Abstract:
The problem addressed in this paper is that of decomposing a weighted graph into a specified number of subgraphs such that these subgraphs have balanced sums of vertex weights and minimal sums of edge weights. To find a reasonable solution to this intractable problem, we suggest an approximate objective function that can be minimized by heuristic procedures. The heuristic procedure that we propose is based on a hybrid genetic algorithm (HGA) for decomposing a graph followed by an iterative improvement heuristic for tuning the HGA's results. We applied our proposed heuristics to several graphs and obtained promising results.
Citation:
Tabbara, H., Dana, T., & Mansour, N. (2000). Heuristics for graph decomposition. In Electronics, Circuits and Systems, 2000. ICECS 2000. The 7th IEEE International Conference on (Vol. 2, pp. 650-653). IEEE.