Publications
and citations
[1] E. K. Horváth: Invariance groups of threshold functions, Acta Cybernetica 11 (1994), 325-332. PDF
[2] E. K. Horváth: The Slupecki criterion by duality, Discussiones Mathematicae (General Algebra and Applications) 21 (2001), 5-10. PDF
[3] G. Czédli, E. K. Horváth and L. Klukovits, Associativity in monoids and categories, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica 40 (2001) 47-53 PDF
[4] I. Chajda and E. K. Horváth: A triangular scheme for congruence distributivity, Acta Sci. Math. (Szeged), 68 (2002), 29-35. PDF
(1)
K. A. Kearnes and E.W.
Kiss, The triangular principle is equivalent to the triangular scheme, Algebra
Universalis 55 (2005), 373-383.
(2)
Aldo Figallo Jr. and Alicia Ziliani, A Note on Hilbert Algebras,
Southeast Asian Bulletin of Mathematics (2008) 32: 667-676.
[5] I. Chajda, G. Czédli and E. K. Horváth: Shifting Lemma and Shifting lattice identities, Algebra Universalis, 50 (2003), 51-60. PDF
(3)
K. A. Kearnes and E.W.
Kiss, The triangular principle is equivalent to the triangular scheme, Algebra
Universalis 55 (2005), 373-383.
[6] G. Czédli and E. K. Horváth: Congruence distributivity and modularity permit tolerances, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica, 41 (2002) 39-42. PDF
(4)
I. Chajda and
(5)
I. Chajda and S. Radeleczki, Congruence schemes and their applications,
CMUC (Commentationes Math. Univ. Carolinae) 46 (2005), 1-14.
(6)
P. Lipparini: A local
proof for a tolerance intersection property, Algebra Universalis 54 (2005),
273-277.
(7)
P. Lipparini: From
congruence identities to tolerance identities, Acta Sci. Math. (Szeged ) 73
(2007), 31-51.
(8)
P. Lipparini: Tolerance
intersection properties and subalgebras of squares, in: Logic Colloquium 2004
(edited by A. Andretta, K. Kearnes and D. Zambella), Cambridge University Press
2007 (ISBN: 0521884241), pp. 109-122.
(9)
B. Skublics, Congruence
modularity at 0, Algebra Universalis 66: (1-2) 63-67 (2011)
(10)
O. M. Mamedov, A. Molkhasi: On
congruence schemes and compatible relations of algebras, TRANSACTIONS OF
NATIONAL ACADEMY OF SCIENCES OF AZERBAIAN: SERIES OF PHYSICAL-TECHNICAL AND
MATHEMATICAL SCIENCES, 29: (4) pp.
101-106. (2009).
(11) Mamedov OM, Molkhasi: Some properties of the 4- and 5-majority algebras, Transactions of NAS of Azerbaijan 31: (1) 87-96 (2011)
(12)
P. Lipparini,
Representable tolerances in varieties, Acta Sci Math
(Szeged) 79: (1-2) 3-16
(2013)
[7] I. Chajda, G. Czédli and E. K. Horváth: Trapezoid Lemma and congruence distributivity, Math. Slovaka, 53 (2003), No3, 247-253. PDF
(13)
K. A. Kearnes and E.W. Kiss, The triangular principle is equivalent to
the triangular scheme, Algebra Universalis 55 (2005), 373-383.
(14)
O. M.
Mamedov, A. Molkhasi: On congruence schemes and compatible relations of
algebras, TRANSACTIONS OF NATIONAL ACADEMY OF SCIENCES OF AZERBAIAN: SERIES OF
PHYSICAL-TECHNICAL AND MATHEMATICAL SCIENCES, 29: (4) pp. 101-106. (2009).
(15)
Mamedov OM, Molkhasi:
Some properties of the 4- and 5-majority algebras, Transactions
of NAS of Azerbaijan 31: (1) 87-96 (2011)
[8] G. Czédli and E. K. Horváth: All congruence lattice identities implying modularity have Mal'tsev conditions, Algebra Universalis, 68 (2002), 29-35. PDF
(16)
K. A. Kearnes and E.W. Kiss, The triangular principle is equivalent to
the triangular scheme, Algebra Universalis 55 (2005), 373-383.
(17)
P. Lipparini, A local
proof for a tolerance intersection property, Algebra Universalis 54 (2005),
273-277.
(18)
P. Lipparini: From
congruence identities to tolerance identities, Acta Sci. Math. (Szeged ) 73
(2007), 31-51.
(19)
P. Lipparini: Tolerance
intersection properties and subalgebras of squares, in: Logic Colloquium 2004
(edited by A. Andretta, K. Kearnes and D. Zambella), Cambridge University Press
2007 (ISBN: 0521884241), pp. 109-122.
(20)
R. McKenzie and John Snow: Congruence modular varieties: commutator theory and its uses. Structural theory of automata, semigroups, and universal
algebra, Book Series: NATO SCIENCE
SERIES, SERIES II: MATHEMATICS, PHYSICS AND CHEMISTRY, Volume: 207, Pages:
273-329, Published: 2005.
(21)
B. Skublics, Congruence
modularity at 0, Algebra Universalis 66: (1-2) 63-67 (2011)
(22)
P. Lipparini, Representable
tolerances in varieties, Acta Sci. Math. (Szeged) 79: (1-2) 3-16 (2013)
(23)
K.
Balog and B. Skublics: On congruence distributivity of ordered algebras with
constants, DISCUSSIONES
MATHEMATICAE GENERAL ALGEBRA AND APPLICATIONS 31: pp. 47-59. (2011)
[9] G. Czédli and E.
K. Horváth: Reflexive relations and Mal'tsev conditions for congruence lattice
identities in modular varieties, Acta Univ. Palacki. Olomuc., Fac. rer. nat.,
Mathematica, 41 (2002) 43-53. PDF
(24) P. Lipparini, Representable tolerances in varieties, Acta Sci Math (Szeged) 79: (1-2) 3-16 (2013)
[10.] G. Czédli, E. K. Horváth and S. Radeleczki: On tolerance lattices of algebras in congruence modular varieties, Acta Math. Hungar., 100 (1-2) (2003), 9-17.
(25)
H.-J. Bandelt and V. Chepoi: The algebra of metric betweenness I:
Subdirect representation and retraction, European J. Combinatorics 28/6
(2007), 1640-1661.
(26)
Joanna Grygiel: Minimal distributive lattices with a given skeleton, Contributions
to general algebra. 16, 99-105, Heyn, Klagenfurt, 2005.
(27)
K. Kaarli and V.
Kuchmei: Order affine completeness of lattices with Boolean congruence lattices,
Czechoslovak Math. J. 57 (132) (2007), 1049-1065.
(28)
P. Lipparini: A local
proof for a tolerance intersection property, Algebra Universalis 54 (2005),
273-277.
(29)
P. Lipparini: From
congruence identities to tolerance identities, Acta Sci. Math. (Szeged ) 73
(2007), 31-51.
(30)
P. Lipparini: Tolerance
intersection properties and subalgebras of squares, in: Logic Colloquium 2004
(edited by A. Andretta, K. Kearnes and D. Zambella), Cambridge University Press
2007 (ISBN: 0521884241), pp. 109-122.
(31)
P Lipparini, Representable
tolerances in varieties, Acta Sci. Math. (Szeged) 79: (1-2) 3-16 (2013)
[11.] G. Czédli, E. K. Horváth and P. Lipparini: Optimal Mal'tsev conditions for congruence modular varieties, Algebra Universalis, 53 (2005) 267-279 PDF
(32)
R. McKenzie and John Snow: Congruence modular varieties: commutator theory and its uses. Structural theory of automata, semigroups, and universal
algebra, Book Series: NATO SCIENCE
SERIES, SERIES II: MATHEMATICS, PHYSICS AND CHEMISTRY, Volume: 207, Pages:
273-329, Published: 2005.
(33)
B. Skublics, Congruence
modularity at 0, Algebra Universalis 66: (1-2) 63-67 (2011)
(34)
K. Balog and B. Skublics: On congruence
distributivity of ordered algebras with constants, DISCUSSIONES MATHEMATICAE GENERAL
ALGEBRA AND APPLICATIONS 31: pp. 47-59. (2011)
[12.] I. Chajda and E. K. Horváth: A scheme for congruence semidistributivity Discussiones Math., 23 (2003) 13-18. PDF
[13.] E. K. Horváth, Z. Németh, G. Pluhár: The number of triangular islands on a triangular grid , Periodica Mathematica Hungarica, 58(2009), 25--34, earlier title: Full segments on the triangular grid PDF
(35)
G. Czédli and E.T.
Schmidt: CDW-independent
subsets in distributive lattices, Acta Sci. Math. (
(36)
G. Czédli, M. Hartmann and E.T. Schmidt: CD-independent subsets in distributive lattices, Publicationes Mathematicae
Debrecen, 74/1-2 (2009), 127-134.
(37)
G. Czédli, The number of rectangular islands by means of
distributive lattices, European J. Combinatorics 30 (2009) 1, 208—215.
(38)
Zs. Lengvárszky, Notes
on systems of triangular islands, Acta Sci. Math. (Szeged) 75 (2009), 369—376.
(39)
Zs. Lengvárszky, The
size of maximal systems of square islands, European Journal of Combinatorics,
30 (2009) 889-892.
(40)
A. Máder, R. Vajda:
Elementary Approaches to the Teaching of the Combinatorial Problem of
Rectangular Islands, International Journal of Computers
for Mathematical Learning, Volume 15, Number 3, 267-281, DOI: 10.1007/s10758-010-9171-9
(41)
Zs.Lengvárszky, P. P.
Pach: A note on systems of rectangular islands: The continouos case, Acta Scientiarum Mathematicarum 77: (1-2) pp. 27-34. (2011) 2011 -2011.
(42)
A. Máder, G. Makay: The
maximum number of rectangular islands, THE TEACHING
OF MATHEMATICS (ISSN: 1451-4966) 14: (1) pp. 31-44. (2011)
(43) P. P. Pach, G. Pluhár, A. Pongrácz, Cs. Szabó: The possible number of islands on the sea, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (ISSN: 0022-247X) 375: (1) pp. 8-13. (2011)
(44)
T. Eccles, The minimum
sizes of maximal systems of brick islands, Acta Sci.
Math. (Szeged) 78: pp.
375-387. (2012)
(45)
G. Czédli: CD-independent
subsets in meet-distributive lattices, ACTA MATHEMATICA HUNGARICA pp. 1-17. (2013)
(46)
Zs. Lengvárszky,
Systems of islands with continuous height functions, JOURNAL
OF THE AUSTRALIAN MATHEMATICAL SOCIETY 94: (3)
pp. 385-396. (2013)
[14.] E. K. Horváth, G.
Horváth, Z. Németh, Cs. Szabó: The number of square islands on a rectangular
sea, Acta Sci. Math. (Szeged) 76 (2010) 35-48 PDF
(47)
G. Czédli and E.T. Schmidt: CDW-independent subsets in distributive lattices, Acta Sci. Math. (Szeged
) 75 (2009), 49-53.
(48)
G. Czédli, M. Hartmann and E.T. Schmidt: CD-independent subsets in distributive lattices, Publicationes
Mathematicae Debrecen, 74/1-2 (2009), 127-134.
(49)
Zs. Lengvárszky , P. P.
Pach A note on systems of rectangular islands: the continuous case, ACTA SCI MATH (SZEGED) 77: (1-2)
27-34 (2011)
(50)
T. Eccles : The minimum
sizes of maximal systems of brick islands, Acta
Scientiarum Mathematicarum 78: (3-4) 375-387 (2012)
(51) A. Máder, G. Makay, The maximum number of rectangular
islands, TEACHING MATHEMATICS 14: (1) 31-44 (2011)
(52)
Zs. Lengvárszky,
Sistems of islands with continuous height functions, JOURNAL
OF THE AUSTRALIAN MATHEMATICAL SOCIETY 94: (3)
pp. 385-396. (2013)
(53)
Pach PP, G. Pluhár,
A. Pongrácz, Cs. Szabó: The possible number of islands on the sea, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
375: (1) pp. 8-13. (2011)
(54)
G.
Czédli: CD-independent subsets in meet-distributive lattices, ACTA MATHEMATICA HUNGARICA 143: (1) pp. 232-248.
(2014)
[15.] J. Barát, P. Hajnal, E.K.
Horváth: Elementary proof techniques for the maximum number of islands,
European Journal of Combinatorics, 32 (2011)
276–281, earlier title: Islands, lattices and trees PDF
(55)
G. Czédli and E.T. Schmidt: CDW-independent subsets in distributive lattices, Acta Sci. Math. (Szeged ) 75 (2009), 49-53.
(56)
A. Máder, R. Vajda:
Elementary Approaches to the Teaching of the Combinatorial Problem of
Rectangular Islands, International Journal of Computers for Mathematical Learning Volume 15,
Number 3, 267-281, DOI: 10.1007/s10758-010-9171-9
(57)
T. Eccles : The minimum
sizes of maximal systems of brick islands, Acta
Scientiarum Mathematicarum 78: (3-4) 375-387 (2012)
(58)
A. Máder, G.
Makay, The maximum number of rectangular islands, TEACHING
MATHEMATICS 14: (1) 31-44
(2011)
[16.] E.K. Horváth, B. Seselja, A. Tepavcevic: Cut approach
to islands in rectangular fuzzy relations, Fuzzy Sets and Systems, 161
(2010) 3114–312
(59)
A. Máder, G.
Makay, The maximum number of rectangular islands, TEACHING
MATHEMATICS 14: (1) 31-44
(2011)
(60)
G. Czédli:
CD-independent subsets in meet-distributive lattices, ACTA MATHEMATICA HUNGARICA pp. 1-17. (2013)
(61) Zs. Lengvárszky, Systems of islands with continuous height
functions, JOURNAL OF THE AUSTRALIAN MATHEMATICAL
SOCIETY 94: (3) pp.
385-396. (2013)
[17.] E. K. Horváth, A. Máder, A. Tepavcevic: One dimensional Czédli type islands, The College Mathematics Journal (CMJ), Vol 42, No 5, November 2011, 374-378. PDF (For the extended version with proofs please send email to horeszt@math.u-szeged.hu)
[18.] E. K. Horváth, S. Radeleczki: A note on CD-independent subsets, Acta Sci. Math. (Szeged) 78 (2012), 3-24. PDF
(62) CD-independent subsets in meet-distributive
lattices, ACTA
MATHEMATICA HUNGARICA 143: (1) pp. 232-248. (2014),
(63) S. Kerkhoff, F. M. Schneider: Directed tree
decompositions, LECTURE NOTES IN ARTIFICIAL INTELLIGENCE (ISSN: 0302-9743) 8478,: pp. 80-95. (2014)
[19.] E. K. Horváth, B. Seselja,
A. Tepavcevic: Cardinality of height function’s range in case of maximally many
rectangular islands– computed by cuts, Cent. Eur. J. Math., 2013, 11(2),
296-307. PDF
(64) G. Czédli: CD-independent subsets in
meet-distributive lattices, ACTA MATHEMATICA HUNGARICA 143: (1) pp.
232-248. (2014).
[20.] E. K. Horváth: Survey on islands – a possible research topic, even for students,
Interesting Mathematical problems in Sciences and in Everyday Life, 2011, eds János Karsai and Róbert Vajda. PDF [21.] S. Foldes, E.K. Horváth, S.
Radeleczki, T. Waldhauser: A general framework for island systems, G. Czédli: CD-independent subsets in meet-distributive lattices, ACTA MATHEMATICA HUNGARICA 143:
(1) pp. 232-248. (2014), PDF
(65) G. Czédli: CD-independent subsets in
meet-distributive lattices, ACTA MATHEMATICA HUNGARICA 143: (1) pp.
232-248. (2014),
[22.] E. K. Horváth, G. Makay, R. Pöschel, T. Waldhauser: Invariance groups of finite functions and orbit equivalence of permutation groups, , Open Math. 13 (2015), 83-95. PDF
(66)
E. Lehtonen: On functions with a
unique identification minor, Order
(2015), DOI: 10.1007/s11083-015-9352-1
[23.] E. K. Horváth: Islands: from coding theory to enumerative combinatorics and to lattice theory – overview and open problems, PDF
(67)
G.
Czédli: CD-independent subsets in meet-distributive lattices, ACTA MATHEMATICA HUNGARICA 143: (1) pp.
232-248. (2014)
[24. ] E. K. Horváth, B. Seselja, A. Tepavcevic: A note on lattice variant of thresholdness of Boolean functions, accepted for publication in Miskolc Matematical notes.
[25.] E. K. Horváth, B. Seselja, A. Tepavcevic: Isotone lattice-valued Boolean functions and cuts, accepted for publication in Acta Sci. Math. Szeged.
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Lattices and invariants, PhD Theses, 2005. Szeged.\\server\html\cdindependent.pdf
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