large minimum degree,
The Electronic J. of Combinatorics 13 (2006), R19.
2005
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B. Sudakov, E. Szemeredi and V. Vu,
On a question of Erdos and Moser,
Duke Mathematical Journal 129 (2005), 129-155.
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P. Keevash and B. Sudakov,
On a hypergraph Turan problem of Frankl, Combinatorica 25 (2005), 673-706.
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N. Alon, M. Krivelevich and B. Sudakov,
MaxCut in H-free graphs,
Combinatorics, Probability and Computing 14 (2005), 629-647.
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B. Sudakov,
A
new lower bound for a Ramsey-type problem,
Combinatorica 25 (2005), 487-498.
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A. Frieze, M. Krivelevich and B. Sudakov,
The strong chromatic index of random graphs,
SIAM J. of Discrete Math. 19 (2005), 719-727.
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P. Keevash and B. Sudakov,
The exact Turan number of the Fano plane, Combinatorica
25 (2005), 561-574.
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J. Balogh, P. Keevash and B. Sudakov,
Disjoint representability of sets and their complements,
J. Combinatorial Theory Ser. B 95 (2005), 12-28.
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B. Barak, G. Kindler, R. Shaltiel, B. Sudakov and A. Wigderson,
Simulating Independence: New Constructions of Condensers, Ramsey
Graphs, Dispersers and Extractors,
Proc. of the 37-th ACM STOC (2005), 1-10. Preliminary
full version of this paper.
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B. Sudakov, T. Szabo and V. Vu,
A generalization of Turan's theorem,
J. Graph Theory 49 (2005), 187-195.
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P. Keevash and B. Sudakov,
Set systems with restricted cross-intersections
and the minimum rank of inclusion matrices, SIAM J. of Discrete Math.
18 (2005), 713-727.
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B. Reed and B. Sudakov,
List
coloring when the chromatic number is close to the order of the graph,
Combinatorica 25 (2005), 117-123.
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B. Sudakov,
Large K_r-free subgraphs in K_s-free graphs and some other
Ramsey-type problems, Random Structures and Algorithms 26 (2005), 253-265.
2004
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N. Alon, I. Dinur, E. Friedgut and B. Sudakov,
Graph products, fourier analysis and spectral techniques,
Geometric and Functional Analysis 14 (2004), 913-940.
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N. Alon, J. Balogh, P. Keevash and B. Sudakov,
The
number of edge colorings with no monochromatic cliques,
J. London Mathematical Society 70 (2004), 273-288.
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B. Bollobas, P. Keevash and B. Sudakov,
Multicoloured extremal problems, J. Combinatorial Theory Ser. A
107 (2004), 295-312.
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P. Keevash and B. Sudakov,
Packing
triangles in a graph and its complement, J. Graph Theory 47 (2004),
203-216.
A magma program implementing an algorithm used in this paper can be
downloaded here.
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M. Krivelevich, B. Sudakov and T.Szabo,
Triangle
factors in pseudo-random graphs,
Combinatorica 24 (2004), 403-426.
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N. Alon, R. Beigel, S. Kasif, S. Rudich and B. Sudakov,
Learning
a hidden matching, SIAM J. on Computing 33 (2004), 487-501.
A preliminary version appeared in:
Proc. of the 43rd IEEE FOCS (2002), 197--206.
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B. Bollobas, D. Gamarnik, O. Riordan and B. Sudakov,
On
the value of a random minimum length Steiner tree,
Combinatorica 24 (2004), 187-207.
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P. Keevash, M. Saks, B. Sudakov and J. Verstraete,
Multicolour Turan problems, Advances in Applied Mathematics 33 (2004), 238--262.
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Z. Furedi and B. Sudakov,
Extremal set-systems with restricted k-wise intersections,
J. Combinatorial Theory Ser. A 105 (2004), 143-159.
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P. Keevash and B. Sudakov,
On
the number of edges not covered by monochromatic copies of a fixed graph,
J. Combinatorial Theory Ser. B 90 (2004), 41-53.
2003
-
A. Kostochka and B. Sudakov,
On
Ramsey numbers of sparse graphs
, Combinatorics, Probability
and Computing 12 (2003), 627-641.
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N. Alon, M. Krivelevich and B. Sudakov,
Turan numbers of bipartite graphs and related Ramsey-type questions
, Combinatorics, Probability and Computing 12 (2003), 477-494.
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A. Soshnikov and B. Sudakov,
On the largest eigenvalue of a random subgraph of the hypercube,
Communications in Mathematical Physics 239 (2003), 53-63.
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M. Krivelevich, B. Sudakov and V. Vu,
Covering codes with improved density,
IEEE Transactions on Information Theory 49 (2003), 1812-1815.
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N. Alon, M. Krivelevich and B. Sudakov,
Induced
subgraphs of prescribed size, J. Graph Theory 43 (2003), 239-251.
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M. Krivelevich and B. Sudakov,
Approximate coloring of uniform hypergraphs,
J. of Algorithms 49 (2003), 2--12.
Another
version of this paper with additional results appeared in:
Proc. of the 6th Annual European
Symposium on Algorithms (ESA'98),
Lecture Notes in Computer Science 1461, Springer Verlag
(1998), 477--489.
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N. Alon, B. Bollobas, M. Krivelevich and B. Sudakov,
Maximum cuts and judicious partitions in graphs without short cycles,
J. Combinatorial Theory Ser. B 88 (2003), 329-346.
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B. Sudakov,
Few
remarks on the Ramsey-Turan-type problems, J. Combinatorial Theory
Ser. B 88 (2003), 99-106.
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P.Keevash and B. Sudakov,
Local
density in graphs with forbidden subgraphs, Combinatorics, Probability
and Computing 12 (2003), 139-153.
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M. Krivelevich, B. Sudakov, V. Vu and N. Wormald,
On the probability of independent sets in random graphs, Random
Structures and Algorithms 22 (2003), 1-14.
-
M. Krivelevich and B. Sudakov,
Sparse
pseudo-random graphs are Hamiltonian, J. Graph Theory 42 (2003), 17-33.
-
M. Krivelevich and B. Sudakov,
The
largest eigenvalue of sparse random graphs, Combinatorics, Probability
and Computing 12 (2003), 61-72.
2002
-
M. Krivelevich, B. Sudakov and V. Vu,
Sharp
threshold for network reliability, Combinatorics, Probability and
Computing 11 (2002), 465-474.
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J.H. Kim, B. Sudakov and V. Vu,
On
asymmetry of random graphs and random regular graphs, Random Structures
and Algorithms 21 (2002), 216-224.
-
B. Reed and B. Sudakov,
Asymptotically
the list colouring constants are 1, J. Combinatorial Theory Ser. B
86 (2002), 27-37.
-
B. Reed and B. Sudakov,
List
colouring of graphs with at most  
(2-o(1))
 vertices,
Proc. of the International Congress of Mathematicians,
Vol III (Beijing 2002), Higher Education Press, China, 587-603.
-
V. Grolmusz and B. Sudakov,
On
k-wise set-intersections and k-wise hamming-distances, J. Combinatorial
Theory Ser. A 99 (2002), 180-190.
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N. Alon, B. Sudakov and U. Zwick,
Constructing
worst case instances for semidefinite programming based approximation algorithms,,
SIAM J. Discrete Math 15 (2002), 58-72.
A preliminary version appeared in: Proc. of the 12th Annual ACM-SIAM
SODA, ACM Press (2001), 92-100.
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B. Sudakov, A
note on odd cycle-complete graph Ramsey numbers, The Electronic J.
of Combinatorics 9 (2002), N 1, 4pp.
2001
-
A. Kelmans, D. Mubayi and B. Sudakov,
Asymptotically
optimal tree-packings in regular graphs, The Electronic J. of Combinatorics
8 (2001), R 38, 8pp.
-
M. Krivelevich, R.Nathaniel and B. Sudakov,
Approximating
coloring and maximum independent set in 3-uniform hypergraphs, J. of
Algorithm 41 (2001), 99-113.
An extended abstract appeared in: Proc. of the 12th Annual ACM-SIAM
SODA, ACM Press (2001), 327-328.
-
B. Sudakov,
Nowhere-zero
flows in random graphs, J. Combinatorial Theory Ser. B 81 (2001), 209-223.
-
N. Alon, B. Sudakov and A. Zaks,
Acyclic
edge colorings of graphs, J. Graph Theory 37 (2001), 157-167.
-
M. Krivelevich, B. Sudakov, V. Vu and N. Wormald,
Random
regular graphs of high degree, Random Structures and Algorithms 18
(2001), 346-363.
1995-2000 (prior to my graduation)
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N. Alon and B. Sudakov, Bipartite
subgraphs and the smallest eigenvalue, Combinatorics, Probability and
Computing 9 (2000), 1-12.
-
N. Alon, M. Krivelevich and B. Sudakov, Coloring
graphs with sparse neighborhoods, J. Combinatorial Theory Ser. B. 77
(1999), 73-82.
-
N. Alon and B. Sudakov, On
two segmentation problems, J. of Algorithm 33 (1999), 173-184.
-
N. Alon, M. Krivelevich and B. Sudakov,
List
coloring of random and pseudo-random graphs, Combinatorica 19 (1999),
453-472.
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G. Gutin, B. Sudakov and A. Yeo, Note
on alternating directed cycles, Discrete Mathematics 191 (1998), 101-107.
-
M. Krivelevich and B. Sudakov, The
chromatic numbers of random hypergraphs, Random Structures and Algorithms
12 (1998), 381-403.
-
M. Krivelevich and B. Sudakov, Coloring
random graphs, Information Processing Letters 67 (1998), 71-74.
-
N. Alon, M. Krivelevich and B. Sudakov, Finding
a large hidden clique in a random graph, Random Structures and Algorithms
13 (1998), 457-466.
A preliminary version appeared in: Proc. of the 9th Annual ACM-SIAM
SODA, ACM Press (1998), 594-598.
-
B. Sudakov, A
note on $\tau$-critical linear hypergraphs, Graph and Combinatorics
13 (1997), 281-285.
-
N. Alon, M. Krivelevich and B. Sudakov, Subgraphs
with large cochromatic number, J. Graph Theory 25 (1997), 295-297.
-
N. Alon and B. Sudakov,
Disjoint
Systems, Random Structures and Algorithms 6 (1995), 13-20.
A preliminary version appeared in:
Lecture Notes in Computer Science 781, Springer Verlag (1994), 159-163.