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1

Problems

Kuipers, L., Kestelman, H., Schwenk, Allen J., Walter, J., Pittel, Boris, Bach, Eric, Luby, Mike, Shallit, J. O., Palmer, Chester, Hamlin, Dennis, Parris, Richard, Hoyt, John P., Kantrowitz, Mark, Gre

Journal:

Mathematics Magazine

Year:

1984

Language:

english

File:

PDF, 658 KB

english, 1984

2

The birth of the giant component

Svante Janson, Donald E. Knuth, Tomasz Łuczak, Boris Pittel

Journal:

Random Structures & Algorithms

Year:

1993

Language:

english

File:

PDF, 5.17 MB

english, 1993

3

Stable husbands

Donald E. Knuth, Rajeev Motwani, Boris Pittel

Journal:

Random Structures & Algorithms

Year:

1990

Language:

english

File:

PDF, 738 KB

english, 1990

4

Elementary Problems: E3409-E3414

Ioan Tomescu, Peter Freyd, Donald E. Knuth, Boris Pittel, Eric Wepsic, Robert McNaughton and Gerald Myerson

Journal:

American Mathematical Monthly

Year:

1990

Language:

english

File:

PDF, 287 KB

english, 1990

5

The first cycles in an evolving graph

Philippe Flajolet, Donald E. Knuth, Boris Pittel

Journal:

Discrete Mathematics

Year:

1989

Language:

english

File:

PDF, 2.60 MB

english, 1989

6

On Spreading a Rumor

Journal:

SIAM Journal on Applied Mathematics

Year:

1987

Language:

english

File:

PDF, 911 KB

english, 1987

7

E3411

Donald E. Knuth, Boris Pittel and Richard Stong

Journal:

American Mathematical Monthly

Year:

1992

Language:

english

File:

PDF, 249 KB

english, 1992

8

Maximum matchings in sparse random graphs: Karp–Sipser revisited

Jonathan Aronson, Alan Frieze, Boris G. Pittel

Journal:

Random Structures & Algorithms

Year:

1998

Language:

english

File:

PDF, 490 KB

english, 1998

9

On a random graph with immigrating vertices: Emergence of the giant component

David J. Aldous, Boris Pittel

Journal:

Random Structures & Algorithms

Year:

2000

Language:

english

File:

PDF, 186 KB

english, 2000

10

On a random graph evolving by degrees

Journal:

Advances in Mathematics

Year:

2010

Language:

english

File:

PDF, 394 KB

english, 2010

11

The Average Number of Stable Matchings

Journal:

SIAM Journal on Discrete Mathematics

Year:

1989

Language:

english

File:

PDF, 1.25 MB

english, 1989

12

The Structure of a Random Graph at the Point of the Phase Transition

Tomasz Luczak, Boris Pittel and John C. Wierman

Journal:

Transactions of the American Mathematical Society

Year:

1994

Language:

english

File:

PDF, 2.58 MB

english, 1994

13

On Spreading a Rumor

Journal:

SIAM Journal on Applied Mathematics

Year:

1987

Language:

english

File:

PDF, 268 KB

english, 1987

14

A recurrence related to trees

Knuth, Donald E., Pittel, Boris

Journal:

Proceedings of the American Mathematical Society

Year:

1989

Language:

english

File:

PDF, 935 KB

english, 1989

15

How Often Are Two Permutations Comparable?

Adam Hammett and Boris Pittel

Journal:

Transactions of the American Mathematical Society

Year:

2008

Language:

english

File:

PDF, 2.05 MB

english, 2008

16

Distance between two random k-out digraphs, with and without preferential attachment

Peterson, Nicholas R., Pittel, Boris

Journal:

Advances in Applied Probability

Year:

2015

Language:

english

File:

PDF, 185 KB

english, 2015

17

Asymptotic joint distribution of the extremities of a random Young diagram and enumeration of graphical partitions

Journal:

Advances in Mathematics

Year:

2018

Language:

english

File:

PDF, 454 KB

english, 2018

18

A local limit theorem for the number of nodes, the height, and the number of final leaves in a critical branching process tree

Harry Kesten, Boris Pittel

Journal:

Random Structures & Algorithms

Year:

1996

Language:

english

File:

PDF, 1.71 MB

english, 1996

19

On the multiplicity of parts in a random partition

Sylvie Corteel, Boris Pittel, Carla D. Savage, Herbert S. Wilf

Journal:

Random Structures & Algorithms

Year:

1999

Language:

english

File:

PDF, 200 KB

english, 1999

20

The random bipartite nearest neighbor graphs

Boris Pittel, Robert S. Weishaar

Journal:

Random Structures & Algorithms

Year:

1999

Language:

english

File:

PDF, 301 KB

english, 1999

21

On a Likely Shape of the Random Ferrers Diagram

Journal:

Advances in Applied Mathematics

Year:

1997

Language:

english

File:

PDF, 513 KB

english, 1997

22

On-Line Coloring of Sparse Random Graphs and Random Trees

Boris Pittel, Robert S. Weishaar

Journal:

Journal of Algorithms

Year:

1997

Language:

english

File:

PDF, 164 KB

english, 1997

23

Random Set Partitions: Asymptotics of Subset Counts

Journal:

Journal of Combinatorial Theory, Series A

Year:

1997

Language:

english

File:

PDF, 450 KB

english, 1997

24

On the Random Young Diagrams and Their Cores

Nathan Lulov, Boris Pittel

Journal:

Journal of Combinatorial Theory, Series A

Year:

1999

Language:

english

File:

PDF, 290 KB

english, 1999

25

Confirming Two Conjectures About the Integer Partitions

Journal:

Journal of Combinatorial Theory, Series A

Year:

1999

Language:

english

File:

PDF, 127 KB

english, 1999

26

Confirming the Kleitman–Winston Conjecture on the Largest Coefficient in a q-Catalan Number

Jeong Han Kim, Boris Pittel

Journal:

Journal of Combinatorial Theory, Series A

Year:

2000

Language:

english

File:

PDF, 114 KB

english, 2000

27

Sudden Emergence of a Giantk-Core in a Random Graph

Boris Pittel, Joel Spencer, Nicholas Wormald

Journal:

Journal of Combinatorial Theory, Series B

Year:

1996

Language:

english

File:

PDF, 1.12 MB

english, 1996

28

On Tail Distribution of Interpost Distance

Jeong Han Kim, Boris Pittel

Journal:

Journal of Combinatorial Theory, Series B

Year:

2000

Language:

english

File:

PDF, 101 KB

english, 2000

29

On the Largest Component of the Random Graph at a Nearcritical Stage

Journal:

Journal of Combinatorial Theory, Series B

Year:

2001

Language:

english

File:

PDF, 225 KB

english, 2001

30

On growing random binary trees

Journal:

Journal of Mathematical Analysis and Applications

Year:

1984

Language:

english

File:

PDF, 841 KB

english, 1984

31

On the joint distribution of the insertion path length and the number of comparisons in search trees

Hosam M. Mahmoud, Boris Pittel

Journal:

Discrete Applied Mathematics

Year:

1988

Language:

english

File:

PDF, 786 KB

english, 1988

32

Corrigendum

Hosam M. Mahmoud, Boris Pittel

Journal:

Discrete Applied Mathematics

Year:

1991

Language:

english

File:

PDF, 66 KB

english, 1991

33

Analysis of the space of search trees under the random insertion algorithm

Hosam M Mahmoud, Boris Pittel

Journal:

Journal of Algorithms

Year:

1989

Language:

english

File:

PDF, 931 KB

english, 1989

34

Limit shapes for random square Young tableaux

Boris Pittel, Dan Romik

Journal:

Advances in Applied Mathematics

Year:

2007

Language:

english

File:

PDF, 645 KB

english, 2007

35

Counting connected graphs inside-out

Boris Pittel, Nicholas C. Wormald

Journal:

Journal of Combinatorial Theory, Series B

Year:

2005

Language:

english

File:

PDF, 523 KB

english, 2005

36

Corrigendum to “Counting connected graphs inside-out” [J. Combin. Theory Ser. B 93 (2005) 127–172]

Boris Pittel, Nicholas C. Wormald

Journal:

Journal of Combinatorial Theory, Series B

Year:

2008

Language:

english

File:

PDF, 84 KB

english, 2008

37

Existence of a perfect matching in a random (1+e−1)—out bipartite graph

Michał Karoński, Boris Pittel

Journal:

Journal of Combinatorial Theory, Series B

Year:

2003

Language:

english

File:

PDF, 199 KB

english, 2003

38

Asymptotic enumeration of sparse graphs with a minimum degree constraint

Boris Pittel, Nicholas C. Wormald

Journal:

Journal of Combinatorial Theory, Series A

Year:

2003

Language:

english

File:

PDF, 189 KB

english, 2003

39

On the distribution of the number of Young tableaux for a uniformly random diagram

Journal:

Advances in Applied Mathematics

Year:

2002

Language:

english

File:

PDF, 221 KB

english, 2002

40

Phase transition and finite-size scaling for the integer partitioning problem

Christian Borgs, Jennifer Chayes, Boris Pittel

Journal:

Random Structures & Algorithms

Year:

2001

Language:

english

File:

PDF, 324 KB

english, 2001

41

Analysis of Rabin's irreducibility test for polynomials over finite fields

Daniel Panario, Boris Pittel, Bruce Richmond, Alfredo Viola

Journal:

Random Structures & Algorithms

Year:

2001

Language:

english

File:

PDF, 221 KB

english, 2001

42

Large harmonic sets of noncrossing edges for n randomly labeled vertices in convex position

József Balogh, Boris Pittel, Gelasio Salazar

Journal:

Random Structures & Algorithms

Year:

2007

Language:

english

File:

PDF, 271 KB

english, 2007

43

Bootstrap percolation on the random regular graph

József Balogh, Boris G. Pittel

Journal:

Random Structures & Algorithms

Year:

2007

Language:

english

File:

PDF, 289 KB

english, 2007

44

On tree census and the giant component in sparse random graphs

Journal:

Random Structures & Algorithms

Year:

1990

Language:

english

File:

PDF, 1.15 MB

english, 1990

45

Note on the heights of random recursive trees and random m-ary search trees

Journal:

Random Structures & Algorithms

Year:

1994

Language:

english

File:

PDF, 511 KB

english, 1994

46

An upper bound for the solvability probability of a random stable roommates instance

Boris G. Pittel, Robert W. Irving

Journal:

Random Structures & Algorithms

Year:

1994

Language:

english

File:

PDF, 942 KB

english, 1994

47

The distribution of the root degree of a random permutation

Béla Bollobás, Boris Pittel

Journal:

Year:

2009

Language:

english

File:

PDF, 521 KB

english, 2009

48

Counting strongly-connected, moderately sparse directed graphs

Journal:

Random Structures & Algorithms

Year:

2012

Language:

english

File:

PDF, 257 KB

english, 2012

49

On Search Times for Early-Insertion Coalesced Hashing

Pittel, Boris, Yu, Jenn-Hwa

Journal:

SIAM Journal on Computing

Year:

1988

Language:

english

File:

PDF, 970 KB

english, 1988

50

On the Most Probable Shape of a Search Tree Grown from a Random Permutation

Mahmoud, Hosam, Pittel, Boris

Journal:

SIAM Journal on Algebraic and Discrete Methods

Year:

1984

Language:

english

File:

PDF, 942 KB

english, 1984

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