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2016-present
2011-2015
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From quasirandom graphs to graph limits and graphlets
,
Advances in Applied Math. 56 (2014),
135--174.
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Solving linear systems with boundary conditions using heat kernel pagerank
WAW 2013, LNCS 8305, 203--219,
(with Olivia Simpson).
The journal version appeared in Internet Mathematics, 11 (2015), 449-471.
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A local clustering algorithm for connection graphs
,
WAW 2013, LNCS 8305, 203--219,
(with Mark Kempton).
The journal version appeared in Internet Math., 11 (2015), 333-351.
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Spectral clustering of graphs with general degrees in the extended planted partition model
,
COLT 2012,
Journal of Machine Learning Research, (2012), 1--23,
(with K. Chaudhuri and A. Tsiatas).
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Multi-commodity allocation for dynamic demands using PageRank vectors
,
WAW2012,
LNCS 7323 (2012), 138--152,
(with P. Horn and J. Hughes).
The journal version appeared in Internet Mathematics, 10 (2014), 49--65.
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Braess's paradox in expanders
,
Random Structures and Algorithms, 41 (2012), 451--468,
(with S. J. Young and W. Zhao).
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Hypergraph coloring games and voter models
,
WAW2012, LNCS 7323 (2012), 1--16,
(with Alex Tsiatas).
The
journal version appeared in Internet Mathematics, 10 (2014), 66--86.
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Edge flipping in graphs,
Advances in Applied Mathematics, 48 (2012) 37--63,
(with Ron Graham).
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Diameter
of random spanning trees in a given graph ,
Journal of Graph Theory,
69, (2012), 223--240,
(with P. Horn and L. Lu).
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Dirichlet PageRank and trust-based ranking algorithms,
WAW 2011, LNCS 6732, (2011), 103--114,
(with A. Tsiatas and Wensong Xu).
The journal version,
Dirichlet PageRank and
ranking algorithms based on trust and distrust,
appeared in Internet Mathematics, 9, (2013), 113--134.
2006-2010
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Graph Theory in the information age
,
Notices of AMS, 57, no. 6, July 2010, 726--732.
This article was translated into Chinese and appeared in
Mathematical Advances in Translation, 3, 2010, 207--213.
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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), 43--62,
(with Wenbo Zhao).
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Small
spectral gap in the combinatorial Laplacian implies Hamiltonian,
Annals of Combinatorics, 13, (2010), 403--412,
(with S. Butler).
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Finding and visualizing graph clusters using PageRank optimization,
WAW 2010, LNCS 6516, (2010), 86--97,
(with A. Tsiatas).
The journal version appeared in Internet Mathematics, 8 (2012), 46--72,
(with A. Tsiatas).
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Braess's paradox in large sparse graphs,
WINE 2010, LNCS 6484, 194--208,
(with Stephen J. Young).
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A sharp PageRank algorithm with applications to edge ranking and graph sparsification
WAW 2010, LNCS 6516, 2--14,
(with Wenbo Zhao).
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PageRank
as a discrete Green's function,
Geometry and Analysis, I, ALM 17, (2010), 285--302.
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A local graph
partitioning algorithm using heat kernel pagerank,
WAW 2009,
LNCS 5427, (2009), 62-75.
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Distributing antidote using PageRank vectors
,
Internet Mathematics, 6, (2009), 237--254,
(with Paul Horn and Alexander Tsiatas).
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The giant component
in a random subgraph of a given graph
,
Proceedings of WAW2009, Lecture Notes in Computer Science 5427, 38--49,
(with P. Horn and L. Lu).
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A whirlwind tour of random graphs
,
a survey article in Encyclopedia on Complex Systems, Springer, 2008.
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A network color game
,
WINE 2008, Lecture Notes in Computer Science, Volume 5385 (2008), 522--530,
(with K. Chaudhuri and M. S. Jamall).
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Quasi-random graphs with
given degree sequences,
Random Structures and Algorithms, 12 (2008), 1--19,
(with R. L. Graham).
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Four
Cheeger-type inequalities for graph
partitioning algorithms
,
Proceedings of ICCM, II, (2007), 751--772.
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The heat kernel as the pagerank of a graph
,
PNAS, 105 (50), (2007), 19735--19740.
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Local partitioning for directed graphs using PageRank
,
WAW2007, 166--178,
(with R. Andersen and Kevin Lang).
The full paper is in Internet Mathematics, 5 (2008), 3--22.
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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), 225-244,
(with Paul Horn).
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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), 1--12,
(with R. Andersen).
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Local
graph partitioning using pagerank vectors,
FOCS 2006, 475-486,
(with R. Andersen and K. Lang).
The full paper version,
Using pagerank vectors to locally partition a graph appeared in Internet Mathematics, 4 (2007), 35--64.
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Random walks and local cuts
in graphs,
Linear Algebra and its Applications, 423 (2007), 22--32.
- Oblivious and adaptive strategies for the majority and plurality problems,
Algorithmica, 48 (2007), 147--157,
(with R. Graham, Jia Mao and Andrew Yao)
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Concentration
inequalities and martingale inequalities --- a survey,
Internet Math.,
3 (2006-2007), 79--127,
(with L. Lu).
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Maximizing data locality in distributed systems,
Journal of Computer System Sciences, 72 (December 2006),
1309-1316,
(with Ronald Graham, Ranjita Bhagwan, Stefan Savage and Geoffrey M. Voelker).
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The volume of the giant component of a
random graph with given expected degrees,
SIAM J. Discrete Math. 20 (2006), no. 2, 395--411,
(with L. Lu).
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A brief overview of network algorithms,
J. of Computer and System Sciences 72 (2006), no. 3, 420--424.
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Complex Graphs and Networks,
CBMS Number 107, AMS Publications, 2006, vii+264pp.,
(with L. Lu)
2001-2005
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Laplacians
and the Cheeger inequality for
directed graphs,
Annals of Combinatorics, 9 (2005), 1--19.
- Oblivious strategies for the majority and plurality problems,
Computing and Combinatorics, Lecture Notes in Computer Science, Springer, Berlin (2005), 329--338,
(with R. Graham, Jia Mao and Andrew Yao).
The journal version appeared in Algorithmica 48 (2007), 147--157.
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A spectral Turán theorem,
Combinatorics, Probability and Computing 14 (2005), 755--767.
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Drawing power law graphs,
Proceedings Graph Drawing, New York, 2004, 12--17,
(with Reid Andersen, L. Lu).
Paper version, Drawing power law graphs
using a local/global decomposition, appeared in Algorithmica
47 (2007), 379--397.
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Analyzing
the small world phenomenon using a hybrid model with local network flow,
WAW 2004, Rome, Italy, Lecture Notes in Computer Science,
3234, Springer, 2004, 19--30,
a long version appeared as
Modeling the small-world phenomenon with local network flow,
Internet Mathematics 2 (2006), no. 3, 359--385,
(with Reid Andersen, L. Lu).
- Guessing secrets with inner product questions,
Proceedings of the 13th ACM-SIAM Symposium on Discrete Algorithms, (2002), 247--253,
long version appeared in Internet Math., 1 (2004), no. 2, 177--192,
(with R.L. Graham and Linyuan Lu).
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Parallelism versus Memory Allocation
in Pipelined Router Forwarding Engines,
SPAA'04, Barcelona, Spain, (2004), 103--111,
(with Ronald Graham and George Varghese).
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Coupling online and offline analyses for random power law graphs,
Internet Mathematics, 1 (2004), 409--461,
(with Lincoln Lu).
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Discrete isoperimetric inequalities,
Surveys in Differential Geometry IX, International Press, (2004), 53--82.
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On disjoint path pairs with wavelength continuity constraint in WDM networks,
INFOCOM, 2004,
(with Reid Andersen, Arunabha Sen and Guoliang Xue).
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The small world phenomenon in hybrid power law graphs,
Complex Networks, (Eds. E. Ben-Naim et. al.), Springer-Verlag, (2004), 89--104,
(with Lincoln Lu).
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Generalizations of Polya's urn problem,
Annals of Combinatorics 7 (2003), 141--153,
(with Shirin Handjani and Doug Jungreis).
- Finding Favorites,
Electronic Colloquium on Computational Complexity, Report No. 78 (2003),
(with Ron Graham, Jia Mao and Andrew Yao).
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Eigenvalues of random power law graphs,
Annals of Combinatorics 7 (2003), 21--33,
(with Lincoln Lu and Van Vu).
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The spectra of random graphs with given expected degrees,
short version,
Proceedings of National Academy of Sciences 100, no. 11, (2003), 6313--6318,
long version
(with full proofs) Internet Mathematics 1 (2004), 257--275,
(with Lincoln Lu and Van Vu).
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Duplication models for biological networks,
Journal of Computational Biology 10, no. 5, (2003), 677--688,
(with Lincoln Lu, Gregory Dewey, David J. Galas).
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The average distances in random graphs with given expected degrees,
abstract,
paper (short version),
Proc. National Academy of Sciences 99, no. 25, (December, 2002), 15879--15882,
paper (long version)
,
Internet Mathematics 1 (2003), 91--113,
(with L. Lu).
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Spectral Partitioning with Indefinite Kernels using the Nyström Extension,
European Conference on Computer Vision, 2002, III, 531--542.
Paper version:
Spectral grouping using the Nyström method,
IEEE Transactions on Pattern Analysis and Machine Intelligence
26, No. 2, (2004), 214--225,
(with Charless Fowlkes, Serge Belongie, and Jitendra Malik).
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Connected components in random graphs with given expected degree sequences,
abstract,
Annals of Combinatorics 6 (2002), 125-145,
(with L. Lu).
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Random evolution of massive graphs,
abstract,
Handbook of Massive Data Sets, (Eds. James Abello et al.), Kluwer Academic
Publishers, (2002), 97--122,
extended abstract appeared in FOCS 2001, 510--519,
(with W. Aiello and L. Lu).
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Guessing secrets,
abstract,
Electronic Journal of Combinatorics 8 (2001), R13, 25 pp,
extended
abstract appeared in
Proceedings of the Twelfth Annual ACM-SIAM Symposium on Discrete Algorithms
(Washington, DC, 2001), SIAM, Philadelphia, 723--726,
(with Ron Graham and Tom Leighton).
also, SODA'01, 723--726,
(with Ronald Graham and F. Tom Leighton).
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Distance realization problems with applications to Internet tomography,
J. Computer and System Sciences 63 No. 3, (November 2001), 432--448,
(with Mark Garrett, Ronald Graham and David Shallcross).
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The diameter of sparse random graphs,
abstract,
Advances in Applied Math. 26 (2001), 257--279,
(with Linyuan Lu).
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Dynamic location problems with limited look-ahead,
Theoretical Computer Science 261 (2001), 213--226,
(with Ron Graham).
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Augmented ring networks,
IEEE Transactions on Parallel and Distributed Systems 12 (2001), 598--609,
(with W. Aiello, S. N. Bhatt, A. L. Rosenberg and R. K. Sitaraman).
1996-2000
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A random graph model for massive graphs,
abstract,
Proceedings of the
Thirtysecond Annual ACM Symposium on Theory of Computing
(2000),
171--180,
(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), 53--66.
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Optical wavelength routing, translation, and packet/cell switched networks,
Journal of Lightwave Technology 14, Issue 3, March 1996, 336--343,
(with Krishna Bala and Charles A. Brackett).
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Maximum subsets of $(0,1]$ with no solutions to $x+y=kz$,
Electronic Journal of Combinatorics 3 (1996) R1, 23 pp,
(with John L. Goldwasser).
1991-1995
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1986-1990
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1981-1985
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1975-1980
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1973-1975
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