We consider semirandom graph models for finding large independent sets, colorings, and bisections in graphs. These models generate problem instances by blending random and adversarial decisions. To generate semirandom independent set problems, an independent set S of an vertices is randomly chosen.
Heuristic graph displayer for G-Base
โ Scribed by Hiroyuki Watanabe
- Publisher
- Elsevier Science
- Year
- 1989
- Weight
- 776 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0020-7373
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โฆ Synopsis
A proto-type graph displaying system for a data base management system is described. The system uses a heuristic algorithm for drawing a graph. The system was developed to draw a schema graph for the G-Base-Data Base Management System based on a graph data model. For quiek display, the algorithm used no or very limited backtracking and it attempts to minimize unnecessary arc intersections. The graph is embedded in an integer grid plane and displayed on a window. The graph drawer has several useful features for producing visually pleasant drawings such as automatic font selection, and automatic abbreviation of long node label. It can draw both directed graphs and non-directed graphs and can display arc labels. The system is implemented using the X-window system running on Sun workstations and Sony NEWS workstations. It is written in C language and is portable to any workstation which supports the X-window system. Complex graphs, such as a graph with 149 nodes and 153 arcs, have been displayed in a visually pleasing manner.
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The computation of good, balanced graph colorings is an essential part of many algorithms required in scientific and engineering applications. Motivated by an effective sequential heuristic, we introduce a new parallel heuristic, PLF, and show that this heuristic has the same expected runtime under