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 categoriesActa 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 S. Radeleczki, 0-conditions and congruence schemes, Acta Math. Univ. Comenian. (N.S.)} 72 (2003), 177-184.

(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.

[7] I. Chajda, G. Czédli and E. K. Horváth: Trapezoid Lemma and congruence distributivity, Math. Slovaka, 53 (2003), No3, 247-253. PDF

(9)   K. A. Kearnes and E.W. Kiss, The triangular principle is equivalent to the triangular scheme, Algebra Universalis 55 (2005), 373-383.

[8] G. Czédli and E. K. Horváth: All congruence lattice identities implying modularity have Mal'tsev conditions, Algebra Universalis, 68 (2002), 29-35. PDF

(10)          K. A. Kearnes and E.W. Kiss, The triangular principle is equivalent to the triangular scheme, Algebra Universalis 55 (2005), 373-383.

(11)          P. Lipparini, A local proof for a tolerance intersection property, Algebra Universalis 54 (2005), 273-277.

(12)          P. Lipparini: From congruence identities to tolerance identities, Acta Sci. Math. (Szeged ) 73 (2007), 31-51.

(13)          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.

(14)          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.

[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

[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. 

PDF

(15)          H.-J. Bandelt and V. Chepoi: The algebra of metric betweenness I: Subdirect representation and retraction, European J. Combinatorics  28/6 (2007), 1640-1661.

(16)          Joanna Grygiel: Minimal distributive lattices with a given skeleton, Contributions to general algebra. 16, 99-105, Heyn, Klagenfurt, 2005.

(17)          K. Kaarli and V. Kuchmei: Order affine completeness of lattices with Boolean congruence lattices, Czechoslovak Math. J. 57 (132) (2007), 1049-1065.

(18)          P. Lipparini: A local proof for a tolerance intersection property, Algebra Universalis 54 (2005), 273-277.

(19)          P. Lipparini: From congruence identities to tolerance identities, Acta Sci. Math. (Szeged ) 73 (2007), 31-51.

(20)          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.

[11.] G. Czédli, E. K. Horváth and P. Lipparini: Optimal Mal'tsev conditions for congruence modular varieties, Algebra Universalis, 53 (2005) 267-279  PDF

(21)          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.

[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

(22)           G. Czédli and E.T. Schmidt: CDW-independent subsets in distributive lattices, Acta Sci. Math. (Szeged ) 75 (2009), 49-53.

(23)          G. Czédli, M. Hartmann and E.T. Schmidt: CD-independent subsets in distributive lattices, Publicationes Mathematicae Debrecen, 74/1-2 (2009), 127-134.

(24)          G. Czédli,  The number of rectangular islands by means of distributive lattices, European J. Combinatorics 30 (2009) 1, 208—215.

(25)          Zs. Lengvárszky, Notes on systems of triangular islands, Acta Sci. Math. (Szeged) 75 (2009), 369—376.

(26)          Zs. Lengvárszky, The size of maximal systems of square islands, European Journal of Combinatorics, 30 (2009) 889-892.

(27)          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

[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

(28)          G. Czédli and E.T. Schmidt: CDW-independent subsets in distributive lattices, Acta Sci. Math. (Szeged ) 75 (2009), 49-53.

(29)          G. Czédli, M. Hartmann and E.T. Schmidt: CD-independent subsets in distributive lattices, Publicationes Mathematicae Debrecen, 74/1-2 (2009), 127-134.

[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

(30)          G. Czédli and E.T. Schmidt: CDW-independent subsets in distributive lattices, Acta Sci. Math. (Szeged ) 75 (2009), 49-53.

(31)          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

[16.] E.K. Horváth, B. Seselja, A. Tepavcevic: Cut approach to islands in rectangular fuzzy relations, Fuzzy Sets and Systems, 161 (2010) 3114–3126 PDF

[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

[19.] E. K. Horváth, B. Seselja, A. Tepavcevic: Cardinality of height function’s range in case of maximally many rectangular islandscomputed by cuts, Cent. Eur. J. Math., 2013, 11(2), 296-307.PDF

[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, submitted, http://arxiv.org/abs/1210.1741

[22.] E. K. Horváth, G. Makay, R. Pöschel, T. Waldhauser: Invariance groups of finite functions and orbit equivalence of permutation groups, submitted, http://arxiv.org/abs/1210.1015

 

 

Books, lecture notes

[I.] Kalmárné Németh Márta, Kámán Tamás, Katonáné Horváth Eszter: Diszkrét matematikai feladatok, Polygon 2003.

Theses

Lattices and invariants, PhD Dissertation, Szeged, 2005. PDF

PR articles (In Hungarian)

[A.] Interjú Pósfai Jánossal (Bolyai Intézet honlapja), 2008

[B.] Interjú Kosztolányi Józseffel (AlmaMaterial), 2008

[C.] Interjú Maróti Miklóssal (Almamaterial) 2008

[D.-E.] Interjú Pintér Lajos – Pintér Lajosné—Katz Sándor  , I.-II. rész, (Almamaterial), 2008