8k-ary Grid Graph Models of Tabular Forms

• Published in: Specification, Algebra, and Software pp. 465 - 477
• Main Authors: Yaku, Takeo, Anada, Koichi, Anzai, Koushi, Koka, Shinji, Miyadera, Youzou, Tsuchida, Kensei
• Format: Book Chapter
• Language: English
• Published: Berlin, Heidelberg Springer Berlin Heidelberg 2014
• Series: Lecture Notes in Computer Science
• Subjects: modeling of spreadsheets; rectangular dissections; rectangular piped dissections; ruled line oriented transformations
• ISBN: 3642546234; 9783642546235
• ISSN: 0302-9743; 1611-3349
• DOI: 10.1007/978-3-642-54624-2_23

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.