Journal/Series papers Home
- [BDF11] A. Baker, A. Deza, and F. Franek
On the structure of run-maximal strings
to appear in Journal of Discrete algorithms
- [FJ10] F. Franek and M. Jiang
Crochemore's repetitions algorithm revisited - computing runs
to appear in International Journal of Foundations in Computer Science
- [DFHMR10] Deza, F. Franek, W. Hua, M.
Meszka, and A. Rosa
Solutions to the Oberwolfach problem for orders 18 to 40
Journal of Combinatorial Math. and Combinatorial Computing, 74 (2010), 95-102 [pdf]
- [FH09] F. Franek and J. Holub
A different proof of Crochemore-Ilie lemma concerning microruns
London Algorithmics
2008: Theory and Practice, College
Publications, pp. 1-9, 2009, [pdf]
- [DFR09] A. Dudek, F. Franek and V. Rödl
Cliques in Steiner Systems, Mathematica Slovaka, Volume 59
(2009), Number 1, pp 109-120, [pdf]
- [FY07] F. Franek and Q. Yang
An asymprotic lower bound for the maximal number of runs in a string
International Journal of Foundations in Computer Science, Volume 19
(2008),
Number 1, pp195-203, [pdf]
- [FJS07] F. Franek, C. G. Jennings,
and W.F. Smyth
A simple fast hybrid Pattern-Matching Algorithm
Journal of Discrete Algorithms, 5 (2007), pp. 682-695, [pdf]
- [FS206] F. Franek and W.F. Smyth
Reconstructing a suffix array
International Journal of Foundations in Computer Science
Volume 17 (2006), Number 6, pp. 1281-1295, [ps] or [pdf]
- [FJS06] F. Franek, J. Jiang, and W.F. Smyth
Two-Pattern Strings II -- Frequency of Occurrence and Substring Complexity
Journal of Discrete Algorithms 5 (2007), pp. 739-748, [ps] or [pdf]
- [FS105] F. Franek and W.F. Smyth
Sorting suffixes of two-pattern strings
International Journal of Foundations in Computer Science, Volume 16 (2006),
Number 6, pp. 1135-1144, [ps] or [pdf]
- [FHR04] F. Franek, J. Holub, and A. Rosa
Two-factorizations of small complete graphs II: the case of 13 vertices
Journal of Combinatorial Mathematics and Combinatorial Computing 51
(2004), pp. 89-94, [ps] or [pdf]
- [SF04] E.R.Sykes and F.Franek
A Prototype for an Intelligent Tutoring System for Students Learning to Program in
Java
International Journal of Computers and Applications. Vol 1, (2004), pp. 35-43 [pdf]
- [FST03] F. Franek, W.F. Smyth, and Y. Tang
Computing all repeats using suffix arrays
Journal of Automata, Languages and Combinatorics 8 (2003) 4,
579591.
- [FHSX03] F. Franek, J. Holub, W.F. Smyth, and X. Xiao
Computing quasi suffix arrays
Journal of Automata, Languages and Combinatorics 8 (2003) 4, 593606.
- [FLS03] F. Franek, W. Lu, and W.F. Smyth
Two-Pattern Strings I - A Recognition Algorithm
Journal of Discrete Algorithms 1 (2003), pp 445-460 [ps] or [pdf]
- [FSX03] F. Franek, W.F. Smyth, and X. Xiao
A note on Crochemore's repetitions algorithms -- a fast space-efficient approach
Nordic Journal of Computing 10 (2003), pp. 21-28, [ps] or [pdf]
- [FGLRSSY02] F. Franek, S. Gao, W. Lu, P. J. Ryan, W. F.
Smyth, Y. Sun, and L. Yang
Verifying a border array in linear time
J. Combinatorial Math. and Combinatorial Computing, 42 (2002), pp. 223-236.
[ps] or [pdf]
- [F02] F. Franek
A Note on Erdö's conjecture on multiplicities of complete subgraphs, Lower upper
bound
for cliques of size 6
Combinatorica, No. 3, Vol. 22 (2002), pp. 451-454, [ps] or [pdf]
- [FGLR02] F. Franek, T.S. Griggs, C.C. Lindner, A. Rosa
Completing the spectrum of 2-chromatic S(2,4,v)
Discrete Mathematics, 247 (2002), pp. 225-228, [ps] or [pdf]
- [FKS02] F. Franek, A. Karaman, and W.F. Smyth
Repetitions in Sturmian Strings
Theoretical Computer Science, 249 (2002), pp. 289-303, [ps] or [pdf]
- [FGGR02] F. Franek, M.J. Grannell, T.S. Griggs, A. Rosa
On Large Sets of v-1 L-intersecting Steiner Triple Systems of
Order v
Designs, Codes, and Cryptography, 26 (2002), pp. 243-256, [ps] or [pdf]
- [FFR01] F. Franek, D. Froncek, and A. Rosa
Imbalance in tournament designs
Australasian Journal of Combinatorics, 23 (2001), pp. 237-251, [ps] or [pdf]
- [FR01] F. Franek and A. Rosa
Two-factorizations of small complete graphs
Journal of Statistical Planning and Inference, 86 (2000), pp. 435-442, [ps] or [pdf]
- [F00] F. Franek
On cliques in spanning graphs of projective Steiner triple systems
Journal of Combinatorial Designs, 8 (2000), pp. 157-165, [ps] or [pdf]
- [BFH99] B. Balcar, F. Franek, and J. Hruska
Exhaustive zero-convergence structures on Boolean Algebras
Acta Universitatis Carolinae - Matematica et Physica, Charles
University, Prague, Czech Republic,
No. 2, Vol. 40 (1999), pp. 27-41, [ps] or [pdf]
- [BF97] B. Balcar and F. Franek
Structural Properties of Universal Minimal Dynamical Systems for Discrete
Semigroups
Transactions of the American Mathematical Society, No. 5, Vol. 349
(1997), pp. 1697-1727
[ps] or [pdf]
- [DFMR97] I.J. Dejter, F. Franek, E. Mendelsohn, and A. Rosa
Triangles in 2-Factorizations
Journal of Graph Theory, 26 (1997), pp. 83-94, [ps] or [pdf]
- [FGR97] F. Franek, T.S. Griggs, and A. Rosa
Large Sets of Mutually Almost Disjoint Steiner Triple Systems Not From Steiner
Quadruple Systems
Designs, codes and cryptography, 12 (1997), pp. 59-67, [ps] or [pdf]
- [BF96] I. Bruha and F. Franek
Comparison of various routines for unknown attribute value processing:
the covering paradigm
International Journal of Pattern Recognition and Artificial Intelligence, No.
8. Vol. 10 (1996),
pp. 939-955, [ps] or [pdf]
- [DFR96] I.J. Dejter, F. Franek, and A. Rosa
A completion conjecture for Kirkman triple systems
Utilitas Mathematica, 50 (1996), pp. 97-102, [ps] or [pdf]
- [FMR95] F. Franek, R. Mathon, and A. Rosa
Maximal Sets of Triangle-Factors in K15
Journal of Combinatorial Mathematics and Combinatorial Computing, 17 (1995), pp.
111-124
- [F94] F. Franek
Isomorphisms of Infinite Steiner Triple Systems
Ars Combinatoria, 38 (1994), pp. 7-25, [ps]
or [pdf]
- [FR93] F. Franek and V. Rödl
2-Colorings of complete graphs with a small number of monochromatic K4
subgraphs
Discrete Mathematics, 114 (1993), pp. 199-203, [ps] or [pdf]
- [FR92] F. Franek and V. Rödl
Ramsey Problem on Multiplicities of Complete Subgraphs in Nearly Quasirandom
Graphs
Graphs and Combinatorics, 8 (1992), pp. 299-308, [ps] or [pdf]
- [FMR92] F. Franek, R. Mathon, and A. Rosa
Maximal Partial Triple Systems of Order 13 With a Quadratic Leave: The Case of
Nine Edges
Journal of Combinatorial Mathematics and Combinatorial Computing, 11
(1992), pp. 55-60
- [FMR91] F. Franek, R. Mathon, and A. Rosa
On a class of linear spaces with 16 points
Ars Combinatorica, 31 (1991), pp. 97-104, [ps]
or [pdf]
- [FMMR90] F. Franek, R. Mathon, R.C. Mullin, and A. Rosa

Journal of Combinatorial Mathematics and Combinatorial Computing, 8
(1990), pp. 89-96
- [FMR89] F. Franek, R. Mathon, and A. Rosa
Maximal Partial Triple Systems With Hexagonal Leave
Journal of Combinatorial Mathematics and Combinatorial Computing, 5 (1989), pp.
105-118
- [F89] F. Franek
Saturated Ideals Obtained via Restricted Iterated Collapse of Huge Cardinals
in Set Theory and its Applications (ed. J. Steprans, S. Watson), Lecture Notes in
Mathematics,
No. 1401, Springer-Verlag, 1989, pp. 73-96, [ps] or [pdf]
- [BF87] B. Balcar and F. Franek
Completion of Factor Algebras of Ideals
Proceedings of American Mathematical Society, 100 (1987), pp. 205-212
fast view by pages or download (slow) zipped
pdf file [ideals.pdf.zip]
- [F85a] F. Franek
Isomorphisms of Trees
Proceedings of American Mathematical Society, 95 (1985), pp. 95-100
fast view by pages or download (slow) zipped
pdf file [trees.pdf.zip]
- [F85b] F. Franek
Certain Values of Completeness and Saturatedness of a Uniform Ideal Rule out
Certain Sizes of the Underlying Index Set
Canadian Mathematical Bulletin, 28 (1985), pp. 501-504
fast view by pages or download (slow)
zipped pdf file [certain.pdf.zip]
- [BF82] B. Balcar and F. Franek
Independent families in complete Boolean algebras
Transactions of the American Mathematical Society, No. 2, Vol. 274 (1982), pp.
607-618
fast view by pages or download (slow)
zipped pdf file [semifree.pdf.zip]