With the help of Chris Tuthill of Fogler Library, I am getting my papers
onto this website. All the entries that have hyperlinks on the titles
will permit you to download a pdf of the paper. My goal is to eventually
put all my papers
on my web site. In the meantime, If you would like a copy of
one of them that is not up yet, please send e-mail to: email@example.com
- Cardinalities of D-Classes in
Semigroup Forum 4, 1972,
341-344 (with Brandon, Butler, Hardy).
- The Schutzenberger Group of an
H-Class in the Semigroup of
Binary Relations Semigroup Forum 5, 1972, 45-53 (with
- Indempotents and Product
Applications to the Semigroup of Binary Relations
Semigroup Forum 5, 1972, 95-119.
- The Number of Maximal Subgroups of
the Semigroup of
Binary Relations Kyungpook Math J., 12, June 1972, 1-8
- The Number of Maximal Subgroups
of the Semigroup of Binary
Relations II Kyungpook Math J., 12, December 1972,
199-211 (with Butler).
- Enumeration of Finite
Topologies Proc. 4th S. E.
Conference on Combinatorics, Graph Theory and Computing, Boca
Raton, 1973, 169-184 (with Butler).
- Some Combinatorial Aspects
of Lattice Theory
Proc. Univ. of Houston Lattice Theory Conf., 1973, 36-68.
- The Number of Partially Ordered
Sets II J. Korean
Math. Soc., 11, April 1974, 7-17 (with Butler).
- The Factorization and
Representation of Lattices
Trans. Am. Math. Soc. 203, 1975, 185-200.
- On Dedekind's Problem: The Number of
Functions II Trans. Am. Math. Soc. 213, 1975, 373-390
- Chain-complete Posets and Directed Sets with
Applications Algebra Univ.6, 1976, 53-68.
- Bases for Chain-complete
Posets IBM J. R&D, 20,
1976, 138-147 (with Rosen).
- Lower Bounds on the Length of Node
Sequences in Directed
Graphs Discrete Math. 16, 1976, 329-337 (with Tarjan).
- Categories of Chain-Complete
Computer Science 4, 1977, 125-135.
- Bounds on the Index and Period of a
Binary Relation on a
Finite Set Semigroup Forum 13, 1977, 253-259.
- Subprojective Lattices and
Projective Geometry J.
Algebra 48, 1977, 305-320 (with Petrich).
- Multidimensional Bin Packing
Algorithms IBM J.
R&D, 21, 1977, 443-448 (with Kou).
- Exact and Approximate Membership
Testers In Proc.
10th Ann. Symp. on Theory of Computing(SIGACT),May 1978,
59-65 (with Carter, Floyd, Gill, Wegman).
- A Mathematical Analysis of Human
Serology Math. Biosciences 40, 1978, 243-270 (with
Nau, Woodbury, Amos).
- Differential Operators and the Theory of
Enumeration J. Math. Analysis and Applications, 63,
- On The Number of Prime
Math. 24, 1978, 7-11 (with Chandra).
- Analysis of a Universal Class of
Proc. 7th Symposium on the Math. Foundations of Computer
Science in Zakopane, Poland, 1978, Volume 64 in the Springer
Verlag Lecture Notes in Computer Science Series, 345-354
(with Carter, Wegman).
- Free Completely Distributive
Lattices Proc. Am.
Math. Soc.74, 1979, 227-228.
- A Fast Algorithm For Steiner
Trees presented at the
10th S. E. Conference on
Combinatorics, Graph Theory and
Computing, Boca Raton, 1979. Also appears in Acta
Informatica 15, 1981, 141-5 (with Kou, Berman).
- Search Within a
JACM, Vol. 26, No.3, July
1979, 457-82 (with Strong, Chandra).
- Diagnosing Single Faults in
Circuits IEEE Trans. on Computers, Vol. C-28, No.11,
November 1979, 863-4.
- A Motivation and
Generalization of Scott's Notion of
Continuous Lattice Proc. of the 1979 Bremen Conference
on Topological and Categorical Aspects of Continuous
Lattices, Springer Verlag Lecture Notes in Mathematics,
- Propaedeutic to Chain-Complete
Posets with Basis
Proc. of the 1979 Bremen Conference on Topological and
Categorical Aspects of Continuous Lattices, Springer Verlag
Lecture Notes in Mathematics, No.871, 308- 14.
- On a Class of One-Step
Majority-Logic Decodable Cyclic
J. of R&D, Vol.24 No. 1, January 1980, 56-63
- Fleshing Out Wire
Frames IBM J. R&D, Vol.24,
No. 5, September 1980, 582-597 (with Wesley). This work was also described
in a Science Digest article.
The Representation of Posets and Lattices by Sets
Algebra Univ., 11, 1980, 173-92.
On the Generation of Explicit Routing Tables Proc.
Fifth International Conference on Computer Communications,
Atlanta, October 1980 (with Maruyama).
Uncovering Antibody Incidence Structures Math.
Biosciences, 52, 1980, 141-56 (with Wohlgemuth).
The Level Polynomials of the Free Distributive
Lattices Discrete Mathematics, 29, 1980, 275-85.
A Fragment-Cofragment Model of Antibody Incidence
Structures Math. Biosciences, 53, 1981, 265-73 (with
Syndrome-Testability Can be Achieved by Circuit
Modification IEEE Trans. on Computers, Vol. C-30, No.
Vocational Rehabilitation of the Severely Disabled: Voice
Controlled Computer Programming Proc. 4th Ann. Conf. on
Rehab. Engineering, Washington, DC, August 30-September 3,
1981, 135-6 (with Youdin and Reich).
Fleshing Out Projections IBM J. of R&D,
November 1981, 934-54 (with Wesley). This paper has been
reprinted (pp. 387-407) in Computer Vision: Principles ed.
by Rangachar Kasturi and Ramesh C. Jain, IEEE Computer Society
Press, Los Alamitos, CA 1991. The results of this paper and of
Fleshing Out Wire Frames were featured in a
An Evaluation of Local Path ID Swapping in Computer
Networks IEEE Trans. on Communications, Vol. Com-29,
No.3, March 1981, 329-36 (with Moss).
The Weighted Syndrome Sums Approach to VLSI Testing
IEEE Trans. on Computers, Vol. C-30, No.12, December 1981,
996-1000 (with Barzilai, Savir, Smith).
Best Huffman Trees Acta Informatica, 16, 1981,
Extending Semilattices is Hard Algebra
Universalis, 17 (1983) 406- 407.
Reduced Set of Phages for Typing Salmonellae J. of
Clinical Microbiology, Vol. 17, No. 2, Feb. 1983, 240-4,
Identifying Antigens and Antibodies in Serology
Math. Biosciences, 66:273-282 (1983) (with Wohlgemuth).
Intersection-Union Systems Discrete Applied
Math. 6 (1983) 255-262 (with Wohlgemuth).
Necessary and Sufficient Conditions for a Phenotype System
to Have a Factor Union Representation Math.
Biosciences, 66 (1983), 115-128.
Mathematical Immunogenetics I - A Survey J. of
Theoretical Biology, (1983) 102, 411-424, (with Wohlgemuth).
Mathematical Immunogenetics II - Antibody Incidence
Structure J. of Theoretical
425-437, (with Wohlgemuth).
On Sets of Boolean n-Vectors with All k-Projections
Surjective Acta Informatica20, 103-111 (1983) (with
Chandra, Kou, Zaks).
Reduced Set of Phages for Typing E-Coli
Dairy Science, 67 (1984), 1306-1315 (with Gershman and
Generation of Solid Models From Two-Dimensional and
a chapter in Solid Modeling by
Computers, Ed. by M. S. Pickett and John W. Boyse (Plenum
Publishing, 1984), 23-51 (with Wesley).
Mainstream Solutions for the Problems of Disability
Proc. Second IBM Corporate Technical Symposium on Employee
Initiated Projects for Persons with Disabilities, White
Plains, NY, October 1986.
Bounding Signal Probabilities in Combinatorial
Circuits IEEE Trans. on Computers, Vol. C-36, No. 10,
October 1987, 1247-1251.
Learning Probabilistic Prediction Functions 29th
Annual Symposium on the Foundations of Computer
Science(FOCS), October 24-26, 1988, pp. 110-119 (with
Phage Typing Set for Differentiating Staphylococcus
Epidermidis Canadian J. of Microbiology, V. 34, 1988,
pp. 1358-1361 (with Gershman, Hunter, Harmon, Wilson).
Numerical Tic-Tac-Toe I J. of Recreational
Math., Vol. 22, No. 2, 1990, pp. 114-123.
Numerical Tic-Tac-Toe II J. of Recreational
Math., Vol. 23, No. 3, 1990, pp. 192-200. The results in this
paper and the preceding one have been featured in articles in
OMNI Magazine, December 1989 and The Sciences.
Making a Golden Rectangle by Paper Folding The
Mathematical Gazette, Vol. 75, No. 471, March 1991, pp. 85-87.
Reprinted in The Changing Shape of Geometry: Celebrating a Centure of
Geometry and Geometry Teaching, ed. by Chris Pritchard, Cambridge U.
and MAA, 2003, pp. 301-303.
Bounding Fault Detection Probabilities in Combinational
Circuits Journal of Electronics Testing: Theory and
Applications (JETTA), 2 (1991), 315-323.
Phage Typing Sets Mathematical and Computer
Modeling, Volume 16, Issue 6/7, 1992, pp. 113-119 (with
Gershman and Hunter).
Misconceptions About The Golden Ratio The College
Mathematics Journal, Vol. 23, No. 1, Jan. 1992, 2-19.
Ordering D-Classes is Hard Semigroup Forum,
Vol. 44 (1992) 373-375.
Primes, Irreducibles and Extremal Lattices
Order, 9 (1992) 265-290.
Permutation Lattices Revisited Mathematical Social
Sciences, 27 (1994) 59-74. Programs to
Introduction to Algorithmic Information Theory,
J. Universal Computer Science, Vol. 2, No. 5, May 28, 1996, pp.
Reference in Journal.
Representation of Inclines
Algebra Colloquium, (with Kim and Roush) 4:4 (1997), 461-470.
An Introduction to Algorithmic Information Theory
Complexity , Vol. 2/No. 4, March/April 1997, pp. 14-22.
- The Poset of Irreducibles: a Basis for Lattice
(invited paper at ORDAL 99) to appear in a special issue of Discrete
Mathematics and Theoretical Computer Science.
An Overview of the Poset of
paper at Pohang University dedication in 2000), in
Computational Mathematics: Present and Future, ed. by Hong, et al,
World Scientific, Singapore, 2001, pp. 162-177.
Book Review: The Golden Ratio, Notices of the AMS,
Vol. 52, No. 3, March, 2005, pp. 344-347.
- A Distributed Approach to the Recognition of Geographically
Located IP Devices with Romanyak and Sachenko, in Cyberspace
Security and Defense: Research Issues, ed. by J. S. Kowalik, J. Gorski
and A. Sachenko, NATO Sci. Series, Springer 2005, pp. 193-207.
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