
2016present

Permanental generating functions and sequential importance sampling
, preprint,
(with Persi Diaconis and Ron Graham)

Slow Fibonacci walks, Journal of Number Theory, to appear,
(with Ron Graham and Sam Spiro)

Efficient packings of unit squares in a large square
, Discrete and Computational Geometry, 64, (2020), 690699,
(with R. Graham)

Well dispersed sequences in [0,1]^d
, J. Number Theory, 189, (2018), 124,
(with Ron Graham)

The digraph drop polynomial, in Connections in Discrete Mathematics,
(S. Butler, J. Cooper, G. Hurlbert, eds.) Cambridge University Press, 2018, 86103,
(with Ron Graham)

Sum
sequences modulo n, JCT(A), 158, (2018), 290314,
(with Jon Folkman and Ron Graham)

The drop polynomial of a weighted digraph, JCT(B), 126, (2017), 6282,
(with Ron Graham)

Juggling card sequences, Journal of Combinatorics 8 (2017), 507539,
(with Steve Butler, Jay Cummings, and Ron Graham)

On the discrepancy of circular sequences of reals, J. Number Theory, 164 (2016), 5265,
(with R. L. Graham).

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

Worstcase analysis of the LPT algorithm for single processor scheduling with time restrictions, OR Spectrum, 38(2), (2016), 531540,
(with O. Braun and R. L. Graham).

The matrix cover polynomial,
J. Combinatorics, 7 (2016), 375412,
(with R. L. Graham).
20112015

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

Single processor scheduling with time restrictions,
J. of Scheduling, 17 (2014), 399403,
(with O. Braun and R. Graham).

Inversiondescent polynomials for restricted permutations,
J. of Combinatorial Theory, A, 120, (2013), 366378,
(with Ron Graham).

Generalized Euler sums,
Journal of Combinatorics, 3, (2012), 299316,
(with Ron Graham).

Edge flipping in graphs,
Advances in Applied Mathematics, 48 (2012) 3763,
(with Ron Graham).
20062010
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A symmetric
Eulerian identity
,
Journal of Combinatorics, 1 (2010), 2938,
(with Ron Graham and Don Knuth).

Tiling polygons with lattice triangles
,
Discrete and Computational Geometry, 44, (2010), 898
903,
(with Steve Butler, Ron Graham and Mikl'os Laczkovich).

Descent
polynomials for permutations with bounded drop size
,
European J. Combinatorics, 31, (2010), 18531867,
(with Anders Claesson, Mark Dukes, and Ronald Graham).

Packing equal squares into a large square
,
JCT(A), 116, (2009), 11671175,
(with R. L. Graham).

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

Primitive juggling sequences,
Amer. Math. Monthly, 115, March 2008, 185194,
(with Ron Graham).

Parallelism versus memory allocation in pipelined router
forwarding engines,
Theory Comput. Systems 39 (2006), 829849,
(with R. Graham, J. Mao and G. Varghese).

Universal juggling cycles,
Integers,
Combinatorial Number Theory, B.
Landman, M.B. Nathanson, J. Nesetril, R.J. Nowakowski, C. Pomerance, eds.
(2007), 121130. Also appeared in INTEGERS 7(2) (2007), A8 (electronic) 10
pp.
(with Ron Graham).
 Oblivious and adaptive strategies for the majority and plurality problems,
Algorithmica, 48 (2007), 147157,
(with R. Graham, Jia Mao and Andrew Yao)

Maximizing data locality in distributed systems,
Journal of Computer System Sciences, 72 (December 2006),
13091316,
(with Ronald Graham, Ranjita Bhagwan, Stefan Savage and Geoffrey M. Voelker).
20012005
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 Oblivious strategies for the majority and plurality problems,
Computing and Combinatorics, Lecture Notes in Computer Science, Springer, Berlin (2005), 329338,
(with R. Graham, Jia Mao and Andrew Yao).
The journal version appeared in Algorithmica 48 (2007), 147157.
 Guessing secrets with inner product questions,
Proceedings of the 13th ACMSIAM Symposium on Discrete Algorithms, (2002), 247253,
long version appeared in Internet Math., 1 (2004), no. 2, 177192,
(with R.L. Graham and Linyuan Lu).

Parallelism versus Memory Allocation
in Pipelined Router Forwarding Engines,
SPAA'04, Barcelona, Spain, (2004), 103111,
(with Ronald Graham and George Varghese).
 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).

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

On sparse sets hitting linear forms,
abstract,
Number Theory for the Millennium I,
(Eds. M. A. Bennett et al.), AK Peters, Natick, Massachusetts, (2002), 257272.
(with Paul Erdös and Ronald Graham)

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).

Distance realization problems with applications to Internet tomography,
J. Computer and System Sciences 63 No. 3, (November 2001), 432448,
(with Mark Garrett, Ronald Graham and David Shallcross).

Dynamic location problems with limited lookahead,
Theoretical Computer Science 261 (2001), 213226,
(with Ron Graham).
19962000
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Forced convex ngons in the plane,
Discrete and Computational Geometry 19 (1998), 367371,
(with R.L. Graham).

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

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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Pebbling a chessboard,
Amer. Math. Monthly 102 (1995), 113123,
(with Ron Graham, John Morrison and Andrew Odlyzko).

On the cover polynomial of a digraph,
J. Combinatorial Theory (B) 65 (1995), 273290,
(with R. L. Graham).

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

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

Quasiransom
subsets of Z_{n},
J. Comb. Theory (A) 61 (1992), 6486,
(with R. L. Graham).

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

Universal cycles for combinatorial structures,
Discrete Math. 110 (1992), 4359,
(with P. Diaconis and 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).

Quasirandom tournaments,
J. of Graph Theory 15 (1991), 173198,
(with R.L. Graham).
19861990
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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).

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

Steiner trees on a checkerboard,
Math. Magazine 62 (1989), 8396,
(with Martin Gardner and R. L. Graham).

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).

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).

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

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).

Quantitative forms of a theorem of Hilbert,
J. Combin. Theory Ser. (A) 38 (1985), no. 2, 210216,
(with T.C. Brown, P. Erdös, and R.L. Graham).

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 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).

A new bound for Euclidean Steiner minimal
trees,
Discrete geometry and convexity (New York, 1982), 328346,
Ann. New York Acad. Sci. 440, New York Acad. Sci., New York, 1985,
(with R. L. Graham).

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).

Tiling rectangles with rectangles,
Math. Mag. 55 (1982), no. 5, 286291,
(with E. N. Gilbert, 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).

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).

Efficient realization techniques for network
flow patterns,
Bell System Tech. J. 60 (1981), no. 8, 17711786,
(with R. L. Graham and F. K. Hwang).

On irregularities of distribution of
real sequences,
Proc. Nat. Acad. Sci. U.S.A. 78 (1981), no. 7, part 1, 4001,
longer version: On irregularities of distribution,
Finite and infinite sets, Vol. I, II (Eger, 1981), 181222, Colloq. Math. Soc. János
Bolyai, 37, NorthHolland, Amsterdam, 1984,
(with R. L. Graham).

Recent results in graph decompositions,
Combinatorics (Swansea, 1981), pp. 103123, London Math. Soc. Lecture Note Ser. 52,
Cambridge Univ. Press, CambridgeNew York, 1981,
(with R. L. Graham).

Universal caterpillars,
J. Comb. Th. (B) 31 (1981), 348355,
(with R. L. Graham and J. Shearer).

On the permanents of complements of the direct
sum of identity matrices,
Adv. in Applied Math. 2 (1981), 121137,
(with P. Diaconis, R. L. Graham, and C. L. Mallows).

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 Steiner trees for bounded point sets,
Geometriae Dedicata 11 (1981), 353361,
(with R. L. Graham).
19751980
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On unimodality for linear extensions of partial
orders,
SIAM J. Alg. Disc. Methods 1 (1980), 405410,
(with R. L. Graham and F. C. Fishburn).

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).

Maximum antichains of rectangular arrays,
J. Comb. Theory 27 (1979), 397400,
(with R. L. Graham, P. Erdös, D. J. Kleitman, D. West, and G. Purdy (G. W. Peck)).

On the product of the point and line covering
numbers of a graph,
Annals of the New York Academy of Sciences 319 (1979), 597602,
(with P. Erdös and R. L. Graham).

The number of Baxter permutations,
J. Comb. Th. (A) 24 (1978), 382394,
(with R. L. Graham, V. E. Hoggatt, and M. Kleiman).

Steiner trees for ladders,
Annals of Discrete Math. 2 (1978), 173200,
(with R. L. Graham).

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

On the set of distances determined by the union of
arithmetic progressions,
Ars Combinatoria 1 (1976), 5776,
(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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