
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).

Regularity lemmas for clustering graphs, Advances in Applied Math. 126 (2021) article 101961.

The spectral gap of graphs arising from substring reversals, The Electronic J. of Combinatorics, 24, no. 3 (2017), #P.3.4,
(with J. Tobin)

A strong Harnack inequality for graphs,
Comm. Analysis and Geometry, 25, no. 3, (2017), 557588,
(with S.T. Yau).

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).

A generalized AlonBoppana bound and weak Ramanujan graphs, Electronic Journal of Combinatorics, 23, (2016), Paper #3.4, (20 pages).
The
version in EJC.

Curvature aspects of graphs,
Proc. of AMS, 145 (2017), 20332042,
(with F. Bauer, Y. Lin and Y. Liu).

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

Edge flipping in the complete graphs, Advances in Appl. Math. 69 (2015), 4664,
(with S. Butler, J. Cummings and R. L. Graham).

Discrepancy inequalities for directed graphs
,
Discrete Applied Mathematics, 176 (2014) 3042,
(with F. Kenter).

Harnack inequalities for graphs with nonnegative Ricci curvature
,
J. Math. Anal. Appl. 415 (2014), 25  32,
(with Yong Lin and S.T. Yau).

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

A local clustering algorithm for connection graphs
,
WAW 2013, LNCS 8305, 203219,
(with Mark Kempton).
The journal version appeared in Internet Math., 11 (2015), 333351.

Spectral clustering of graphs with general degrees in the extended planted partition model
,
COLT 2012,
Journal of Machine Learning Research, (2012), 123,
(with K. Chaudhuri and A. Tsiatas).

Edge flipping in graphs,
Advances in Applied Mathematics, 48 (2012) 3763,
(with Ron Graham).

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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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).

Braess's paradox in large sparse graphs,
WINE 2010, LNCS 6484, 194208,
(with Stephen J. Young).

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

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

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.

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

Weighted Laplacians and the Sigma function of a graph,
Quantum Graphs and their Applications,
(B. Berkolaiko et. al. eds), Contemporary Math., AMS, Providence, RI,
93107, 2006
(with Ross Richardson).

The diameter and
Laplacian eigenvalues of directed graphs,
Electronic Journal of Combinatorics 13 (2006), N4, 6 pp.

Complex Graphs and Networks,
CBMS Number 107, AMS Publications, 2006, vii+264pp.,
(with L. Lu)
20012005
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Laplacians
and the Cheeger inequality for
directed graphs,
Annals of Combinatorics, 9 (2005), 119.

Drawing power law graphs,
Proceedings Graph Drawing, New York, 2004, 1217,
(with Reid Andersen, L. Lu).
Paper version, Drawing power law graphs
using a local/global decomposition, appeared in Algorithmica
47 (2007), 379397.

Coupling online and offline analyses for random power law graphs,
Internet Mathematics, 1 (2004), 409461,
(with Lincoln Lu).

The small world phenomenon in hybrid power law graphs,
Complex Networks, (Eds. E. BenNaim et. al.), SpringerVerlag, (2004), 89104,
(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).

The diameter of sparse random graphs,
abstract,
Advances in Applied Math. 26 (2001), 257279,
(with Linyuan Lu).
19962000
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Higher eigenvalues and isoperimetric inequalities on
Riemannian manifolds and graphs,
Communications on Analysis and Geometry 8, (2000), 9691026,
(with A. Grigor'yan and S.T. Yau).

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.

Spanning trees in subgraphs of lattices,
Comtempory Math. 245, Amer. Math. Soc., Providence, R. I., 1999, 201219.

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.
 Isoperimetric inequalities for Cartesian products of graphs,
Combinatorics, Probability and Computing 7 (1998), 141148,
(with Prasad Tetali).

Erdos on Graphs. His Legacy of Unsolved Problems,
A. K. Peters, Wellesley, MA, 1998, xiv+142 pp.,
(with Ron Graham).

Eigenvalue inequalities for graphs and convex subgraphs,
Communications on Analysis and Geometry 5 (1997), 575623,
(with S.T. Yau).

Eigenvalues and diameters for manifolds and graphs,
Tsing Hua Lectures on Geometry and Analysis,
International Press, Cambridge, Massachusetts, 1997, 79106,
(with A. Grigor'yan and S.T. Yau).

Laplacians of graphs and Cheeger's inequalities,
in Combinatorics, Paul Erdos is eighty, Vol. 2 (Keszthely, 1993),
Bolyai Math.
Soc., Budapest, 1996, 157172.
19911995
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Pebbling a chessboard,
Amer. Math. Monthly 102 (1995), 113123,
(with Ron Graham, John Morrison and Andrew Odlyzko).

A Harnack inequality for homogeneous graphs and subgraphs,
Communications on Analysis and Geometry 2
(1994), 627640,
also in Turkish J. Math. 19 (1995), 273290,
(with S.T. Yau).

Eigenvalues of graphs,
Proceedings of the International Congress of Mathematicians (Zurich, 1994),
Birkhäuser Verlag, Berlin, 13331342.

Eigenvalues of graphs and Sobolev inequalities,
Combinatorics, Probability and Computing 4 (1995), 1126,
(with S.T. Yau).

Routing permutations on graphs via matchings,
SIAM J. Discrete Math. 7 (1994) 513530,
(with Noga Alon and R. L. Graham).

Chordal completions of planar graphs,
J. of Comb. Th. (B) 62 (1994), 96106,
(with David Mumford).

Even cycles in directed graphs,
SIAM J. Discrete Math. 7 (1994) 474483,
(with Wayne Goddard and D. J. Kleitman).

The Laplacian of a hypergraph,
in Expanding graphs (Princeton, NY, 1992),
DIMACS Ser. Discrete Math. Theoret.
Comput. Sci., 10, Amer. Math. Soc., Providence, RI, 1993, 2136.

Chordal completions of grids and planar graphs,
in Planar graphs (New Brunswick, NJ, 1991), DIMACS Ser. Discrete Math. Theoret.
Comput. Sci., 9, Amer. Math. Soc., Providence, RI, 1993, 3740,
(with D. Mumford).

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

A note on constructive lower bounds for the Ramsey numbers R(3,t),
J. Comb. Theory (B) 57 (1993), 150155,
(with R. Cleve and P. Dagum).

Laplacian and vibrational spectra for homogeneous graphs,
J. Graph Theory 16 (1992), 605627,
(with Shlomo Sternberg).

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

Subgraphs of a hypercube containing no small even cycles,
J. Graph Theory 16 (1992), 273286.

Graphs with small diameter after edge deletion,
Discrete Applied Math. 37/38 (1992), 7394.

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

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

Improved separators for planar graphs,
Graph Theory, Combinatorics, and Applications, John Wiley and Sons, (1991), 265270.

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).

The Maximum number of edges in 2K_{2}free graphs of bounded degree,
Discrete Math. 81 (1990), 129135,
(with A. Gyarfas, W. T. Trotter and Z. Tuza).

Universal graphs and induceduniversal graphs,
J. Graph Theory 14 (1990) 443454.

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).

Diameters and eigenvalues,
J. of the Amer. Math. Soc. 2 (1989), 187196.

Graphs with small bandwidth and cutwidth,
Discrete Math. 75 (1989), 113119,
(with P.D. Seymour).

A dynamic location problem for graphs,
Combinatorica 9 (1989), 111131,
(with R. L. Graham and M. Saks).

Universal graphs for
boundeddegree trees and planar graphs,
SIAM J. Discrete Math. 2 (1989), 145155,
(with S. Bhatt, F. T. Leighton and A. L. Rosenberg).

On the fractional covering number of hypergraphs,
SIAM J. on Discrete Math. 1 (1988), 4549,
(with Z. Furedi, M. R. Garey and R. L. Graham).

On induced subgraphs of the cube,
J. Comb. Th. (A) 49 (1988), 180187,
(with Z. Furedi, R.L. Graham and P. Seymour).

Pursuitevasion games on graphs,
J. Graph Theory 12 (1988), no. 2, 159167,
(with J.E. Cohen and R.L. Graham).

Labelings of graphs,
Selected Topics in Graph Theory 3, Academic Press, San Diego, CA, 1988, 151168.

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

The maximum number of edges in a 3graph not containing a given star,
Graphs and Combinatorics 3 (1987), 111126,
(with P. Frankl).

Diameters of graphs:
old problems and new results,
Congressus Numerantium 60 (1987), 295317.

Dynamic search in graphs,
Discrete Algorithms and Complexity (1987), 351387,
(with R. L. Graham and M. Saks).

Highly irregular graphs,
J. Graph Theory 11 (1987), 235249,
(with Yousef Alavi, Gary Chartrand, Paul Erdos, R. L. Graham and Ortrud R. Oellermann).

On unavoidable hypergraphs,
J. Graph Theory 11 (1987), 251263,
(with P. Erdos).

Embedding graphs in books: a layout
problem with applications to VLSI design,
SIAM J. Algebraic Discrete Methods 8 (1987), no. 1, 3358,
also in
Graph theory with applications
to algorithms and computer science (Kalamazoo, Mich., 1984), 175188,
WileyIntersci. Publ., Wiley, New York, 1985,
(with F.T. Leighton and A.L. Rosenberg).

Monotone subsequences in (0,1)matrices,
Graphs Combin. 2 (1986), no. 1, 3136,
(with P.C. Fishburn and V.K. Wei).

Some intersection theorems for ordered sets
and graphs,
J. Combin. Theory Ser. (A) 43 (1986), no. 1, 2337,
(with R.L. Graham, P. Frankl, and J.B. Shearer).
19811985
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On the addressing problem for directed graphs,
Graphs Combin. 1 (1985), no. 1, 4150, (with R.L. Graham, and P.M. Winkler).

Strongly connected orientations of mixed multigraphs,
Networks 15 (1985), no. 4, 477484, (with M.R. Garey and R.E. Tarjan).

Extremal subgraphs for two graphs,
J. Combin. Theory (B) 38 (1985), no. 3, 248260, (with P. Erdös and J. Spencer).

Increasing sequences with nonzero
block sums and increasing paths in edgeordered graphs,
Discrete Math. 50 (1984), no. 1, 1528, (with A. R. Calderbank and D. Sturtevant).

Diameter bounds for altered graphs,
J. Graph Theory 8 (1984), no. 4, 511534, (with M. R. Garey).

On unavoidable graphs,
Combinatorica 3 (1983), no. 2, 167176, (with P. Erdös).

Unavoidable stars in 3graphs,
J. Combin. Theory Ser. (A) 35 (1983), no. 3, 252262.

On universal graphs for spanning trees,
Journal of London Math. Soc. 27 (1983), 203211
(with R. L. Graham).

Edgecolored complete graphs with precisely colored subgraphs,
Combinatorica 3 (1983), no. 34, 315324,
(with R.L. Graham).

On the decomposition of graphs into complete
bipartite subgraphs
Studies in Pure Mathematics Akadémiai Kiadó, Budapest, (1983) 95101,
(with P. Erdös and J. Spencer).

On complete bipartite subgraphs contained in
spanning tree complements,
Studies in Pure Mathematics, (ed.inchief P. Erdös) Akadémiai Kiadó, Budapest, (1983)
8390,
(with B. Bollobas and R. L. Graham).

Trianglefree graphs with restricted bandwidth,
Progress in graph theory (Waterloo, Ont., 1982), 175190, Academic Press,
Toronto, ON, 1984,
(with W.T. Trotter, Jr.).

On the minimum dominating pair number of
a class of graphs,
Caribbean J. Math. 1 (1982), no. 2, 7376,
(with R.L. Graham, E.J. Cockayne, and D.J. Miller).

Minimal decompositions of hypergraphs into mutually
isomorphic subhypergraphs,
J. Comb. Th. (A) 32 (1982), 241251,
(with P. Erdös and R. L. Graham).

On graphs which contain all sparse graphs,
Annals of Discrete Math. 12 (1982), 2126,
(with L. Babai, P. Erdös, R. L. Graham, and J. Spencer).

The number of relation graphs,
Bell Laboratories Internal Memorandum, 1982,
(with F. K. Hwang and D. H. Krantz).

Minimal decomposition of all graphs
with equinumerous vertices and edges into mutually isomorphic subgraphs,
Finite and infinite sets, Vol. I, II (Eger, 1981), 171179, Colloq. Math.
Soc. János Bolyai 37, NorthHolland, Amsterdam, 1984,
(with P. Erdös and R. L. Graham).

Some problems and results on labelings of graphs,
The Theory and Applications of Graphs (ed. G. Chartrand), John Wiley and Sons (1981), 255264.

On the bandwidths of a graph and its complement,
The Theory and Applications of Graphs (ed. G. Chartrand), John Wiley and Sons (1981), 243253,
(with P. Z. Chinn, P. Erdös and R. L. Graham).

On trees containing all small trees,
The Theory of Applications of Graphs (ed. by G. Chartrand) John Wiley and
Sons, (1981) 265272, (with R. L. Graham and D. Coppersmith).

Minimal decomposition of graphs into mutually
isomorphic subgraphs,
Combinatorica 1 (1981), 1324,
(with P. Erdös and R. L. Graham).

On the decompositions of graphs,
SIAM J. Alg. Disc. Methods 2 (1981), 112.

Rotatable graceful graphs,
Ars Combinatoria 11 (1981), 239250,
(with F. K. Hwang).
19751980
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On the coverings of graphs,
Discrete Math. 30 (1980), 8993.

On universal graphs,
Annals of the New York Academy of Sciences 319 (1979), 136140,
(with R. L. Graham).

Minimal decompositions of two graphs into pairwise isomorphic subgraphs,
Proceedings of the 10th Southeastern Conf. on Comb., Graph Theory and Computing (1979), 318,
(with P. Erdos, R.L. Graham, S.M. Ulam and F.F. Yao).

On blocking probabilities for a class of linear
graphs,
Bell Systems Tech. J. 57 (1978), 29152925,
(with F. K. Hwang).

A generalization of Takagi's Theorem on
optimal channel graphs,
Bell System Tech. J. 57 (1978), 171178,
(with F. K. Hwang).

On partitions of graphs into trees,
Discrete Math. 23 (1978), 2330.

On graphs which contain all small trees,
J. Comb. Th. (B) 24 (1978), 1423,
(with R. L. Graham).

On graphs which contain all small trees II,
Colloquia Mathematica Societatis János Bolyai, Keszthely, Hungary, (1976), 213223,
(with R. L. Graham and N. Pippenger).
19731975
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On multicolor Ramsey numbers for complete bipartite
graphs,
J. Comb. Th. (B) 18 (1975), 164169,
(with R. L. Graham).

Optimal Rearrangeable graphs,
Bell System Tech. J. 54 (1975), 16471661.

On triangular and cyclic Ramsey numbers with
k colors,
Graphs and Combinatorics, Lecture Notes, No. 406, (1974), 236242, SpringerVerlag, New York.
