Издательство: | Книга по требованию |
Дата выхода: | июль 2011 |
ISBN: | 978-3-6391-7486-1 |
Объём: | 136 страниц |
Масса: | 227 г |
Размеры(В x Ш x Т), см: | 23 x 16 x 1 |
A graph is an abstract structure that is used to model information. Many real-world situations can conveniently be described by means of graphs. Smaller area of a drawing increases the readability of the drawing. Compact drawing of a circuit is preferable for VLSI fabrication since a compact drawing helps us to avoid wasting of valuable wafer space. This book deals with area efficient straight-line drawings of planar graphs. We have introduced some classes of planar graphs that admit straight-line grid drawing with sub-quadratic area. We introduce ``doughnut graphs,'' a subclass of 5-connected planar graphs as well as 3-outerplanar graphs, which admits a straight-line grid drawing on a grid of area O(n). We introduce a subclass of 4-connected planar graphs that admits straight-line grid drawing with linear area. We also introduce a subclass of outerplanar graphs, which we call ``label-constrained outerplanar graphs,'' that admits straight-line grid drawings with O(nlog n) area. We give linear-time algorithms to find such drawings. We also give linear-time algorithms for recognition of these classes of graphs.
Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.