A Genetic Algorithm Scheme to Solve Complex Triangle Problem

This book provides a scheme based on genetic algorithm (GA) to solve the complex triangle elimination (CTE) problem of rectangular dualization approach in VLSI floor planning. Rectangular dualization, where each module is realized as a rectangular area, is an important approach in VLSI floor planning. It is known that if the input adjacency graph contains a complex triangle (CT), i.e. a cycle of three edges that is not a face, and then its rectangular dual does not exists. Elimination of CTs therefore becomes essential before constructing a floor plan. There are two versions of the CTE problems -weighted and unweighted adjacency graphs. The weighted CTE problem is known to be NP-complete (Sun, 1993). Recently it has been proved that unweighted problem is also NP-complete. In this paper we present a genetic algorithmic scheme to solve unweighted CTE problem and weighted CTE problem.