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2020 – today
- 2022
[j57]Jie Xue
, Yuan Li, Saladi Rahul, Ravi Janardan:
New Bounds for Range Closest-Pair Problems. Discret. Comput. Geom. 68(1): 1-49 (2022)- 2020
- [j56]Akash Agrawal, Yuan Li, Jie Xue, Ravi Janardan:
The most-likely skyline problem for stochastic points. Comput. Geom. 88: 101609 (2020) - [j55]Jie Xue, Yuan Li, Ravi Janardan:
Approximate range closest-pair queries. Comput. Geom. 90: 101654 (2020) - [j54]Jie Xue, Yuan Li, Saladi Rahul, Ravi Janardan:
Searching for the closest-pair in a query translate. J. Comput. Geom. 11(2): 26-61 (2020)
2010 – 2019
- 2019
- [j53]Jie Xue, Yuan Li, Ravi Janardan:
On the expected diameter, width, and complexity of a stochastic convex hull. Comput. Geom. 82: 16-31 (2019) - [j52]Yuan Li, Ahmed Eldawy, Jie Xue, Nadezda Knorozova, Mohamed F. Mokbel, Ravi Janardan:
Scalable computational geometry in MapReduce. VLDB J. 28(4): 523-548 (2019) - [c52]Jie Xue, Yuan Li, Saladi Rahul, Ravi Janardan:
Searching for the Closest-Pair in a Query Translate. SoCG 2019: 61:1-61:15 - 2018
- [j51]Jie Xue, Yuan Li, Ravi Janardan:
On the separability of stochastic geometric objects, with applications. Comput. Geom. 74: 1-20 (2018) - [c51]Jie Xue, Yuan Li, Ravi Janardan:
Approximate Range Closest-Pair Search. CCCG 2018: 282-287 - [c50]Jie Xue, Yuan Li, Saladi Rahul, Ravi Janardan:
New Bounds for Range Closest-Pair Problems. SoCG 2018: 73:1-73:14 - [i4]Jie Xue, Yuan Li, Saladi Rahul, Ravi Janardan:
Searching for the closest-pair in a query translate. CoRR abs/1807.09498 (2018) - 2017
- [j50]Yuan Li, Jie Xue, Akash Agrawal, Ravi Janardan:
On the arrangement of stochastic lines in ℤ2. J. Discrete Algorithms 44: 1-20 (2017) - [c49]Akash Agrawal, Yuan Li, Jie Xue, Ravi Janardan:
The Most-Likely Skyline Problem for Stochastic Points. CCCG 2017: 78-83 - [c48]Jie Xue, Yuan Li, Ravi Janardan:
On the Expected Diameter, Width, and Complexity of a Stochastic Convex-Hull. WADS 2017: 581-592 - [i3]Jie Xue, Yuan Li, Ravi Janardan:
On the expected diameter, width, and complexity of a stochastic convex-hull. CoRR abs/1704.07028 (2017) - [i2]Jie Xue, Yuan Li, Saladi Rahul, Ravi Janardan:
New bounds for range closest-pair problems. CoRR abs/1712.09749 (2017) - 2016
- [c47]Jie Xue, Yuan Li, Ravi Janardan:
On the Separability of Stochastic Geometric Objects, with Applications. SoCG 2016: 62:1-62:16 - [i1]Jie Xue, Yuan Li, Ravi Janardan:
On the Separability of Stochastic Geometric Objects, with Applications. CoRR abs/1603.07021 (2016) - 2015
- [j49]Akash Agrawal, Saladi Rahul, Yuan Li, Ravi Janardan:
Range search on tuples of points. J. Discrete Algorithms 30: 1-12 (2015) - 2014
- [j48]Prosenjit Gupta, Ravi Janardan, Yokesh Kumar, Michiel H. M. Smid:
Data structures for range-aggregate extent queries. Comput. Geom. 47(2): 329-347 (2014) - [j47]Saladi Rahul, Ravi Janardan:
A General Technique for Top-$k$ Geometric Intersection Query Problems. IEEE Trans. Knowl. Data Eng. 26(12): 2859-2871 (2014) - 2013
- [c46]Ahmed Eldawy, Yuan Li, Mohamed F. Mokbel, Ravi Janardan:
CG_Hadoop: computational geometry in MapReduce. SIGSPATIAL/GIS 2013: 284-293 - 2012
- [j46]Onur Tekdas, Yokesh Kumar, Volkan Isler, Ravi Janardan:
Building a Communication Bridge With Mobile Hubs. IEEE Trans Autom. Sci. Eng. 9(1): 171-176 (2012) - [c45]Saladi Rahul, Ravi Janardan:
Algorithms for range-skyline queries. SIGSPATIAL/GIS 2012: 526-529 - 2011
- [c44]Saladi Rahul, Prosenjit Gupta, Ravi Janardan, Krishnan Sundara Rajan:
Efficient Top-k Queries for Orthogonal Ranges. WALCOM 2011: 110-121 - 2010
- [j45]Ivaylo Ilinkin, Jieping Ye, Ravi Janardan:
Multiple structure alignment and consensus identification for proteins. BMC Bioinform. 11: 71 (2010)
2000 – 2009
- 2009
- [j44]Prosenjit Gupta, Ravi Janardan, Michiel H. M. Smid:
Efficient Non-Intersection Queries on Aggregated Geometric Data. Int. J. Comput. Geom. Appl. 19(6): 479-506 (2009) - [c43]Onur Tekdas, Yokesh Kumar, Volkan Isler, Ravi Janardan:
Building a Communication Bridge with Mobile Hubs. ALGOSENSORS 2009: 179-190 - [r3]Jieping Ye, Ravi Janardan, Sudhir Kumar:
Biological Image Analysis via Matrix Approximation. Encyclopedia of Data Warehousing and Mining 2009: 166-170 - 2008
- [j43]Jieping Ye, Jianhui Chen, Ravi Janardan, Sudhir Kumar:
Developmental stage annotation of Drosophila gene expression pattern images via an entire solution path for LDA. ACM Trans. Knowl. Discov. Data 2(1): 4:1-4:21 (2008) - [c42]Ravi Janardan, Prosenjit Gupta, Yokesh Kumar, Michiel H. M. Smid:
Data Structures for Range-Aggregate Extent Queries. CCCG 2008 - [c41]Yokesh Kumar, Ravi Janardan, Prosenjit Gupta:
Efficient algorithms for reverse proximity query problems. GIS 2008: 39 - [c40]Jieping Ye, Kewei Chen, Teresa Wu, Jing Li, Zheng Zhao, Rinkal Patel, Min Bae, Ravi Janardan, Huan Liu, Gene E. Alexander, Eric Reiman:
Heterogeneous data fusion for alzheimer's disease study. KDD 2008: 1025-1033 - 2006
- [j42]Ivaylo Ilinkin, Ravi Janardan, Michiel H. M. Smid, Eric Johnson, Paul Castillo, Jörg Schwerdt:
Heuristics for estimating contact area of supports in layered manufacturing. ACM J. Exp. Algorithmics 11 (2006) - [j41]Jieping Ye, Ravi Janardan, Qi Li, Haesun Park:
Feature Reduction via Generalized Uncorrelated Linear Discriminant Analysis. IEEE Trans. Knowl. Data Eng. 18(10): 1312-1322 (2006) - [c39]Jieping Ye, Tao Xiong, Qi Li, Ravi Janardan, Jinbo Bi, Vladimir Cherkassky, Chandra Kambhamettu:
Efficient model selection for regularized linear discriminant analysis. CIKM 2006: 532-539 - [c38]Jieping Ye, Tao Xiong, Ravi Janardan:
CPM: A Covariance-preserving Projection Method. SDM 2006: 24-34 - [c37]Jieping Ye, Ivaylo Ilinkin, Ravi Janardan, Adam Isom:
Multiple Structure Alignment and Consensus Identification for Proteins. WABI 2006: 115-125 - 2005
- [j40]Stefan Atev, Hemanth Arumugam, Osama Masoud, Ravi Janardan, Nikolaos P. Papanikolopoulos:
A vision-based approach to collision prediction at traffic intersections. IEEE Trans. Intell. Transp. Syst. 6(4): 416-423 (2005) - [j39]Jieping Ye, Qi Li, Hui Xiong, Haesun Park, Ravi Janardan, Vipin Kumar:
IDR/QR: An Incremental Dimension Reduction Algorithm via QR Decomposition. IEEE Trans. Knowl. Data Eng. 17(9): 1208-1222 (2005) - [c36]Prosenjit Gupta, Ravi Janardan, Michiel H. M. Smid:
Efficient Non-intersection Queries on Aggregated Geometric Data. COCOON 2005: 544-553 - [c35]Stefan Atev, Osama Masoud, Ravi Janardan, Nikolaos Papanikolopoulos:
A collision prediction system for traffic intersections. IROS 2005: 169-174 - [e2]Ravi Janardan, Michiel H. M. Smid, Debasis Dutta:
Geometric and Algorithmic Aspects of Computer-Aided Design and Manufacturing, Proceedings of a DIMACS Workshop, Piscataway, New Jersey, USA, October 7-9, 2003. DIMACS Series in Discrete Mathematics and Theoretical Computer Science 67, DIMACS/AMS 2005, ISBN 0-8218-3628-5 [contents] - 2004
- [j38]Jieping Ye, Ravi Janardan, Songtao Liu:
Pairwise Protein Structure Alignment Based on an Orientation-independent Backbone Representation. J. Bioinform. Comput. Biol. 2(4): 699-718 (2004) - [j37]Jieping Ye, Ravi Janardan:
Approximate Multiple Protein Structure Alignment Using the Sum-of-Pairs Distance. J. Comput. Biol. 11(5): 986-1000 (2004) - [j36]Jieping Ye, Ravi Janardan, Cheong Hee Park, Haesun Park:
An Optimization Criterion for Generalized Discriminant Analysis on Undersampled Problems. IEEE Trans. Pattern Anal. Mach. Intell. 26(8): 982-994 (2004) - [j35]Jieping Ye, Tao Li, Tao Xiong, Ravi Janardan:
Using Uncorrelated Discriminant Analysis for Tissue Classification with Gene Expression Data. IEEE ACM Trans. Comput. Biol. Bioinform. 1(4): 181-190 (2004) - [c34]Ivaylo Ilinkin, Ravi Janardan, Michiel H. M. Smid, Eric Johnson, Paul Castillo, Jörg Schwerdt:
Approximating contact-area of supports in layered manufacturing. CCCG 2004: 91-94 - [c33]Jieping Ye, Ravi Janardan, Qi Li, Haesun Park:
Feature extraction via generalized uncorrelated linear discriminant analysis. ICML 2004 - [c32]Jieping Ye, Ravi Janardan, Qi Li:
GPCA: an efficient dimension reduction scheme for image compression and retrieval. KDD 2004: 354-363 - [c31]Jieping Ye, Qi Li, Hui Xiong, Haesun Park, Ravi Janardan, Vipin Kumar:
IDR/QR: an incremental dimension reduction algorithm via QR decomposition. KDD 2004: 364-373 - [c30]Tao Xiong, Jieping Ye, Qi Li, Ravi Janardan, Vladimir Cherkassky:
Efficient Kernel Discriminant Analysis via QR Decomposition. NIPS 2004: 1529-1536 - [c29]Jieping Ye, Ravi Janardan, Qi Li:
Two-Dimensional Linear Discriminant Analysis. NIPS 2004: 1569-1576 - [r2]Ravi Janardan, Tony C. Woo:
Manufacturing processes. Handbook of Discrete and Computational Geometry, 2nd Ed. 2004: 1241-1256 - [r1]Prosenjit Gupta, Ravi Janardan, Michiel H. M. Smid:
Computational Geometry. Handbook of Data Structures and Applications 2004 - 2003
- [j34]Man Chung Hon, Ravi Janardan, Jörg Schwerdt, Michiel H. M. Smid:
Minimizing the total projection of a set of vectors, with applications to layered manufacturing. Comput. Aided Des. 35(1): 57-68 (2003) - [j33]Jörg Schwerdt, Michiel H. M. Smid, Ravi Janardan, Eric Johnson:
Protecting critical facets in layered manufacturing: implementation and experimental results. Comput. Aided Des. 35(7): 647-657 (2003) - [c28]Ravi Janardan, Michiel H. M. Smid:
Geometric Algorithms for Layered Manufacturing. Geometric and Algorithmic Aspects of Computer-Aided Design and Manufacturing 2003: 189-220 - [c27]Jieping Ye, Ravi Janardan, Cheong Hee Park, Haesun Park:
A new optimization criterion for generalized discriminant analysis on undersampled problems. ICDM 2003: 419-426 - [c26]Jieping Ye, Ravi Janardan, Songtao Liu:
Pairwise Protein Structure Alignment Based on an Orientation-Independent Representation of the Backbone Geometry. ICTAI 2003: 2-8 - 2002
- [j32]Ivaylo Ilinkin, Ravi Janardan, Jayanth Majhi, Jörg Schwerdt, Michiel H. M. Smid, Ram D. Sriram:
A decomposition-based approach to layered manufacturing. Comput. Geom. 23(2): 117-151 (2002) - [j31]Jörg Schwerdt, Michiel H. M. Smid, Man Chung Hon, Ravi Janardan:
Computing an Optimal Hatching Direction in Layered Manufacturing. Int. J. Comput. Math. 79(10): 1067-1081 (2002) - [c25]Ivaylo Ilinkin, Ravi Janardan, Michiel H. M. Smid:
Terrain Polygon Decomposition, with Application to Layered Manufacturing. COCOON 2002: 381-390 - 2001
- [c24]Man Chung Hon, Ravi Janardan, Jörg Schwerdt, Michiel H. M. Smid:
Computing Optimal Hatching Directions in Layered Manufacturing. International Conference on Computational Science (1) 2001: 683-692 - [c23]Ivaylo Ilinkin, Ravi Janardan, Jayanth Majhi, Jörg Schwerdt, Michiel H. M. Smid, Ram D. Sriram:
A Decomposition-Based Approach to Layered Manufacturing. WADS 2001: 389-400 - 2000
- [j30]Jörg Schwerdt, Michiel H. M. Smid, Ravi Janardan, Eric Johnson, Jayanth Majhi:
Protecting critical facets in layered manufacturing. Comput. Geom. 16(3): 187-210 (2000)
1990 – 1999
- 1999
- [j29]Jayanth Majhi, Ravi Janardan, Michiel H. M. Smid, Prosenjit Gupta:
On some geometric optimization problems in layered manufacturing. Comput. Geom. 12(3-4): 219-239 (1999) - [j28]Jayanth Majhi, Ravi Janardan, Jörg Schwerdt, Michiel H. M. Smid, Prosenjit Gupta:
Minimizing support structures and trapped area in two-dimensional layered manufacturing. Comput. Geom. 12(3-4): 241-267 (1999) - [j27]Jayanth Majhi, Prosenjit Gupta, Ravi Janardan:
Computing a flattest, undercut-free parting line for a convex polyhedron, with application to mold design. Comput. Geom. 13(4): 229-252 (1999) - [j26]Michiel H. M. Smid, Ravi Janardan:
On the width and roundness of a set of points in the plane. Int. J. Comput. Geom. Appl. 9(1): 97-108 (1999) - [j25]Prosenjit Gupta, Ravi Janardan, Michiel H. M. Smid:
Efficient Algorithms for Counting and Reporting Pairwise Intersections Between Convex Polygons. Inf. Process. Lett. 69(1): 7-13 (1999) - [j24]Jörg Schwerdt, Michiel H. M. Smid, Jayanth Majhi, Ravi Janardan:
Computing the Width of a Three-Dimensional Point Set: An Experimental Study. ACM J. Exp. Algorithmics 4: 8 (1999) - [c22]Jörg Schwerdt, Michiel H. M. Smid, Ravi Janardan, Eric Johnson, Jayanth Majhi:
Protecting Facets in Layered Manufacturing. FSTTCS 1999: 291-303 - 1998
- [j23]Tony C. Woo, Ravi Janardan:
Special Issue: Computational Geometry and Computer-Aided Design and Manufacturing. Comput. Aided Des. 30(4): 229 (1998) - [c21]Jayanth Majhi, Ravi Janardan, Michiel H. M. Smid, Jörg Schwerdt:
Multi-Criteria Geometric Optimization Problems in Layered Manufacturing. SCG 1998: 19-28 - [c20]Jörg Schwerdt, Michiel H. M. Smid, Jayanth Majhi, Ravi Janardan:
Computing the Width of a Three-Dimensional Point Set: An Experimental Study. WAE 1998: 62-73 - [e1]Ravi Janardan:
Proceedings of the Fourteenth Annual Symposium on Computational Geometry, Minneapolis, Minnesota, USA, June 7-10, 1998. ACM 1998, ISBN 0-89791-973-4 [contents] - 1997
- [j22]Kai Tang, Ming-En Wang, Lin-Lin Chen, Shuo-Yan Chou, Tony C. Woo, Ravi Janardan:
Computing planar swept polygons under translation. Comput. Aided Des. 29(12): 825-836 (1997) - [j21]Prosenjit Gupta, Ravi Janardan, Michiel H. M. Smid, Bhaskar DasGupta:
The Rectangle Enclosure and Point-Dominance Problems Revisited. Int. J. Comput. Geom. Appl. 7(5): 437-455 (1997) - [j20]Prosenjit Gupta, Ravi Janardan, Michiel H. M. Smid:
A Technique for Adding Range Restrictions to Generalized Searching Problems. Inf. Process. Lett. 64(5): 263-269 (1997) - [c19]Jayanth Majhi, Ravi Janardan, Michiel H. M. Smid, Prosenjit Gupta:
On Some Geometric Optimization Problems in Layered Manufacturing. WADS 1997: 136-149 - 1996
- [j19]Prosenjit Gupta, Ravi Janardan, Jayanth Majhi, Tony C. Woo:
Efficient geometric algorithms for workpiece orientation in 4- and 5-axis NC machining. Comput. Aided Des. 28(8): 577-587 (1996) - [j18]Prosenjit Gupta, Ravi Janardan, Michiel H. M. Smid:
Algorithms for Generalized Halfspace Range Searching and Other Intersection Searching Problems. Comput. Geom. 6: 1-19 (1996) - [j17]Prosenjit Gupta, Ravi Janardan, Michiel H. M. Smid:
Fast Algorithms for Collision and Proximity Problems Involving Moving Geometric Objects. Comput. Geom. 6: 371-391 (1996) - [j16]Mario Alberto López, Ravi Janardan, Sartaj K. Sahni:
Efficient net extraction for restricted orientation designs [VLSI layout]. IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. 15(9): 1151-1159 (1996) - [c18]Prosenjit Gupta, Ravi Janardan, Michiel H. M. Smid:
Efficient Algorithms for Counting and Reporting Pairwise Intersections Between Convex Polygons. CCCG 1996: 8-13 - [c17]Jayanth Majhi, Prosenjit Gupta, Ravi Janardan:
Computing a Flattest, Undercut-Free Parting Line for a Convex Polyhedron, with Application to Mold Design. WACG 1996: 109-120 - 1995
- [j15]Prosenjit Gupta, Ravi Janardan, Michiel H. M. Smid:
Algorithms for Generalized Halfspace Range Searching and Other Intersection Searching Problems. Comput. Geom. 5: 321-340 (1995) - [j14]Prosenjit Gupta, Ravi Janardan, Michiel H. M. Smid:
Further Results on Generalized Intersection Searching Problems: Counting, Reporting, and Dynamization. J. Algorithms 19(2): 282-317 (1995) - [c16]Prosenjit Gupta, Ravi Janardan, Michiel H. M. Smid, Bhaskar DasGupta:
The Rectangle Enclosure and Point-Dominance Problems Revisited. SCG 1995: 162-171 - [c15]Prosenjit Gupta, Ravi Janardan, Jayanth Majhi, Tony C. Woo:
Efficient Geometric Algorithms for Workpiece Orientation in 4- and 5-Axis NC-Machining. WADS 1995: 171-182 - 1994
- [j13]Ravi Janardan, Franco P. Preparata:
Widest-Corridor Problems. Nord. J. Comput. 1(2): 231-245 (1994) - [c14]Prosenjit Gupta, Ravi Janardan, Michiel H. M. Smid:
Efficient Algorithms for Generalized Intersection Searching on Non-Iso-Oriented Objects. SCG 1994: 369-378 - [c13]Prosenjit Gupta, Ravi Janardan, Michiel H. M. Smid:
Fast Algorithms for Collision and Proximity Problems Involving Moving Geometric Objects. ESA 1994: 278-289 - [c12]Prosenjit Gupta, Ravi Janardan, Michiel H. M. Smid:
On Intersection Searching Problems Involving Curved Objects. SWAT 1994: 183-194 - 1993
- [j12]Ravi Janardan, Mario Alberto López:
Generalized intersection searching problems. Int. J. Comput. Geom. Appl. 3(1): 39-69 (1993) - [j11]Ravi Janardan:
On maintaining the width and diameter of a planar point-set online. Int. J. Comput. Geom. Appl. 3(3): 331-344 (1993) - [c11]Ravi Janardan, Franco P. Preparata:
Widest-corridor Problems. CCCG 1993: 426-431 - [c10]Mario Alberto López, Ravi Janardan, Sartaj K. Sahni:
A fast algorithm for VLSI net extraction. ICCAD 1993: 770-774 - [c9]Prosenjit Gupta, Ravi Janardan, Michiel H. M. Smid:
Further Results on Generalized Intersection Searching Problems: Counting, Reporting, and Dynamization. WADS 1993: 361-372 - 1992
- [j10]Siu-Wing Cheng, Ravi Janardan:
Algorithms for Ray-Shooting and Intersection Searching. J. Algorithms 13(4): 670-692 (1992) - [j9]Ravi Janardan, Siu-Wing Cheng:
Efficient Distributed Algorithms for Single-Source Shortest Paths and Related Problems on Plane Networks. Math. Syst. Theory 25(2): 93-122 (1992) - [j8]Siu-Wing Cheng, Ravi Janardan:
New Results on Dynamic Planar Point Location. SIAM J. Comput. 21(5): 972-999 (1992) - 1991
- [j7]Ravi Janardan:
On the Dynamic Maintenance of Maximal Points in the Plane. Inf. Process. Lett. 40(2): 59-64 (1991) - [j6]Siu-Wing Cheng, Ravi Janardan:
Efficient Maintenance of the Union of Intervals on a Line, with Applications. J. Algorithms 12(1): 57-74 (1991) - [c8]Ravi Janardan:
On Maintaining the Width and Diameter of a Planar Point-Set Online. ISA 1991: 137-149 - [c7]Siu-Wing Cheng, Ravi Janardan:
Space-efficient Ray-shooting and Intersection Searching: Algorithms, Dynamization, and Applications. SODA 1991: 7-16 - 1990
- [j5]Siu-Wing Cheng, Ravi Janardan:
Efficient Dynamic Algorithms for Some Geometric Intersection Problems. Inf. Process. Lett. 36(5): 251-258 (1990) - [j4]Greg N. Frederickson, Ravi Janardan:
Space-Efficient Message Routing in c-Decomposable Networks. SIAM J. Comput. 19(1): 164-181 (1990) - [c6]Siu-Wing Cheng, Ravi Janardan:
New Results on Dynamic Planar Point Location. FOCS 1990: 96-105 - [c5]Siu-Wing Cheng, Ravi Janardan:
Efficient Maintenance of the Union Intervals on a Line, with Applications. SODA 1990: 74-83 - [c4]Ravi Janardan, Siu-Wing Cheng:
Efficient Distributed Algorithms for Single-Source Shortest Paths and Related Problems on Plane Networks. WDAG 1990: 133-150
1980 – 1989
- 1989
- [j3]Greg N. Frederickson, Ravi Janardan:
Efficient Message Routing in Planar Networks. SIAM J. Comput. 18(4): 843-857 (1989) - 1988
- [j2]Greg N. Frederickson, Ravi Janardan:
Designing Networks with Compact Routing Tables. Algorithmica 3: 171-190 (1988) - [j1]Greg N. Frederickson, Ravi Janardan:
Space-Efficient and Fault-Tolerant Message Routing in Outerplanar Networks. IEEE Trans. Computers 37(12): 1529-1540 (1988) - 1987
- [b1]Ravi Janardan:
Space-efficient schemes for message routing in distributed networks. Purdue University, USA, 1987 - 1986
- [c3]Greg N. Frederickson, Ravi Janardan:
Separator-Based Strategies for Efficient Message Routing (Preliminary Version). FOCS 1986: 428-437 - [c2]Greg N. Frederickson, Ravi Janardan:
Optimal Message Routing without Complete Routing Tables (preliminary version). PODC 1986: 88-97 - 1982
- [c1]Ravi Janardan, K. B. Lakshmanan:
A Public-Key Cryptosystem Based on the Matrix Cover NP-Complete Problem. CRYPTO 1982: 21-37
Coauthor Index
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