Publications of Robert Gardner
Discrete Mathematics
  1. R. Calahan and R. Gardner, 3-Transrotational Steiner Triple Systems, Congressus Numerantium, 81 (1991) 65-68 (MR# 92j:05024).
  2. R. Gardner, Steiner Triple Systems with Near-Rotational Automorphisms, Journal of Combinatorial Theory - Series A, 61 (2) (1992) 322-327 (MR# 93g:05021).
  3. R. Gardner, Transrotational Directed Triple Systems, Congressus Numerantium, 90 (1992) 97-102 (MR# 93m:05030).
  4. R. Calahan and R. Gardner, A Special Case of Bicyclic Steiner Triple Systems, Congressus Numerantium, 88 (1992) 77-80 (MR#93j:05016).
  5. R. Gardner, A Note on a Class of Steiner Triple Systems, Ars Combinatoria, 36 (1993) 157-160 (MR# 94f:05020).
  6. R. Calahan and R. Gardner, Bicyclic Steiner Triple Systems, Discrete Mathematics, 128 (1994) 35-44 (MR# 95c:05019).
  7. R. Gardner, Steiner Triple Systems with Transrotational Automorphisms, Discrete Mathematics, 131 (1994) 99-104 (MR# 95f:05017).
  8. R. Gardner, Near-Rotational Directed Triple Systems, Ars Combinatoria, 38 (1994) 137-143 (MR# 95m:05037).
  9. D. Bryant, S. El-Zanati, and R. Gardner, Decompositions of Km,n and Kn into Cubes, Australasian Journal of Combinatorics, 9 (1994) 285-290 (MR# 95f:05087).
  10. G. Coker and R. Gardner, Some Rotational Automorphisms of Mendelsohn Triple and Quadruple Systems, Utilitas Mathematica, 47 (1995) 117-127 (MR# 95m:05035).
  11. G. D. Coker, R. Gardner and R. Johnson, Decompositions of the Complete Digraph and the Complete Graph which admit certain Automorphisms, Congressus Numerantium, 108 (1995) 65-84 (MR# 96h:05095).
  12. R. Gardner, P. Torbett and A. Weems, Decompositions of the Complete Digraph into each of the Orientations of a 4-Cycle which admit a Certain Automorphism, Congressus Numerantium, 120 (1996) 33-39 (MR# 97i:05103).
  13. R. Gardner and R. Zijlstra, Reverse Directed Triple Systems, Journal of Combinatorial Mathematics and Combinatorial Computing, 21 (1996) 179-186 (MR# 97a:05033).
  14. R. Calahan-Zijlstra, R. Gardner, B. Micale, and M. Pennisi, Cyclic and Rotational Hybrid Triple Systems, Discrete Mathematics, 171 (1997) 121-139 (Mr# 98f:05027) and Discrete Mathematics, 175 (1997) 143-161 (MR# 98j:05028).
  15. R. Gardner, Optimal Packings and Coverings of the Complete Directed Graph with 3-Circuits and with Transitive Triples, Congressus Numerantium, 127 (1997) 161-170 (CMP 1 605 003 (98:09)).
  16. R. Gardner, Bicyclic Directed Triple Systems, Ars Combinatoria, 49 (1998) 249-257 (MR# 99c:05029).
  17. R. Gardner, Bicyclic Decompositions of Kv into copies of K3 U {e}, Utilitas Mathematica, 54 (1998) 51-57 (MR# 99g:05142).
  18. R. Gardner, Triple Systems from Mixed Graphs, Bulletin of the Institute of Combinatorics and its Applications, 27 (1999) 95-100 (MR# 2000e:05024).
  19. R. Gardner, C. Huff, and J. Kennedy, Decompositions and Packings of Digraphs with Orientations of 4-Cycles, Ars Combinatoria, 54 (2000) 269-282 (MR# 2000j:05094).
  20. G. Coker, R. Gardner, P. Torbett and A. Weems, Bicyclic Decompositions of the Complete Digraph into Orientations of a 4-Cycle, Journal of Combinatorial Mathematics and Combinatorial Computing, 37 (2001) 43-52.
  21. R. Gardner, Cyclic and Rotational Decompositions of Kn into Stars, Ars Combinatoria, 61 (2001) 313-318.
  22. G. Chapman and R. Gardner, Decompositions of Lambda Times the Complete Directed Graph Into Each of the Orientations of a 4-Cycle, Journal of Combinatorial Mathematics and Combinatorial Computing, 39 (2001) 183-201.
  23. R. Gardner and K. Proffitt, Decomposing and Packing the Complete Graph with Osculating 4-Cyles, Congressus Numerantium, 153 (2001) 65-76.
  24. B. Bobga and R. Gardner, Bicyclic, Rotational, and Reverse Mixed Triple Systems, Bulletin of the Institute of Combinatorics and Its Applications.
  25. L. Brown, G. Coker, R. Gardner, and J. Kennedy, Packing the Complete Bipartite Graph with Hexagons, Congressus Numerantium, 174 (2005) 97-106.
  26. R. Gardner, C. Gwellem, and J. Lewenczuk, Maximal Cyclic 4-Cycle Packings and Minimal Cyclic 4-Cycle Coverings of the Complete Graph, Comgressus Numerantium, 180 (2006) 193-199.
Complex Analysis
  1. R. Gardner and N. K. Govil, Inequalities Concerning the Lp Norm of a Polynomial and its Derivative, Journal of Mathematical Analysis and Applications, 179(1) (1993) 208-213 (MR# 94h:41025).
  2. R. Gardner and N. K. Govil, On the Location of the Zeros of a Polynomial, Journal of Approximation Theory, 78 (1994) 286-292 (MR# 95f:30006).
  3. R. Gardner and N. K. Govil, An Lp Inequality for a Polynomial and its Derivative, Journal of Mathematical Analysis and Applications, 193 (1995) 490-496 (MR# 96e:26017), and 194(3) (1995) 720-726 (MR# 96m:26018).
  4. R. Gardner and N. K. Govil, Some Inequalities for Entire Functions of Exponential Type, Proceedings of the American Mathematical Society, 123(9) (1995) 2757-2761 (MR# 96e:30065).
  5. R. Gardner and N. K. Govil, Some Generalizations of the Enestrom-Kakeya Theorem, Acta Mathematica Hungarica, 74(1-2) (1997) 125-134 (MR# 97k:30009).
  6. R. Gardner and N. K. Govil, Functions of Exponential Type Not Vanishing in a Half-Plane, Analysis, 17 (1997) 395-402 (MR# 98m:30044).
  7. R. Gardner and N. K. Govil, Some Results on the Rate of Growth of Functions of a Complex Variable, Journal of Orissa Mathematical Society, 12-15 (1993-96) 135-140.
  8. R. Gardner and A. Weems, A Bernstein Type Lp Inequality for a Certain Class of Polynomials, Journal of Mathematical Analysis and its Applications, 219 (1998) 472-478 (MR# 99g:41012).
  9. J. Cao and R. Gardner, Restrictions on the Zeros of a Polynomial as a Consequence of Conditions on the Coefficients of Even and Odd Powers of the Variable, Journal of Computational and Applied Mathematics, 155(1) (2003) 153-162.
  10. Atif Abueida and R. Gardner, Some Generalizations of the Enestrom-Kakeya Theorem, Theory of Polynomials and Applications, Deep & Deep Publications, India (2007).
  11. R. Gardner, N. K. Govil, and A. Weems, Growth of Polynomials not Vanishing Inside a Circle, International Journal of Pure and Applied Mathematics, 13(4) (2004), 491-498.
  12. R. Gardner, N. K. Govil, and A. Weems, Some Results Concerning Rate of Growth of Polynomials, East Journal of Approximations, 10(3) (2004), 301-312.
  13. R. Gardner, N.K. Govil, and S. R. Musukula, Rate of Growth of Polynomials not Vanishing Inside a Circle, Journal of Inequalities in Pure and Applied Mathematics.
  14. A. Lin, B. Huang, J. Cao, R. Gardner, Some Results on the Location of Zeros of Analytic Functions, Chinese Journal of Engineering Mathematics, 21(5), 785-791.
Applied Probability and Statistics
  1. R. Gardner, A Statistical Analysis of Sand Grain Size in San Salvador, Bahamas, Occasional Papers of the Bahamian Field Station, 1 (1993).
  2. R. Gardner and M. Wooten, An Application of Bayes' Theorem to Population Genetics, in Logic, Probability and Science, eds. N. Shanks and R. Gardner, Poznan Studies in the Philosophy of the Sciences and the Humanities, volume 71, Rodopi, Amsterdam/Atlanta, 2000.
  3. R. Gardner, Commentary on "The Exchange Paradox, Finite Additivity, and the Principle of Dominance" by Piers Rawling," in Logic, Probability and Science, eds. N. Shanks and R. Gardner, Poznan Studies in the Philosophy of the Sciences and the Humanities, volume 71, Rodopi, Amsterdam/Atlanta, 2000.
  4. R. Gardner and R. Price, Translation Invariance and Finite Additivity in a Probability Measure on the Natural Numbers, International Journal of Mathematics and Mathematical Sciences, 29(10) (2002) 585-589.
Math Teaching
  1. R. Gardner, A Useful Notation for Rules of Differentiation, The College Journal of Mathematics, 24(4) (1993) 351-352.
  2. R. Gardner, An Application of Differential Calculus to Population Genetics, Mathematics and Computer Education, 29(3) (1995) 305-311.
  3. R. Gardner, Horizontal Asymptotes: What They are Not, The Mathematics Teacher (Reader Reflections), February 1998, 152.
Books Authored
  1. Real Analysis with an Introduction to Wavelets, with Don Hong and Jianzhong Wang, Academic Press/Elsevier Press, 2005 (ISBN: 01-235-4861-6).
Books Edited
  1. N. Shanks and R. Gardner, editors of Logic, Probability and Science, Poznan Studies in the Philosophy of the Sciences and the Humanities, volume 71, Rodopi, Amsterdam/Atlanta, 2000 (ISBN: 90-420-1253-6).

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Last updated: May 23, 2007.