### Abstract

Tabular forms are commonly used in software. Those tabular forms are represented as rectangular dissections. In rectangular dissections, ruled line oriented operations such as cell merge, line and column operations are often used. With respect to ruled line oriented operations, 8k-ary grid graphs have been introduced as models of rectangular dissections that provide fast algorithms. This paper surveys octal and hexa-decimal grid graph models of rectangular dissections. First, octal grids, called octgrids, for single layer rectangular dissections and related algorithms are introduced. Next, hexa-decimal grid graphs for multiple layer rectangular dissections, called hexadeci-grids, and related algorithms are introduced. Furthermore, tetraicosa-grid graphs for rectangular solid dissections for CG applications, called tetraicosa-grids and related algorithms are introduced.

Original language | English |
---|---|

Pages (from-to) | 465-477 |

Number of pages | 13 |

Journal | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |

Volume | 8373 |

DOIs | |

Publication status | Published - 2014 |

### Fingerprint

### Keywords

- modeling of spreadsheets
- rectangular dissections
- rectangular piped dissections
- ruled line oriented transformations

### ASJC Scopus subject areas

- Computer Science(all)
- Theoretical Computer Science

### Cite this

*Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)*,

*8373*, 465-477. https://doi.org/10.1007/978-3-642-54624-2_23

**8k-ary Grid graph models of tabular forms.** / Yaku, Takeo; Anada, Koichi; Anzai, Koushi; Koka, Shinji; Miyadera, Youzou; Tsuchida, Kensei.

Research output: Contribution to journal › Article

*Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)*, vol. 8373, pp. 465-477. https://doi.org/10.1007/978-3-642-54624-2_23

}

TY - JOUR

T1 - 8k-ary Grid graph models of tabular forms

AU - Yaku, Takeo

AU - Anada, Koichi

AU - Anzai, Koushi

AU - Koka, Shinji

AU - Miyadera, Youzou

AU - Tsuchida, Kensei

PY - 2014

Y1 - 2014

N2 - Tabular forms are commonly used in software. Those tabular forms are represented as rectangular dissections. In rectangular dissections, ruled line oriented operations such as cell merge, line and column operations are often used. With respect to ruled line oriented operations, 8k-ary grid graphs have been introduced as models of rectangular dissections that provide fast algorithms. This paper surveys octal and hexa-decimal grid graph models of rectangular dissections. First, octal grids, called octgrids, for single layer rectangular dissections and related algorithms are introduced. Next, hexa-decimal grid graphs for multiple layer rectangular dissections, called hexadeci-grids, and related algorithms are introduced. Furthermore, tetraicosa-grid graphs for rectangular solid dissections for CG applications, called tetraicosa-grids and related algorithms are introduced.

AB - Tabular forms are commonly used in software. Those tabular forms are represented as rectangular dissections. In rectangular dissections, ruled line oriented operations such as cell merge, line and column operations are often used. With respect to ruled line oriented operations, 8k-ary grid graphs have been introduced as models of rectangular dissections that provide fast algorithms. This paper surveys octal and hexa-decimal grid graph models of rectangular dissections. First, octal grids, called octgrids, for single layer rectangular dissections and related algorithms are introduced. Next, hexa-decimal grid graphs for multiple layer rectangular dissections, called hexadeci-grids, and related algorithms are introduced. Furthermore, tetraicosa-grid graphs for rectangular solid dissections for CG applications, called tetraicosa-grids and related algorithms are introduced.

KW - modeling of spreadsheets

KW - rectangular dissections

KW - rectangular piped dissections

KW - ruled line oriented transformations

UR - http://www.scopus.com/inward/record.url?scp=84958524113&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84958524113&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-54624-2_23

DO - 10.1007/978-3-642-54624-2_23

M3 - Article

AN - SCOPUS:84958524113

VL - 8373

SP - 465

EP - 477

JO - Lecture Notes in Computer Science

JF - Lecture Notes in Computer Science

SN - 0302-9743

ER -