Research Papers in Combinatorial Theory

• "Emergent Decision-Making in the Dynamics of Biological Signal Transduction Networks", PNAS, 105 (2008) 1913-1918 (with T. Helikar, J. Heidel, and J. Rogers).
• “ Combinatorial Fractal Geometry with a Biological Application,” Fractals , 14 (2006) 133-142 (with I. Konfisakhar, J. Heidel and J. Rogers).
• “A Mean Paradox,” Amer. Math. Monthly, 113 (2006), 166-169 (with J. Heidel and J. Rogers).
• “The number and probability of canalizing functions,” Physica D, 197 (2004), 211-221 (with W. Just and I. Shmulevich).
• “Palindrome-Polynomials with Roots on the Unit Circle,” Comptes Rendus Mathematiques, 26 (2004), 39-44 (with V. Matache).
• “A unified interpretation of the binomial coefficients, the Stirling numbers, the Gaussian coefficients,” Amer. Math. Monthly, 107 (2000), 901--910.
• "Generalized Binomial Coefficients and the Subset-Subspace Problem",   Advances in Applied Mathematics, 21 (1998), 228-240.
• "A Note on a Generalization of Waring’s Formula", Advances in Applied Mathematics, 20 (1998), 392-393.
• "On the Number of Cyclic Projective Planes", Advances in Applied Mathematics, 20 (1998), 130-140.
• "The Combinatorics of Discrete Self-Similarity", Advances in Applied Mathematics, 19 (1997), 415-428.
• "Arithmetic Progression Sums of Binomial Coefficients", Applied Mathematics Letters, 10 (1997), 11-13 (with Yi-Hsin Liu).
• "A Generalization of Waring’s Formula", Journal of Combinatorial Theory, 75 (1996), 281-294.
• "Roots of Unity and Circular Subsets without Consecutive Elements", Fibonacci Quarterly, 33 (1995), 412-414.
• "Circular Subsets without q-Separation and Powers of Lucas Numbers ", Fibonacci Quarterly, 31 (1993), 275 (with Yi-Hsin Liu).
• "Bit Strings without q-Separation", BIT, 31 (1991), 32-35 (with Yi-Hsin Liu).
• "Zero-One Matrices without Consecutive Ones", Applied Mathematics Letters, 4 (1991), 35-37 (with Yi-Hsin Liu).
• "Subsets without q-Separation and Binomial Products of Fibonacci Numbers", Journal of Combinatorial Theory, 57 (1991), 306-310 (with Yi-Hsin Liu).
• "A Combinatorial Interpretation of the Square of a Lucas Number", Fibonacci Quarterly, 29 (1991), 268-270 (with Yi-Hsin Liu ).
• "Subsets without Unit Separation and Products of Fibonacci Numbers", Fibonacci Quarterly, 29 (1991), 141-144 (with Yi-Hsin Liu).
• "A Note on Models of Finite Geometries Arising from Difference Sets", European Journal of Combinatorics, 6 (1985), 189-191.
• "On the Number of Combinations without Unit Separation", Journal of Combinatorial Theory, 31 (1981), 101-107.
• "A Characterization of the Pythagorean Triples", Fibonacci Quarterly (18th Anniversary Volume-1979), 160-162.
• "A Combinatorial Algorithm to Generate Cyclic Quasi-Hadamard Matrices", Utilitas Mathematica, 14 (1978), 269-277 (with R. Kosloski ).
• "Cyclic Quasi-Hadamard Matrices", Utilitas Mathematica, 12 (1977), 273-287 (with R. Kosloski ).
• "On the Converse of Singer’s Theorem", Journal of Combinatorial Theory, 23 (1977), 68-77.

Publications in Computer Science Education

• "Will the Real Pascal Please Stand(ard) Up?" Journal of Pascal, Ada, and Modula-2, 1988 (with S. Wileman ).
• "Procedures for Improving Student Placement in Computer Science", Journal of Computers in Mathematics and Science Teaching, 4 (1985), 46-49 (with L. Stephens & S. Wileman).
• "Math Proficiency: A Key to Success for Computer Science Students", Communications of the Association for Computing Machinery, 26 (1983), 377-382 (with L.Stephens & S. Wileman)
• "Identifying Factors Influencing Computer Science Aptitude and Achievement", Association for Educational Data Systems, 16 (1983), 106-112 (with L. Stephens & S. Wileman).
• "The Relationship Between Mathematical Competencies and Computer Science Aptitude and Achievement", Journal of Computers in Mathematics and Science Teaching, 1 (1982), 20-21 (with L. Stephens and S. Wileman)
• "Group Differences in Computer Science Aptitude", Association for Educational Data Systems, 14 (1981), 84-95 (with L. Stephens & S. Wileman).
• "Factors Influencing Success in Beginning Computer Science Courses", Journal of Educ. Research , 74 (1981), 223-226 (with L. Stephens & S. Wileman)
• Textbook:   Programming with Pascal, McGraw-Hill Publishers (1987), 615 pages (coauthor: S. Wileman).

Publications in Mathematics Education

• " The Use of Computer Algebra Software in Teaching Intermediate and College Algebra", International Journal of Mathematical Education in Science & Technology, 30 (1999), 271-277 (with L. Stephens).
• "An Experimental Study in Basic Mathematics Concerning Self-Assessment, Achievement and Confidence", International Journal of Mathematical Education in Science & Technology, 12 (1981), 271-277 .
• "Changing Attitudes Toward Mathematics", International Journal of Mathematical Education in Science & Technology, 11 (1980), 323-325.
• Textbook:   Basic Mathematics, HBJ Publishers, (1983) 562 pages.
• Textbook:   Basic Algebra, HBJ Publishers, (1983) 584 pages.