### Abstract

A table cartogram of a two dimensional m × n table A of non-negative weights in a rectangle R, whose area equals the sum of the weights, is a partition of R into convex quadrilateral faces corresponding to the cells of A such that each face has the same adjacency as its corresponding cell and has area equal to the cell's weight. Such a partition acts as a natural way to visualize table data arising in various fields of research. In this paper, we give a O(mn)-time algorithm to find a table cartogram in a rectangle. We then generalize our algorithm to obtain table cartograms inside arbitrary convex quadrangles, circles, and finally, on the surface of cylinders and spheres.

Original language | English (US) |
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Title of host publication | Algorithms, ESA 2013 - 21st Annual European Symposium, Proceedings |

Pages | 421-432 |

Number of pages | 12 |

DOIs | |

State | Published - Sep 24 2013 |

Event | 21st Annual European Symposium on Algorithms, ESA 2013 - Sophia Antipolis, France Duration: Sep 2 2013 → Sep 4 2013 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 8125 LNCS |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Other

Other | 21st Annual European Symposium on Algorithms, ESA 2013 |
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Country | France |

City | Sophia Antipolis |

Period | 9/2/13 → 9/4/13 |

### ASJC Scopus subject areas

- Theoretical Computer Science
- Computer Science(all)

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## Cite this

*Algorithms, ESA 2013 - 21st Annual European Symposium, Proceedings*(pp. 421-432). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 8125 LNCS). https://doi.org/10.1007/978-3-642-40450-4_36