Publications

Dr. David W. Matula

 

                   Publications

 

129.    “A New Linear Programming Formulation for the Maximum Concurrent Flow Problem”, with T.J. Kratz and E. V. Olinick, Networks #10-15, (submitted for publication).

 

128.    “A Prescaled LUT Procedure for Obtaining High Precision Reciprocals, with M. T. Panu, IEEE Trans. on Computers, (submitted for publication).

 

127.    “Prescaled 4-Factor Multiplicative Division” with J. Y. Zhang and M. T. Panu, IEEE Trans. on Computers, (submitted for publication).

 

126.    “Constructing Efficient Rotating Backbones in Wireless Sensor Networks using Graph Coloring” with D. Mahjoub, Computer Communications Journal (Elsevier), Special Issue on Wireless Sensor and Robot Networks: Algorithms and Experiments, 2012, pp. 1086-1907.

 

125.    “A Prescale-Lookup-Postscale Additive Procedure for Obtaining a Single Precision Ulp Accurate Reciprocal”, with M. T. Panu, IEEE 20th Symposium on Computer Arithmetic, 2011.

 

124.    “Approximating the Independent Domatic Partition Problem in Random Geometric Graphs - An Experimental Study”, with D. Mahjoub, A. Leskovskaya, Canadian Conference on Computational Geometry (CCCG), 2010, pp. 195-198.

 

123.    “Building (1-epsilon) Dominating Set Partitions as Backbones in Wireless Sensor Networks using Distributed Graph Coloring”, with D. Mahjoub, 6th IEEE International Conference on Distributed Computing in Sensor Systems (DCOSS), 2010, pp. 144-157.

 

122.    “Employing (1-epsilon) Dominating Set Partitions as Backbones in Wireless Sensor Networks”, with D. Mahjoub, 11th Workshop on Algorithm Engineering and Experiments (ALENEX), 2010, pp. 98-112.

 

121.    “A Low Power High Performance Radix-4 Approximate Squaring Circuit”, with S. R. Datla, M. A. Thornton, ASAP, 2009, pp. 91-97.

 

120.    “Higher Radix Squaring Operations Employing Left-to-Right Dual Recoding”, IEEE 19th Symposium on Computer Arithmetic, 2009, pp. 39-47.

 

119.    “Experimental Study of Independent and Dominating Sets in Wireless Sensor Networks Using Graph Coloring Algorithms”, with D. Mahjoub, International Conference on Wireless Algorithms, Systems and Applications WASA, 2009, pp. 32-42.

 

118.    “A Discrete Logarithm Number System for Integer Arithmetic Modulo 2k: Algorithms and Lookup Structures”, with A. Fit-Florea, L. Li, M.A. Thornton, IEEE Transactions on Computers, (conditionally accepted; revision submitted 02/14/08, first submission 07/22/07).

 

117.    “The Use of Sparsest Cuts to Reveal the Hierarchical Community Structure of Social Networks”, with C. F. Mann, E. V. Olinick; Social Networks (to appear.).

 

116.    “Quantum Logic Implementation of Unary Arithmetic Operators”, with L. Spenner; M. A. Thornton; D. M. Miller, IEEE International Symposium on Multiple-Valued Logic (ISMVL), May 22-24, 2008, (to appear).

 

115.    “Multilevel Variable Length Shifter Design for an Iterated Shift-and-Add Product Operation”, with J. Moore, M.A. Thornton, D. W. Matula, Proceedings of the IEEE Region 5 Technical Conference, April 20-22, 2007, pp. 234-238

 

114.    “Performance Evaluation of a Novel Table Lookup Method and Architecture for Integer Functions”, with L. Li, A. Fit-Florea, and M. A. Thornton, IEEE International Conference on Application-Specific Systems, Architectures, and Processors (ASAP), September 11-13, 2006, pp. 99-104.

 

113.    “A Digit Serial Algorithm for the Integer Power Operations”, with L. Li and M.A. Thornton, ACM/IEEE Great Lakes Symposium on VLSI (GLSVLSI), April 20-May 2, 2006, pp. 302-307.(preprint)

 

112.  "A Formal Method and Efficient Traversal Algorithm for Generating Testbenches for Verification of IEEE Standard Floating Point Division"", with L.D. McFearin, Proc. DATE 06, March 6-10, 2006

 

111. "Single Precision Reciprocal by Multipartite Table Lookup", with P. Kornerup, Proc.17th Symp. Comp.Arith., IEEE , June 2005, pp. 240-248.

 

110. "Table Lookup Compression for Multiplicative Inverses Modulo 2k ", with A. Fit-Florea and M. Thornton, Proc.17th Symp. Comp.Arith., IEEE, June 2005, pp. 156-163.

 

109. "Hardware Implementation of an Additive Bit-Serial Algorithm for the Discrete Logarithm

Modulo 2k ",  with L. Li, A. Fit-Florea, M. A. Thornton, Proc. Ann. Sym. on VLSI 2005, IEEE,   May 2005, pp.130-135.

 

108. "Secondary Radix Recodings for Higher Radix Multipliers", with P. M. Seidel, and L. D. Mc Fearin, IEEE Trans.  on Comp., vol 54, 2005, pp. 111-123.

 

107. "Additive Bit-serial Algorithm for the Discrete Logarithm Modulo 2k ", with A. Fit-Florea and M. Thornton, IEE Electronics Letters, January, 2005, pp. 57-59.

 

106. "Addition-based Exponentiation Modulo 2k ", with A. Fit-Florea and M. Thornton, IEE Electronics Letters, January, 2005, pp. 56, 57.

 

105. "Determining All Pairs Edge connectivity of a 4-regular Graph in O(|V|)", with A. Fit-Florea, Proc. 3rd ACS/IEEE Conf. Comp. Sys. and Appli., IEEE, Jan 2005.

 

104. "A Digit-Serial Algorithm for the Discrete Logarithm Modulo 2k ", with A. Fit-Florea, Proc. ASAP, IEEE, 2004, pp. 236-246.

103. "Prescaled Integer Division", with A. Fit-Floria, Proc. 16th Symp. Comp.Arith., IEEE, June 2003, pp. 63-68.
102. "A pxp Bit Fraction Model of Binary Floating Point Division and Extremal Rounding Cases", with L. D. McFearin, J.Th. Comp. Sci., 291,2003, pp. 159-182.
101. "Further Reducing the Redundancy of a Notation Over a Minimally Redundant Digit Set", with M. Daumas, JVLSI vol 33, 2003, pp. 7-18.
100. "A 6-Regular Torus Graph Family with Applications in Cellular and Interconnection Networks", with M. Iridon, JGAA vol 6, 2002, pp. 373-404.
99. "Evaluating Products of Non Linear Functions by Indirect Bipartite Table Lookup", with A. Fit-Floria, and L.D. McFearin, Proc. ASAP, IEEE, 2002, pp. 120-129.
98. "Selecting Test Suites for IEEE Standard Floating Point Division", with L.D. McFearin, Proc.IEEE International Conf. on Computer Design, Sept. 2001, pp. 89-96.
97. "Binary Multiplication Radix-32 and Radix-256", with P.-M. Seidel, and L.D. McFearin, Proc.15th Symp. Comp. Arith., IEEE June 2001, pp.23-32.
96. "Generation and Analysis of Hard to Round Test Cases for Binary Floating Point Division", with L.D. McFearin, Proc. 15th Symp. Comp. Arith., IEEE June 2001, pp. 119-126.
95. "Improved Table Lookup Algorithms for Postscaled Division", Proc.15th Symp. Comp. Arith, IEEE June 2001, pp. 101-108.
94. "A Graph Theoretic Approach for Channel Assignment in Cellular Networks", with M. Iridon, and C. Yang,  Wireless Networks Journal, vol 7, 2001, pp. 567-574.
93. "A Booth Multiplier Accepting Both a Redundant or a Non Redundant Input with No Additional Delay", with M. Daumas, Proc.ASAP, 2000, pp. 205-214.
92. "Improving Goldschmidt Division, Square Root, and Square Root Reciprocal", with M.D. Ercegovac, L. Imbert, J-M. Muller, and G. Wei IEEE Trans. on Comp, vol 49, 2000 pp. 759-763.
91. "Number Theoretic Foundations of Binary Floating Point Division with Rounding", with L.D. McFearin, Proc. RNC4; April 2000, pp. 39-60.
90. "An IEEE Compliant Floating – Point Adder that Conforms with the Pipelined Packet-Forwarding Paradigm", with A. M. Neilsen, C.N. Lyu, and G. Even,  IEEE Trans. on Comp., vol 49, 2000, pp. 33-47.
89. "Analysis of Reciprocal and Square Root Reciprocal Instructions in the AMD K6-2 Implementation of 3D Now! ", with C. Ioradache, ENTCS, vol. 24, Aug.1999.
88. "On Infinitely Precise Rounding for Division, Square Root, Reciprocal, and Square Root Reciprocal", with C. Iordache Proc. 14th Symp. on Comp. Arith., IEEE Car. #99CB36336, 1999,pp. 233-240.
87. "Performance Analysis of A Graph Model for Channel Assignment in a Cellular Network", with H. Cankaya, and M. Iridon, Proc. of  IEEE COMPSAC’99, 1999, pp.239-240.
86. "Symmetric Cellular Network Embeddings on a Torus", with M. Iridon, IEEE, Proc. of  ICCCN, 1998, pp. 732-736.
85. "Faithful Interpolation over Reciprocal Tables", with D. DasSarma, Proc. 13th IEEE Symp. on Comp. Arith., IEEE Cat# 97CB36091, 1997, pp. 82-91.
84. "Pipelined Packet-Forwarding Floating Point: I. Foundations and a Rounder", with A. M. Nielsen, Proc. 13th IEEE Symp. on Comp. Arith., IEEE Cat# 97CB36091, 1997, pp. 140-147.
83. "Pipelined Packet-Forwarding Floating Point: II. An Adder", with A.M.Nielsen, C.N.Lyu and G.E.Even, Proc.13th Symp. on Comp. Arith., IEEE Cat# 97CB36091, 1997, pp. 148-155.
82. "Validating Roundings of Dot Products”, with M. Daumas, IEEE Trans. on Computers, 46, 1997.
81. “Hardware Reciprocal Table Compression/Decompression Techniques", with D. Das Sarma, in Scientific Computing and Validated Numerics, Akademic Verlag, 1995, pp. 11-17.
80. "LCF: A Lexicographic Binary Representation of the Rationals", with P. Kornerup, J. U. C. S. 1, 1995, 480-499.
79. "Faithful Bipartite ROM Reciprocal Tables", with D. DasSarma, Proc. 12th Sym. on Comp. Arith., IEEE Cat. #95CB35822, 1995, 17-28.
78. "Redundant Binary Booth Recoding", with C. N. Lyu, Proc. 12th Sym. on Comp. Arith., IEEE Cat# 95CB35822, 1995, 50-57.
77. "Partitioning by Maximum Adjacency Search of Graphs", with W. Cai, in Partitioning Data Sets, Cox, I.J., Hansen, P., Julesz, B., ed., DIMAS 19, AMS, Providence, 1995, 55-63.
76. "Rounding of Floating Point Intervals", with M. Daumas, Interval Computations, No.4, 1994, 28-45.
75. "Measuring the Accuracy of ROM Reciprocal Tables", with D. DasSarma, IEEE Trans. on Comp., 43, 1994, 932-940.
74. "Measuring the Accuracy of ROM Reciprocal Tables", with D. DasSarma, Proc. 11th Sym. on Comp. Arith., IEEE Cat# 93CH3324-1, 1993, 95-102.
73. "Design of a Fast Validated Dot Product Operation", with M. Daumas, Proc. 11th Sym. on Comp. Arith., IEEE Cat# 93CH3324-1, 1993, 62-69.
72. "A 17 x 69 Bit Multiply and Add Unit with Redundant Binary Feedback and Single Cycle Latency", with W. S. Briggs, Proc. 11th Sym. on Comp. Arith., IEEE Cat# 93CH3324-1, 1993, 163-170.
71. "A Linear Time (2+e) Approximation Algorithm for Edge Connectivity". Proc. 4th ACM-SIAM Sym. on Dis. Algorithms, 1993, pp. 500-504.
70. "Semantics for Exact Floating Point Operations", with G. Bohlender, P. Kornerup, and W. Walter, Proc. 10th Sym. On Comp.Arith., IEEE Cat# 91CH3015-5, 1991, 22-26.
69. "A Redundant Binary Euclidean GCD Algorithm", with S. N. Parikh, Proc. 10th Sym. On Comp. Arith.,  IEEE Cat# 91CH3015-5, 1991, 220-225.
68. "An Algorithm for Redundant Binary Bit-Pipelined Rational Arithmetic", with P. Kornerup, IEEE Trans. on Comp., C-39, 1990, 1106-1115.
67. "The Maximum Concurrent Flow Problem", with F. Shahrokhi, J.A.C.M., 37, 1990, 318-334.
66. "Sparsest Cuts and Bottlenecks in Graphs", with F. Shahrokhi, Discrete Applied Mathematics, 1990, 113-123.
65. "An Expose and Merge Algorithm and the Chromatic Number of a Random Graph", with L. Kucera, in Random Graphs ’87, Karonski, M., Jaworski, J. and Rucinski, A., ed., Wiley, New York, 1990, 175-187.
64. "Exploiting Redundancy in Bit-Pipelined Rational Arithmetic", with P. Kornerup, Proc. 9th IEEE Sym. on Comp. Arith., IEEE Cat# 89CH2757-3, 1989, 119-126.
63. "An On-Line Arithmetic Unit for Bit-Pipelined Rational Arithmetic", with P. Kornerup, J. Parallel  and  Distributed Comp., 1988, 310-330.
62. "Expose-and-Merge Exploration and the Chromatic Number of a Random Graph", Combinatorica, 7, 1987, 275-284.
61. "Determining Edge Connectivity in O (nm) ", Proc. 28th IEEE FOCS, 1987, 249-251.
60. "A Bit-Serial Arithmetic Unit for Rational Arithmetic", with P. Kornerup, Proc. 8th IEEE Sym. on Comp. Arith., 1987, 204-211.
59. "On Solving Large Maximum Concurrent Flow Problems", with F. Shahrokhi, Proc. Computer  Science Conf., 1987, 205-209.
58. "Two Flow Routing Algorithms for the Maximum Concurrent Flow Problem", with J. Biswas, Proc. FJCC, Computer Society Press, Washington, D.C., 1986, 629-636.
57. "Arithmetic for Microprocessors-Some Recent Trends", in Impacts of Microcomputers on Operations Research, Gass, S.I., et al., eds., Elsevier, New York, 1986, 194-200.
56. "Divisive vs. Agglomerative Average Linkage Hierarchical Clustering", in Classification as a Tool of Research, Gaul, W. and Schader, M., eds., Elsevier (North Holland), Amsterdam, 1986, 289-301.
55. "Random Graphs" with M. Karonski, in Encyclopedia of Statistical Sciences, Vol. 7, Johnson, N.L., Kotz, S and Read, C.S., eds. Wiley, New York, 1986, 512-516.
54. "Finite Precision Rational Arithmetic: Slash Number Systems", with P. Kornerup, IEEE Trans. on Comp., C-34, 1985, 3-18.
53. "Finite Precision Lexicographic Continued Fraction Number Systems", with P. Kornerup, Proc. 7th Sym. on Comp. Arith., IEEE Cat# 85CH2146-9, 1985, 207-214.
52. "Rationally Biased Arithmetic", with W, Ferguson, Proc. 7th Sym. On Comp. Arith., IEEE Cat# 85CH2146-9, 1985, 194-202.
51. "Concurrent Flow and Concurrent Connectivity in Graphs", in Graph Theory and Its Applications to Algorithms and Computer Science, Y. Alavi et al., John Wiley, New York, 1985, 543-559.
50. "An Order Preserving Finite Binary Encoding of  the Rationals", with P. Kornerup, Proc. 6th Sym. on Comp. Arith., IEEE Cat# 83CH1892-9, 1983, 201-209.
49. "Cluster Validity by Concurrent Chaining", in Numerical Taxonomy: Proc. of  The NATO Adv. Study Inst., J. Felsenstein, ed., Proc. Of NATO ASI Series G, vol.1, Springer-Verlag, New York, 1983, 156-166.
48. "Smallest Last Ordering and Clustering and Graph Coloring Algorithms" with L. Beck, J.A.C.M., 30, 983, 417-427.
47. "Finite Precision Rational Arithmetic: An Arithmetic Unit", with P. Kornerup, IEEE Trans. on Comp., C-32, 1983, 378-388.
46. "Ramsey Theory for Graph Connectivity", J. Gr. Th. 7, 1983, 95-103.
45. "Graph Theoretic Cluster Analysis" in Encyclopedia of Statistical Sciences, vol. 3, S. Kotz and N.L. Johnson, eds., Wiley, New York, 1983, 511-517.
44. "Basic Digit Sets for Radix Representation", J.A.C.M., 29, 1982, 1131-1143.
43. "An Integrated Rational Arithmetic Unit", with P. Kornerup, Proc. 5th Sym. On Comp. Arith., IEEE Cat# 81CH1630-3, 1981, 233-240.
42. "Properties of  Gabriel Graphs Relevant to Geographic Variation Research and the Clusting of Points in  the Plane", with R. R. Sokal, Geographical Analysis, 12, 1980, 205-222.
41. "Foundations of Finite Precision Rational Arithmetic", with P. Kornerup, Computing Suppl 2, 1980,85-111.
40. "Approximate Rational Arithmetic Systems: Analysis of Recovery of Simple Fractions During Expression Evaluation" with P. Kornerup, Symbolic and Algebraic Computation, E. W. Ng. ed., Lecture Notes in Computer Science, 72, Springer-Verlag, Berlin, 1979, 383-397.
39. "Introduction to Data Processing for Managers" with K. Arora, and T. Perkins (Text Manual to Accompany a Multi-Media Short Course), Control Data Education Company, Minneapolis, 1979.
38. "A Feasibility Analysis of Fixed-Slash Rational Arithmetic", with P. Kornerup, Proc. 4th Sym. on Comp. Arith., IEEE Cat# 78CH1412-6C, 1978, 39-47.
37. "A Feasibility Analysis of Binary Fixed-Slash and Floating-Slash Number Systems" with P. Kornerup, Proc. 4th Sym. on Comp. Arith., IEEE Cat# 78CH1412-6C, 1978, 29-38.
36. "Basic Digit Sets for Radix Representation of the Integers", Proc. 4th Sym. on Comp. Arith., IEEE  Cat# 78CH1412-6C, 1978, 1-9.
35. "Subtree Isomorphism in O (n 5/2) ", Ann. Dis. Math. 2, 1978, 91-106.
34. "k-Blocks and Ultrablocks in Graphs", J. Comb. Th., Ser. B 24, 1978, 1-13.
33. "Subgraph Connectivity Numbers of a Graph" in Theory and Applications of Graphs, Y. Alavi and D. Lick, eds., Lec. Notes in Math. Vol. 642, Springer-Verlag, 1978, 371-383.
32. "Computer Arithmetic: Foreword and Survey", with T.R. Rao, IEEE Trans. on Comp., C-26, 1977, 609.
31. "Base Conversion in Residue Number Systems", with R. T. Gregory, BIT 17, 1977, 286-302.
30. "Graph Theoretic Techniques for Cluster Analysis Algorithms", in Classification and Clustering, J. Van Ryzin, ed., Academic Press, New York, 1977, 95-129.
29. "Significance Arithmetic" "Significant Digit" "Precision", in Encyclopedia of Computer Sciences, A. Ralston and C.L.Meek, eds., Petrocelli/Charter, New York, 1976, 1087-88, 1254-56.
28. "Radix Arithmetic: Digital Algorithms for Computer Architecture", Ch. 9 of Applied Computation Theory: Analysis, Design, and Modeling, R. Yeh, ed., Prentice Hall, Englewood Cliffs, 1976, 374-448.
27. "Fixed-Slash and Floating-Slash Rational Arithmetic", Proc. 3rd Sym. on Comp. Arith., IEEE, 1975, 90-91.
26. "A Uniform Set Covering Lemma", Proc. Am. Math. Soc., 48, 1975, 255-261.
25. "Radix/Residue/Rational: The Three R’s of Computer Arithmetic and Associated Computer Architecture", Proc. Second Texas Conference on Computing Systems, 1973, 36.1-36.4.
24. "A Simulative Study of Correlated Error Propagation in Various Finite-Precision Arithmetics" with J.D. Marasa, IEEE Trans. on Comp., C-22, 1973, 587-597.
23. "Number Theoretic Foundations of Finite Precision Arithmetic", Applications of Number Theory to Numerical Analysis, with W. Zaremba, ed., Academic Press, New York, 1972, 479-489.
22. "Graph Coloring Algorithms" with G. Marble and J.D. Isaacson, in Graph Theory and Computing,R. Read, ed., Academic Press, New York, 1972, 109-122.
21. "Significant Digits: Numerical Analysis or Numerology", in Proc. IFIPS Congress 71, North Holland, Amerstdam, 1972, 1278-1283.
20. "K-Components, Clusters, and Slicings in Graphs" SIAM Jour. of Appl. Math., 22, 1972, 459-480.
19. "Bounded Color Functions on Graph", Networks, 2, 1972, 29-44.
18. "The Emergence of Computational Arithmetic as a Component of the Computer Science Curriculum", Proc.of the First Tech. Sym. on Academic Education in Computer Science, Assoc. for Comp. Mach., New York, 1970, 41.
17. "On the Complete Subgraphs of a Random Graph", Proc. of the Second Chapel Hill Conference on Combinatorial Mathematics and Its Applications, University of North Carolina, Chapel Hill, 1970, 356-369.
16. "Cluster Analysis via Graph Theoretic Techniques", Proc. of the Louisiana Conference on Combinatorics, Graph Theory, and Computing, R.C. Mullin, K.B.Reid, and D.P. Roselle, eds., University of Manitoba, Winnipeg, 1970, 199-212.
15. "A Formalization of Floating-Point Numeric Base Conversion" IEEE Trans. on Comp., C-19, 1970,681-692.
14. “On The Number of Subtrees of a Symmetric n-ary Tree”, SIAM Jour. of Ap. Math., 18, 1970, 680-703.
13. "New Instruction Types for Implementing Combinatorial Algorithms on a Computer" in Combinatorial  Structures and Their Applications, R. Guy, N. Saur, M. Manani, and H. Schonheim, eds., Gordon and Breach, New York, 1970, 261-265.
12. "The Cohesive Strength of Graphs" in The Many Facets of Graph Theory, G. Chartrand and S.F. Kapoor, eds., Springer-Verlag, Berlin, 1969, 215-221.
11. "Theory of Mixed Backbone Scrambling as Exemplified by Exchange of Chlorine and Bridging Sulfur Atoms Between Dimethylgermanium and Dimethylsilicon" with K. Moedritzer and J.R. Van Wazer, Inorganica Chimica Acta, 3, 1969, 559-567.
10. "Stochastic Graph Theory and Equilibrium Constants for Families of Molecules", Ann. N.Y. Acad. Sci., Art. 1, 1969, 314-334.
9. "Towards an Abstract Mathematical Theory of Floating Point Arithmetic", Proc. AFIPS, 34, 1969, 765-772.
8. "The Base Conversion Theorem" Proc. Am. Math. Soc., 19, 1968, 716-723.
7. "In-and-Out Conversions", Comm. ACM, 11, 1968, 47-50.
6. "Molecular Distributions at Equilibrium. VI. Relationships Latent in Stochastic Graph Theory Suitable for Simplified Data Treatment of Polymer Systems", with J.R. Van Wazer, J. Chem. Phys., 46, 1967, 3123-3131.
5. "Base Conversion Mappings", Proc. AFIPS, 30, 1967, 311-318.
4. "Circles in a Square World, A Problem in Pattern Analysis", with R. M. Baer, Comp. Bio-med. Res., 1, 1967, 18-40 (inaugural issue of journal).
3. "Molecular Distributions at Equilibrium, I. Theory of Equilibria in Scrambling Reactions and Interpretation of NMR Spectra", with L.C.D. Groenweghe and J.R. Van Wazer, J.Chem.Phys., 41,1964, 3104-3121.
2. "Exchange of Parts Between Molecules at Equilibrium. II. Polyarsenous Oxyhalides" with J.R.Van Wazer and K. Moedrizer, J. Am. Chem. Soc., 86, 1964, 807-811.
1. "A Periodic Optimal Search" Am. Math. Mon., 71, 1964, 15-21.
 

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