Publications
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Computational Group Theory and Applications to Cryptography
- Bilal Khan, Alexei Miasnikov, Denis Serbin. Positive Theories of Fully Residually Free Groups. Journal of Computation and Algebra (accepted) 2005
. - Bilal Khan. Positively Generated Subgroups of Free Groups and the Hanna Neumann Conjecture. Proceedings of the Special Session on Combinatorial and Computational Group Theory, American Mathematical Society Contemporary Mathematics Series, 2002. Robert Gilman et al. Editors
. - Bilal Khan. The Structure of Automorphic Conjugacy in the Free Group of Rank Two. Proceedings of the Special Session on Interactions between Logic, Group Theory and Computer Science, American Mathematical Society Contemporary Mathematics Series, 2003. Alexandre Borovik et al. Editors
. - Delaram Kahrobaei, Bilal Khan. A Non-Commutative Generalization of ElGamal Key Exchange using Polycyclic Groups. Proceedings of IEEE Globecom 2006
. - Bilal Khan. On the Gromov Hyperbolicity of the Automorphism Graph of the Free Group of Rank Two (in preparation).
- Toshiaki Jitsukawa, Bilal Khan, Alexei Miasnikov.On the Hanna Neumann Conjecture (in preparation)
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- Bilal Khan, Joel Sandin.Transitive Signatures (in preparation).
- Delaram Kahrobaei, Bilal Khan.Signatures Schemes using Polycyclic Groups (in preparation).
- Bilal Khan, Delaram Kahrobaei.One Way Automorphisms (in preparation).
- Bilal Khan, Alex Miasnikov.Computational Experiments on Discrete Logarithm (in preparation).
- Joel Sandin, Bilal Khan. Petrifying Worm Cultures: Scalable Detection and Immunication in Untrusted Environments. Proceedings of 2007 IEEE International Conference on Communications (ICC 2007), Glasgow Scotland.
. - Jamie Levy, Bilal Khan. Hiding Your Wares: Transparently Retrofitting Memory Confidentiality into Legacy Applications. Proceedings of 2007 IEEE International Conference on Communications (ICC 2007), Glasgow Scotland.
. - Jamie Levy, Bilal Khan. Permutations Codes for Covert Channels over IP (in Preparation).
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Graph Theory, Combinatorics, and Related Algorithms
- Bilal Khan, Kiran Bhutani, Delaram Kahrobaei.A Graphic Generalization of Arithmetic. Electronic Journal of Combinatorial Number Theory (accepted) 2006
. - Kiran Bhutani, Bilal Khan.Distance Between Graphs Using Graph Labelings. Ars Combinatoria (accepted)
. - Kiran Bhutani, Bilal Khan.A Metric on the Class of Connected Simple Graphs of Given Order. Aequationes Mathematicae (accepted)
. - Kiran R. Bhutani, Bilal Khan, A Metric Representing Dilation Between Connected Simple Graphs Of a Given Order (in preparation)
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- Bilal Khan, Kiran Bhutani, Delaram Kahrobaei. Graphic Arithmetic II: Additive Irreducibility, Canonical Decompositions and Cancellation Laws (in preparation).
- Bilal Khan, Kiran Bhutani.On Sparse Golbach Sets (in preparation).
- Bilal Khan, Kiran Bhutani.Ultracompressible Graphs and Dynamic Network Personalities (in preparation).
Optical Network Protocols for Signalling, Routing, and Management
- Abdella Battou, Ghassen Ben Brahim, Bilal Khan.The Optical Network Control Plane. Chapter 5 in Optical Switching/Networking and Computing for Multimedia Systems. A. Battou, M. Guizani Editors. Marcel-Dekker 2002
. - A. Battou, B. Khan, D. C. Lee, S. Mountcastle, D. Talmage, and S. Marsh. CASiNO: component architecture for simulating network objects.Software Practice and Experience, vol. 32, 2002. pp. 1099-1128
. - A. Battou, B. Khan, D. C. Lee, S. Marsh, S. Mountcastle, and D. Talmage. SEAN for modeling and simulating ATM Signaling.Transactions of the Society for Computer Simulation International, vol. 78, Issue 4, April 2002
. - Abdella Battou, Kiran Bhutani, Bilal Khan. Two Approaches for Aggregation of Peer Group Topology in Hierarchical PNNI Networks .International Journal of Intelligent Automation and Soft Computing, Autosoft Press, 2000
. - Abdella Battou, Bilal Khan, Sean Mountcastle. PNNI and the Optimal Design of High-speed ATM Networks. Journal of Informatica, vol. 23(3), 1999
. - Baruch Awerbuch, Yi Du, Bilal Khan, and Yuval Shavitt. Routing Through Networks with Hierarchical Topology Aggregation. Journal of High Speed Networks, vol. 7(1):57-73, 1998
. - Bilal Khan, Dardo D. Kleiner, David Talmage and Abdella Battou.The Effect of Wavelength Advertisement on the Performance of an Optical Routing Protocol. Proceedings of IEEE Globecomm 2004, Dallas Texas, December 2004
. - Bilal Khan, Dardo D. Kleiner, and David Talmage.OPTIPRISM: A Distributed Hierarchical Network Management System for All-Optical Networks. Proceedings of 2001 IEEE GLOBECOMM, San Antonio, Texas; November 26-29, 2001
. - Bilal Khan, Dardo D. Kleiner, David Talmage. Towards a Distributed Hierarchical Network Management System for All-Optical Networks.Proceedings of 3rd International Workshop on Mobile Agents and Telecommunications Applications, Ecole Polytechnique, Montreal Canada; August 14-16, 2000. (Lecture Notes in Computer Science Series)
. - Bilal Khan, David Talmage, Sean Mountcastle, Abdella Battou, Spencer Marsh.Introducing PRouST: The PNNI Routing and Simulation Toolkit. Proceedings of 2001 IEEE Workshop on High Performance Switching and Routing, Dallas, Texas; May 29-31, 2001
. - Ghassen Ben Brahim, Bilal Khan, Abdella Battou, Mohsen Guizani, Ghulam Chaudhry. Routing Protocols for Optical Networks.Proceedings of 2000 IEEE GLOBECOMM, San Francisco, California; November 27-December 1, 2000
. - Ghassen Ben Brahim, Bilal Khan, Abdella Battou, Mohsen Guizani, Ghulam Chaudhry. TRON: The Toolkit for Routing in Optical Networks. Proceedings of 2000 IEEE GLOBECOMM, San Francisco, California; November 27-December 1, 2000
. - Abdella Battou, Bilal Khan, Daniel Lee, Spencer Marsh, Sean Mountcastle, David Talmage. Introducing SEAN: The Signaling Entity for ATM Networks. Proceedings of 2000 IEEE GLOBECOMM, San Francisco, California; November 27-December 1, 2000. pp. 532-537
. - Bilal Khan, Dardo Kleiner, David Talmage. CHIME: The Cellular Hierarchy Information Modeling Environment. Proceedings of International Conference on Parallel and Distributed Computing and Systems 2000, Las Vegas, Nevada; November 6-9, 2000
. - Abdella Battou, Bilal Khan, Daniel Lee, Spencer Marsh, Sean Mountcastle, David Talmage. CASiNO: A Component Architecture for Simulation of Network Objects. Proceedings of the 1999 Symposium on Performance Evaluation of Computer and Telecommunication Systems, Chicago, Illinois; July 11-15, 1999. pp. 261-272
. - Baruch Awerbuch, Yi Du, Bilal Khan and Yuval Shavitt.Routing Through Networks with Topology Aggregation. Proceedings of the Third IEEE Symposium on Computers and Communications Athens, Greece; June 29-July 2, 1998
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