D. Avis and H. Tiwary, "*A Generalization of Extension
Complexity that Captures P", *February 2014*, *
arXiv:1402.5950

D. Avis and G. Roumanis, "A
Portable Parallel Implementation of the lrs Vertex Enumeration
Code", COCOA 2013, LNCS
8287 (2013) 414-29 pdf

D. Avis, K. Iwama and D. Paku, "Reputation Games for Undirected Graphs", May 2012, Discrete Applied Mathematics (to appear) arXiv:1205.6683v1

D. Avis and H. Tiwary, "*On the Extension Complexity of
Combinatorial Polytopes*", Mathematical
Programming B (to appear) ICALP (1) 2013 57-68. arXiv:1302.2340

D. Avis and O. Friedmann, "*An Exponential Lower Bound for
Cunningham's Rule*", arXiv:1305.3944

Y. Aoshima, D. Avis, T. Deering, Y. Matsumoto, S. Moriyama, "On the Existence of Hamiltonian
Paths for History Based Pivot Rules on Acyclic Unique Sink
Orientations of Hypercubes", Discrete Applied Mathematics, online June 20,
2012, arXiv:1110.3014v2

D. Avis, H. Miyata and S. Moriyama, "Families of Polytopal Digraphs that do not Satisfy the
Shelling Property", Oct. 2011, arXiv:1110.3078v1

CGTA 46 (2013)
382-393, (online Nov. 11, 2012)

D. Avis, K. Iwama and D. Paku, "Verifying Nash Equilibria in PageRank Games on Undirected Web Graphs", ISAAC 2011: 415-424 pdf

D. Avis, P.
Hayden and M. Wilde, "Leggett-Garg
Inequalities
and
the
Geometry
of
the
Cut Polytope,"
arXiv:1004.3818

D. Avis, "Those ubiquitous cut polyhedra". CCCG 2010: 25 pdf

D. Avis, "Recollections on the Discovery of the Reverse Search Technique", LA Symposium 55(2010) 14-16 pdf

D. Avis, S. Moriyama and M. Owari, "From Bell Inequalities to Tsirelson's Theorem", IECIE E92-A (2009)1254-67 pdf

D. Avis and S. Moriyama, "On Combinatorial Properties of Linear Program Digraphs", in Polyhedral Computation, CRM-AMS Proceedings, 48(2009) 1-14 (Les Cahiers du Gerad, G-2008-08) pdf

D. Avis, G. Rosenberg, R. Savani, B. von Stengel, "Enumeration of Nash Equilibria for Two-Player Games", Economic Theory 42(2009) 9-37 pdf

D. Avis, H. Miyata, S. Moriyama, " A Family of Polytopal Digraphs that do not Satisfy the Shelling Property", 6-th Japanese-Hungarian Symposium, June 2009,11 pages pdf

D. Avis and A. Broadbent, "The Quantum Locker Puzzle", ICQNM09, Cancun, February 2009, 4 pages. pdf

M. Ohsaki, N. Katoh, T. Kinoshita,S. Tanigawa, D. Avis and I. Streinu,"Enumeration of Optimal Pin Jointed Bistable Compliant Mechanisms with Non-Crossing Members" J. of Structural and Multidisciplinary Optimization,37(2009) 645-65. pdf

D. Avis, P. Hayden and I. Savov, "Distributed Compression and Multiparty Squashed Entanglement", J. Phys. A Math. Theor. 41, 115301, 25 pages,(2008), pdf

D. Avis, P. Fischer, A. Hilbert, A. Khrennikov, "Complete account of randomness in the EPR-Bohm-Bell experiment", Vaxjo Conference on Foundations of Probability and Physics-5, August 2008, 14 pages. http://arxiv.org/abs/0806.0445

D. Avis and B. Kaluzny, "Computing Disjoint Paths on Polytopes", Journal of Combinatorial Optimization 16 (2008) 328-343. pdf

D. Avis, H. Imai and T. Ito,"Generating Facets of the Cut Polytope by Triangular Elimination", Mathematical Programming 112(2008)303-25. pdf

D. Avis, N. Katoh, M. Ohsaki, I. Streinu and S. Tanigawa, "Enumerating Constrained Non-crossing Minimally Rigid Frameworks", Discrete and Computational Geometry 40 (2008) 31-46 pdf

D. Avis, P. Hayden and I. Savov, "Multiparty Distributed Compression of Quantum Information", ICQNM08, Martinique, February 2008, 7 pages. pdf

D. Avis, "Quantum Correlations: From Bell inequalities to Tsirelson's Theorem", Proc. International Workshop on Combinatorics 2007, Yokohama, June 2007. pdf

D. Avis, N. Katoh, M. Ohsaki, I. Streinu and S. Tanigawa, "Enumerating Planar Minimally Rigid Graphs", Graphs and Combinatorics 23 (2007) 117-134. pdf

D.Avis, A. Bondy, W. Cook and B. Reed, "Vasek Chvatal: A Short Introduction", Graphs and Combinatorics 23 (2007) 41-66. pdf

D. Avis and T. Ito, "Comparison of Two Bounds of the Quantum Correlation Set", ICQNM07, Guadeloupe, January 2007. pdf

D. Avis and T. Imamura, "A List Heuristic for Vertex Cover", Operations Research Letters 35 (2007) 201-4. ps

D. Avis and T. Ito, "Polyhedral and Semidefinite Approaches to Classical and Quantum Bell Inequalities", AQIS 2006, Beijing, Sep 2006, 2 pages pdf

N. Katoh, M. Ohsaki, T. Kinoshita, S. Tanigawa, D. Avis and I. Streinu, "Enumeration of Optimal Pin-Jointed Bistable Mechanisms", 4th China-Japan-Korea Symp. of Structural and Mechanical Systems, Kunming, Nov 2006, 6 pages. pdf

D. Avis, H. Imai and T. Ito, "On the Relationship Between Convex Bodies Related to Correlation Experiments with Dichotomic Observables", Journal of Physics A 39 (2006) 11283-99, pdf

T. Ito, H. Imai and D. Avis, "Bell Inequalities Stronger than the CHSH Inequality for Three-level Isotropic States", Physical Review A 73(4) (2006) 042109(9 pages) pdf

D. Avis, J. Hasegawa, Y. Kikuchi and Y. Sasaki, " A Quantum Protocol to Win the Graph Colouring Game on all Hadamard Graphs", Proceedings of the IEICE E89A (2006) 1378-81. pdf

D. Avis, C. De Simone, and B. Reed, "On the fractional chromatic index of a graph and its complement",

Operations Research Letters, vol 33, pp. 385-388 (2005) pdf

D. Avis and B. Kaluzny, "Solving Inequalities and Farkas' Lemma Made Easy", AMS Mathematical Monthly, vol 111, pp 152-157(2004) ps

D. Avis, "On the Complexity of Testing Hypermetric, Negative Type, k-gonal and Gap Inequalities",

Lecture Notes in Computer Science, LNCS 2866, pp 51-59 (2003). ps

ICMS 2002, Ed. A. Cohen, X-S Gao, N. Takayama, World Scientific, pp.350-360 (2002) ps

D. Avis and V. Chvatal, "On a Conjecture of Baiou and Balinski", DIMACS Technical Report 2002-08, March 2002. ps

D. Avis, C. De Simone, P. Nobili, "On the Chromatic Polynomial of a Graph", Mathematical Programming, vol B 92, pp. 439-452(2002) ps

D. Avis and A. Deza, "On the Solitaire Cone and its Relationship to Multicommodity Flows" Mathematical Programming, Vol. 90, pp. 27-57 (2001). ps.

D. Avis and A. Deza, "On the Binary Solitaire Cone", Discrete Applied Mathematics, Vol. 115, pp. 3-14 (2001) ps

D. Avis, K. Hosono, M. Urabe, "On the Existence of a Point Subset with a 4 or 5 Interior Points," Lecture Notes in Computer Science, Vol. 1763, pp. 57-64 (2000) ps.

- D. Avis, S. Onn, and A. Deza, "A Combinatorial Approach to the
Solitaire Game",
IEICE Trans. on Fund. of Electronics, Communications
and Computer Sciences E83-A, pp. 656-661(2000). .ps

D. Avis, "Living with
lrs," Lecture Notes
in Computer Science, Vol. 1763, pp. 47-56 (2000)
ps

D. Avis, "lrs: A
Revised Implementation of the Reverse Search Vertex
Enumeration Algorithm," In: Polytopes - Combinatorics and Computation, G.
Kalai & G. Ziegler eds., Birkhauser-Verlag, DMV Seminar Band
29, pp. 177-198 (2000) .ps

D. Avis, "Computational
Experience with the Reverse Search Vertex Enumeration
Algorithm," Optimization
Methods
and Software, Vol. 10, pp.107-124 (1998) ps.

D. Avis, D. Bremner, and R. Seidel, "How Good are Convex Hull Algorithms?," Computational Geometry: Theory and
Applications, Vol. 7, pp. 265-301 (1997). ps

D. Avis, "Generating Rooted Triangulations Without Repetitions," Algorithmica, Vol. 16, pp.618-632(1996).pdf.

D. Avis and Chiu Ming Kong, "Generating
Rooted Triangulations with Minimum Degree Four," Technical Report, Vol. SOCS
96.9, McGill University, (1996). ps.

T. Ono, Y. Kyoda, T. Masada, K. Hayase, T. Shibuya, M. Inaba,
H. Imai, K. Imai, and D. Avis, "A Package for Triangulations (Video)," in Proc. 12th Annual ACM Symp. on
Comput. Geom., ACM Press, Philadelphia, PA (1996). ps.

D. Avis and D. Bremner, "How Good are Convex Hull Algorithms?," pp. 20-28 in Proc. 11th Annual ACM Symp. on Comput. Geom., (June 1995). .ps

- .D. Avis and M. Houle, "Computational Aspects of Helly's Theorem and its Relatives," International Journal of Computational Geometry & Applications, Vol. 5, pp. 357-367 (1995). ps

- .D. Avis and H. Maehara, "Metric Extensions and the L1-Hierarchy," Discrete Mathematics, Vol. 131, pp. 17-28 (1994). ps

- .D. Avis, "A C Implementation of the Reverse Search Vertex Enumeration Algorithm," in RIMS Kokyuroku 872, ed. H. Imai, Kyoto University (May 1994). ps

- .D. Avis and V. P. Grishukhin, "A Bound on the k-gonality of Facets of the Hypermetric Cone and Related Complexity Problems," Computational Geometry: Theory and Applications, Vol. 2, pp. 241-254 (1993). ps

- .D. Avis, "The m-Core Properly Contains the m-Divisible Points in Space," Pattern Recognition Letters, Vol. 14, pp. 703-705 (1993). ps

- .D. Avis and K. Fukuda, "A Pivoting Algorithm for Convex Hulls and Vertex Enumeration of Arrangements and Polyhedra," Discrete and Computational Geometry, Vol. 8, pp. 295-313 (1992).ps

- .D. Avis and M. Deza, "The Cut Cone, L1-Embedability, Complexity and Multicommodity Flows," Networks, Vol. 21, pp. 595-617 (1991). ps

- .D. Avis, P. Erdos, and J. Pach, "Distinct Distances Determined by a Subset of Points in Space," Computational Geometry: Theory and Applications, Vol. 1, pp. 1-12 (1991). ps

- .D. Avis, "On the Complexity of Isometric Embedding in the Hypercube," Proc. SIGAL Int. Symp. on Algorithms, pp. 348-357 Springer-Verlag, (1990). ps

- .D. Avis and M. Doskas, "Algorithms for High Dimensional Stabbing Problems," Discrete Applied Math., Vol. 27, pp. 39-48 (1990). ps

- .D. Avis and Mutt, "All the Facets of The Six Point Hamming Cone," European Journal of Combinatorics, Vol. 10, pp. 309-312 (1989). ps

- .D. Avis, J-M. Robert, and R. Wenger, "Lower Bounds for Line Stabbing," Information Processing Letters, Vol. 33, pp. 59-62 (1989). ps

D. Avis, B. K. Bhattacharya, and H. Imai、"Computing the Volume of the Union of Spheres", The Visual Computer, (1988) 3:323-328 pdf

- .D. Avis and C. W. Lai, "The Probabilistic Analysis of a Heuristic for the Assignment Problem," SIAM Journal on Computing, Vol. 17, pp. 732-741(1988).ps

- .D. Avis and R. Wenger, "Algorithms for Line Transversals in Space," Proceedings of the 3rd ACM Conference on Computational Geometry, pp. 300-307 (1987). ps

- .D. Avis and H. ElGindy, "Triangulating Point Sets in Space," Discrete and Computational Geometry, Vol. 2, pp. 99-111 (1987). ps

- .D. Avis, "Space Partitioning and its Application to Generalized Retrieval Problems," pp. 237-249 in Foundations of Data Organization, ed. S.Ghosh, Y. Kambayashi, K. Tanaka, Plenum Press (1987). ps

D. Avis and D. Rappaport, "Computing the Largest Empty Convex Subset of a Set of Points" Proc. 1st ACM Symposium on Computational Geometry, pp. 161-167, 1985.pdf

D. Avis, "A Note on Some Computationally Difficult Set Covering Problems, " Mathematical Programming 18 (1980) 138-145. pdf

D. Avis, "On the Extreme Rays of the Metric Cone," Can. J. Math, Vol 32, pp 126-144, 1980. pdf

D. Avis and M. Newborn,

D. Avis and V. Chvatal, "*Notes on Bland's Pivoting Rule*,"
**Math Prog. Study**, Vol 8, pp.24-34, 1978 pdf

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