John Konvalina
Selected Publications
(all papers refereed)
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 Warings 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 Warings 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 Singers 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.
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Last modified: Wednesday, April 10, 2007