26.

**Line-of-Sight Pursuit in Strictly Sweepable Polygons**
(with Lindsay Berry, Jane Butterfield, Volkan Isler, Zachary Keller, Alana Shine and Junyi Wang.)

Submitted.

24.

**The best mixing time for random walks on trees**
(with Jeanmarie Youngblood.)

To Appear in Graphs and Combinatorics.

23.

**A Pursuit-Evasion Toolkit**
(with Narges Noori and Volkan Isler.)

To appear in Robotics & Automation Magazine.

22.

**Network of Thrones**
(with Jie Shan.)

Math Horizons Magazine, Vol. 23, No. 4 (2016) pp. 18-22.

21.

**A hitting time formula for the discrete Green's function**
Combinatorics, Probability and Computing, Vol. 25, (2016) pp. 362-379.

20.

**A leapfrog strategy for pursuit-evasion in polygonal environments**
(with Brendan Ames, Claire Djang, Rosalie Carlson, Volkan Isler, Stephen Ragain and Maxray Savage.)

International Journal on Computational Geometry and Applications, Vol. 25, No. 2, (2015) pp. 77-100.

19.

**Maker-Breaker games on random geometric graphs**
(with Andrjez Dudek, Alan Frieze, Tobais Mueller and Milos Stojakovic.)

Random Structures and Algorithms, Vol. 45, No. 4 (2014), pp. 553-607.

18.

**The Sorting Hat Goes to College**
(with Stan Wagon.)

Mathematics Magazine, Vol. 87, No. 4 (2014) pp. 243-251.

17.

**On the minimum order of k-cop-win graphs**
(with William Baird, Anthony Bonato, Paolo Codenotti, Aaron Maurer, John McCauley and Silviya Valeva.)

Contributions to Discrete Mathematics, Vol. 9, No. 1 (2014), pp. 1-15.

16.

**Visibility Number of Directed Graphs**
(with Maria Axenovich, Joan P. Hutchinson and Douglas B. West.)

SIAM Journal on Discrete Mathematics, Vol 27, No. 3, (2013), 1429--1449.

15.

**Symmetric Rendezvous on the Line with an Unknown Initial Distance**
(with Deniz Ozsoyeller and I. Volkan Isler.)

IEEE Transactions on Robotics, Vol 29, No. 6 (2013), 1366--1379.

14.

**Exact mixing times for random walks on trees**
(with Meng Wang.)

Graphs and Combinatorics, Vol. 29, No. 4 (2013), pp. 757-772.

13.

**Cops and robbers on geometric graphs**
(with Andrzej Dudek, Alan Frieze and Tobias Mueller.)

Combinatorics, Probability and Computing, Vol 21, No 6 (2012), pp. 816-834.

12.

**Symmetric Rendezvous in Planar Environments with and without Obstacles**
(with Deniz Ozsoyeller and I. Volkan Isler.)

Proceedings of AAAI Conference on Artificial Intelligence 2012, AAAI Press, 2012.

10.

**
On the mixing time of geographical threshold graphs
**
(with Milan Bradonjic.)

Discrete Mathematics, Vol 311, No. 23-24 (2011) 2637-2649

9.

**
Connectivity of random cubic sum graphs
**
SIAM Journal on Discrete Mathematics, Vol. 24, No. 3 (2010), 895-909.

8.

**
Exit frequency matrices for finite Markov chains
**
(with László Lovász.)

Combinatorics, Probability and Computing, Vol. 19, No. 4 (2010)
541-560.

7.

**
Memoryless rules for Achlioptas processes
**
(with Tom Bohman, Alan Frieze and Oleg Pikhurko.)

SIAM Journal on Discrete Mathematics, Vol. 23, Issue 2 (2009), pp.
993-1005.

6.

**
Centers for random walks on trees
**
SIAM Journal on Discrete Mathematics, Vol. 23,
Issue 1 (2009), pp. 300-319.

5.

**
Game chromatic index of graphs with given restrictions on degrees
**
(with Tom Bohman, Alan Frieze and Oleg Pikhurko.)

Theoretical Computer Science, 407 (2008), 242-249.

4.

**
On the connectivity of extremal Ramsey graphs
**
(with Oleg Pikhurko.)

Australasian Journal of Combinatorics, 41 (2008), 57-62.

3.

**
Product rule wins a competitive game
**
(with Tom Bohman, Alan Frieze and Oleg Pikhurko.)

Proceedings of the AMS, Volume 135, No. 10 (2007), 3061-3071.

2.

**
Random minimum length spanning trees in regular graphs
**
(with Alan Frieze and Colin McDiarmid.)

Combinatorica 18 (1998), 311-333.

1.

**
Random walks and the regeneration time
**
(with László Lovász.)

J. Graph Theory 29 (1998) 57-62.