Geometric Etudes in Combinatorial Mathematics

DOI10.1007/978-0-387-75470-3zbMath1203.52007OpenAlexW4214592977MaRDI QIDQ5423211

Alexander Soifer

Publication date: 23 October 2007

Full work available at URL: https://doi.org/10.1007/978-0-387-75470-3

zbMATH Keywords

convex polygonRamsey numbergraphstilingHelly's theoremconstant widthpolyominoesHadwiger's covering problemBorsuk problemchromatic number of the planetetrominoes

Mathematics Subject Classification ID

Generalized Ramsey theory (05C55) Other problems of combinatorial convexity (52A37) Discrete geometry (52C99) Convex sets in (2) dimensions (including convex curves) (52A10) Helly-type theorems and geometric transversal theory (52A35) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to combinatorics (05-01) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Polyominoes (05B50) Popularization of mathematics (00A09) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to convex and discrete geometry (52-01)

Related Items (3)

\(\mathsf{NP}\)-completeness of the game Kingdomino\(^\text{TM}\) ⋮ A counterexample to a conjecture of Grünbaum on piercing convex sets in the plane ⋮ More Fun with L-Trominoes in Three and Higher Dimensions

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