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λ > 4

  • Published:2016-06-24 Issue:7 Volume:59 Page:88-95
  • ISSN:0001-0782
  • Container-title:Communications of the ACM
  • language:en
  • Short-container-title:Commun. ACM

Author:

Barequet Gill1,Rote Günter2,Shalah Mira1

Affiliation:

1. Technion - Israel Institute of Technology, Haifa, Israel

2. Freie Universität Berlin, Germany

Abstract

The universal constant λ , the growth constant of polyominoes (think Tetris pieces), is rigorously proved to be greater than 4.

Publisher

Association for Computing Machinery (ACM)

Subject

General Computer Science

Reference30 articles.

1. Every planar map is four colorable;Appel K.;Illinois Journal of Mathematics,1977

2. Formally verified mathematics

3. Lecture Notes in Computer Science 8370 (Madrid, Spain, Mar. 10-14);Aleksandrowicz G.,2014

4. On the complexity of Jensen's algorithm for counting fixed polyominoes

5. Counting polyominoes on twisted cylinders;Barequet G.;INTEGERS: Electronic Journal of Combinatorial Number Theory,2006

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1. Space-Efficient Data Structures for Polyominoes and Bar Graphs;2024 Data Compression Conference (DCC);2024-03-19

2. Smooth squared, triangular, and hexagonal bargraphs;Applicable Analysis and Discrete Mathematics;2024

3. Loops and regions in Hitomezashi patterns;Discrete Mathematics;2024-01

4. An Asymptotic Lower Bound on the Number of Polyominoes;Annals of Combinatorics;2023-12-21

5. Automatic generation of formulae for polyominoes with a fixed perimeter defect;Computational Geometry;2023-01
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