The possible number of islands on the sea

DOI10.1016/j.jmaa.2010.08.012zbMath1291.05020OpenAlexW1993813255MaRDI QIDQ616686

András Pongrácz, Csaba Szabó, Péter Pál Pach, Gabriella Pluhár

Publication date: 12 January 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.08.012

zbMATH Keywords

continuumcountablemaximal island system

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Combinatorial inequalities (05A20) Structure and representation theory of distributive lattices (06D05)

Related Items

CD-independent subsets in meet-distributive lattices. ⋮ Cardinality of height function's range in case of maximally many rectangular islands -- computed by cuts ⋮ SYSTEMS OF ISLANDS WITH CONTINUOUS HEIGHT FUNCTIONS

Cites Work

• The number of triangular islands on a triangular grid
• Weakly independent subsets in lattices
• The number of rectangular islands by means of distributive lattices
• The minimum cardinality of maximal systems of rectangular islands
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