Optimal and Random Partitions of Random Graphs

The behavior of random graphs with respect to graph partitioning is considered. Conditions are identified under which random graphs cannot be partitioned well, i.e., a random partition is likely to be almost as good as an optimal partition

Local Search for the Retrieval Layout Problem

An information graph is a data representation for object-oriented databases in which each object is a vertex and each relationship between objects is an edge. The retrieval layout problem is to arrange the storage of an information graph on a physical medium so as to use storage efficiently and to allow rapid navigation along paths in the graph. This paper describes an empirical study of the performance of various local search heuristics for the retrieval layout problem, including local optimization, simulated annealing, tabu search, and genetic algorithms. In addition, the hierarchical hybrid approach is introduced

Heuristics for Laying Out Information Graphs

The concept of an information graph is introduced as a representation for object-oriented databases. The retrieval layout problem is an optimization problem defined over the class of information graphs. The layout abstracts the space efficiency of representing the database as well as the time efficiency of information retrieval. Heuristics for the retrieval layout problem are identified and evaluated experimentally. A new heuristic, connectivity traversal, is found to be fast and to produce high quality layouts