Zahidur Rahman

Approximation algorithm for Minimum Face Spanning Subgraph

A solution to Minimize Cost for the real time Distribution, Layout

• Broschiertes Buch

Produktbeschreibung

One of the newest problem in the eld of planar graphs is to nd a connected subgraph of a plane graph such that all the faces of that plane graph are covered. The faces of a plane graph are the maximal regions of the plane that contain no point used in the embedding. A face is said to be covered or spanned if at least one of the vertices of that face boundary is visited. We denote this type of subgraph as a face spanning subgraph. The minimum face spanning subgraph is the face spanning subgraph with minimum cost. Cost can be measured by number vertices or total weight of the edges. These kind of problems have practical applications in the areas like planning gas pipelines in a locality, layout of power supply lines in a printed circuit board, planning irrigation canal networks in irrigation system etc. The problem mentioned above has already been proved as an NP-complete problem and a linear time approximation algorithm has also been proposed. In this thesis we will present somecases where that algorithm fails. Then we try to devise another approximation algorithm with better approximation ratio.

Produktdetails

• Verlag: VDM Verlag Dr. Müller
• Seitenzahl: 52
• Englisch
• ISBN-13: 9783639212501
• ISBN-10: 3639212509
• Artikelnr.: 27933791

Autorenporträt

Authors of this manuscript, Md. Zahidur Rahman and Md. Sakhawat Hossain Mazumdar, both performed a vigorous research in a Graph Drawing (GD) research group under supervision of Professor Dr. Md. Saidur Rahman during their undergraduate thesis. Dr.Saidur is pondered as one of the most prominent researchers in the field of graph drawing.