
2016present

A random graph model for clustering graphs
,
Proceeding of the 18th Workshop on Algorithms and Models for the Web Graph (WAW 2023),
Lecture Notes in Computer Science 13894, Springer, 2023,
pp. 112126,
(with Nick Sieger).

Quasirandom influences of Boolean functions
, preprint,
(with Nick Sieger).

Fancomplete Ramsey numbers
, preprint,
(with Qizhong Lin).

Forest formulas of discrete Green's functions, J. of Graph Theory, 102, (2023), 556577,
(with Ji Zeng).

The maximum relaxation time of a random walk
,
Advances in Applied Math., 101, (2018), 114,
(with S. G. Aksoy, M. Tait and J. Tobin)

Extreme values of the stationary distribution of random walks on directed graphs
,
Advance in Applied Math., 81, (2016), 128155,
(with Sinan Aksoy and Xing Peng).

Decomposition of random graphs into complete bipartite graphs , SIAM J. Discrete Math., 30, no. 1, (2016), 296310,
(with X. Peng).
20112015

A note on an alternating upper bound for random walks on semigroups
,
Discrete Applied Mathematics,
176 (2014), 2429,
(with J. Hughes).

From quasirandom graphs to graph limits and graphlets
,
Advances in Applied Math. 56 (2014),
135174.

Braess's paradox in expanders
,
Random Structures and Algorithms, 41 (2012), 451468,
(with S. J. Young and W. Zhao).

Diameter
of random spanning trees in a given graph ,
Journal of Graph Theory,
69, (2012), 223240,
(with P. Horn and L. Lu).

On the spectra of general random graphs,
Electronic Journal of Combinatorics, 18(1),
(2011), P215, 14 pages,
(with M. Radcliffe).
20062010
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Graph Theory in the information age
,
Notices of AMS, 57, no. 6, July 2010, 726732.
This article was translated into Chinese and appeared in
Mathematical Advances in Translation, 3, 2010, 207213.

PageRank and random walks on graphs
,
Fete of Combinatorics and Computer Science, (G. O. H. Katona, A. Schrijver and T. Szonyi, Eds.),
Springer, Berlin, (2010), 4362,
(with Wenbo Zhao).

Small
spectral gap in the combinatorial Laplacian implies Hamiltonian,
Annals of Combinatorics, 13, (2010), 403412,
(with S. Butler).

PageRank
as a discrete Green's function,
Geometry and Analysis, I, ALM 17, (2010), 285302.

A local graph
partitioning algorithm using heat kernel pagerank,
WAW 2009,
LNCS 5427, (2009), 6275.

The giant component
in a random subgraph of a given graph
,
Proceedings of WAW2009, Lecture Notes in Computer Science 5427, 3849,
(with P. Horn and L. Lu).

A whirlwind tour of random graphs
,
a survey article in Encyclopedia on Complex Systems, Springer, 2008.

A network color game
,
WINE 2008, Lecture Notes in Computer Science, Volume 5385 (2008), 522530,
(with K. Chaudhuri and M. S. Jamall).

Quasirandom graphs with
given degree sequences,
Random Structures and Algorithms, 12 (2008), 119,
(with R. L. Graham).

Four
Cheegertype inequalities for graph
partitioning algorithms
,
Proceedings of ICCM, II, (2007), 751772.

The heat kernel as the pagerank of a graph
,
PNAS, 105 (50), (2007), 1973519740.

Local partitioning for directed graphs using PageRank
,
WAW2007, 166178,
(with R. Andersen and Kevin Lang).
The full paper is in Internet Mathematics, 5 (2008), 322.

The
spectral gap of a random subgraph of a graph,
the
extended abstract appeared in Proceedings of WAW2006, LNCS 4937 and the complete version is in Internet Math, 4 (2007), 225244,
(with Paul Horn).

Detecting sharp
drops in PageRank and a simplified local partitioning algorithm
Theory and Applications of Models of Computation,
Proceedings of TAMC 2007, LNCS 4484, Springer, (2007), 112,
(with R. Andersen).

Local
graph partitioning using pagerank vectors,
FOCS 2006, 475486,
(with R. Andersen and K. Lang).
The full paper version,
Using pagerank vectors to locally partition a graph appeared in Internet Mathematics, 4 (2007), 3564.

Random walks and local cuts
in graphs,
Linear Algebra and its Applications, 423 (2007), 2232.

Concentration
inequalities and martingale inequalities  a survey,
Internet Math.,
3 (20062007), 79127,
(with L. Lu).

The volume of the giant component of a
random graph with given expected degrees,
SIAM J. Discrete Math. 20 (2006), no. 2, 395411,
(with L. Lu).

A brief overview of network algorithms,
J. of Computer and System Sciences 72 (2006), no. 3, 420424.
20012005
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Laplacians
and the Cheeger inequality for
directed graphs,
Annals of Combinatorics, 9 (2005), 119.

De Bruijn cycles for covering codes,
Random Structures and Algorithms, 25, (2004), 421431,
(with J. Cooper).

Coupling online and offline analyses for random power law graphs,
Internet Mathematics, 1 (2004), 409461,
(with Lincoln Lu).
 Finding Favorites,
Electronic Colloquium on Computational Complexity, Report No. 78 (2003),
(with Ron Graham, Jia Mao and Andrew Yao).

Eigenvalues of random power law graphs,
Annals of Combinatorics 7 (2003), 2133,
(with Lincoln Lu and Van Vu).

The spectra of random graphs with given expected degrees,
short version,
Proceedings of National Academy of Sciences 100, no. 11, (2003), 63136318,
long version
(with full proofs) Internet Mathematics 1 (2004), 257275,
(with Lincoln Lu and Van Vu).

The average distances in random graphs with given expected degrees,
abstract,
paper (short version),
Proc. National Academy of Sciences 99, no. 25, (December, 2002), 1587915882,
paper (long version)
,
Internet Mathematics 1 (2003), 91113,
(with L. Lu).

Sparse quasirandom graphs,
abstract,
Combinatorica 22 (2002), 217244,
(with Ronald Graham)

Connected components in random graphs with given expected degree sequences,
abstract,
Annals of Combinatorics 6 (2002), 125145,
(with L. Lu).

Random evolution of massive graphs,
abstract,
Handbook of Massive Data Sets, (Eds. James Abello et al.), Kluwer Academic
Publishers, (2002), 97122,
extended abstract appeared in FOCS 2001, 510519,
(with W. Aiello and L. Lu).

Guessing secrets,
abstract,
Electronic Journal of Combinatorics 8 (2001), R13, 25 pp,
extended
abstract appeared in
Proceedings of the Twelfth Annual ACMSIAM Symposium on Discrete Algorithms
(Washington, DC, 2001), SIAM, Philadelphia, 723726,
(with Ron Graham and Tom Leighton).
also, SODA'01, 723726,
(with Ronald Graham and F. Tom Leighton).

Combinatorics for the East model,
abstract,
Advances in Applied Math. 27 (2001), 192206,
(with Persi Diaconis and Ronald Graham).

The diameter of sparse random graphs,
abstract,
Advances in Applied Math. 26 (2001), 257279,
(with Linyuan Lu).
19962000
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A random graph model for massive graphs,
abstract,
Proceedings of the
Thirtysecond Annual ACM Symposium on Theory of Computing
(2000),
171180,
(with Bill Aiello and Linyuan Lu).
The complete paper version
has a different title
A random graph model for power law graphs,
Experimental Math. 10 (2001), 5366.

Logarithmic Sobolev techniques for random walks on graphs,
Emerging Applications of Number Theory, IMA Volumes in Math. and its Applications
109 (eds. D. A. Hejhal et. al.), 175186, Springer, 1999.

Stratified random walks on an ncube,
Random Structures and Algorithms 11 (1997), 199222,
(with R.L. Graham).

Random walks on generating sets of groups,
Electronic Journal of Combinatorics 4 no. 2, (1997) #R7, 14 pp,
(with R. L. Graham).

On sampling with Markov chains,
Random Structures and Algorithms 9 (1996) 5577.
(with R. L. Graham and S. T. Yau).
19911995
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A report on reliable software and communication,
Bellcore Internal Memorandom 1992.
Paper version titled "Reliable software and communication: An overview",
IEEE J. Selected Areas Comm. 12, no. 1 (1994), 2332.

Communication complexity and quasirandomness,
SIAM J. Discrete Math. 6 (1993), 110123,
(with Prasad Tetali)

On hypergraphs having evenly distributed subhypergraphs,
Disc. Math. 111 (1993), 125129,
(with Ron Graham).

Cohomological aspects of hypergraphs,
Trans. Amer. Math. Soc. 334 (1992), 365388,
(with R. L. Graham).

Maximum cuts and quasirandom graphs,
in Random Graphs, John Wiley and Sons (1992), 2333,
(with R.L. Graham).

Quasirandom set systems,
J. Amer. Math. Soc. 4 (1991), 151196,
(with R. L. Graham).

Constructing randomlike graphs,
Probabilistic Combinatorics and Its Applications, (B. Bollobas ed.), Amer. Math. Soc., Providence, (1991), 2155.

Quasirandom tournaments,
J. of Graph Theory 15 (1991), 173198,
(with R.L. Graham).

Regularity lemmas for hypergraphs and quasirandomness,
Random Structures and Algorithms 2 (1991), 241252.
19861990
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Quasirandom classes of hypergraphs,
Random Structures and Algorithms 1 (1990), 363382.
Corrigendum.

On graphs not containing prescribed induced subgraphs,
in A Tribute to Paul Erdos, Cambridge University Press (1990), 111120,
(with R.L. Graham).

Quasirandom graphs,
a short
version appeared in Proc. Natl. Acad. Sci. USA, 85 (1988), 969970,
a long
version
appeared in Combinatorica 9 (1989), 345362,
(with R. L. Graham and R. M. Wilson).

Quasirandom hypergraphs,
Proc. Natl. Acad. Sci. USA 86 (1989), 81758177,
Long
version appeared in Random Structures
and Algorithms 1 (1990), 105124,
(with R.L. Graham).

Explicit construction of linear sized tolerant networks,
Discrete Math. 72 (1988), 1519,
(with N. Alon).

The diameter of a cycle plus a random matching,
SIAM J. on Discrete Math. 1 (1988), 328333.
(with B. Bollobás)

Random walks arising in random number generation,
Ann. Probab. 15 (1987), no. 3, 11481165,
(with P. Diaconis and R.L. Graham).
19811985
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19751980
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19731975
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