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20072026
most citedThe CHEOPS mission

292 citations

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math.CO2020

A modular characterization of supersolvable lattices

Stephan Foldes, Russ Woodroofe

We characterize supersolvable lattices in terms of a certain modular type relation. McNamara and Thomas earlier characterized this class of lattices as those graded lattices having…

math.CO2018★ 7 cited

Defining rough sets using tolerances compatible with an equivalence

Jouni Järvinen, László Kovács, Sándor Radeleczki

We consider tolerances compatible with an equivalence on , meaning that the relational product is included in . We present the essential properties of …

math.CO2016★ 16 cited

Representing regular pseudocomplemented Kleene algebras by tolerance-based rough sets

Jouni Järvinen, Sándor Radeleczki

We show that any regular pseudocomplemented Kleene algebra defined on an algebraic lattice is isomorphic to a rough set Kleene algebra determined by a tolerance induced by an irred…

math.CO2016

Log-concavity of rows of Pascal type triangles

Stephan Foldes, Laszlo Major

Menon's proof of the preservation of log-concavity of sequences under convolution becomes simpler when adapted to 2-sided infinite sequences. Under assumption of log-concavity of t…

math.CO2013

Interval decomposition lattices are balanced

S. Foldes, S. Radeleczki

Intervals in binary or n-ary relations or other discrete structures generalize the concept of interval in a linearly ordered set. Join-irreducible partitions into intervals are cha…

math.CO2012★ 2 cited

A general framework for island systems

Stephan Foldes, Eszter K. Horváth, Sándor Radeleczki +1

The notion of an island defined on a rectangular board is an elementary combinatorial concept that occurred first in [G. Czédli, The number of rectangular islands by means of distr…

math.CO2007

A half-space approach to order dimension

Stephan Foldes, Jeno Szigeti

The aim of the present paper is to investigate the half-spaces in the convexity structure of all quasiorders on a given set and to use them in an alternative approach to classical…