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Full-Text Articles in Physical Sciences and Mathematics
An Improved Exact Graph Coloring Algorithm, Thomas J. Sager, Shi-Jen Lin
An Improved Exact Graph Coloring Algorithm, Thomas J. Sager, Shi-Jen Lin
Computer Science Technical Reports
We present two algorithms for exact graph coloring of the vertex sequential with dynamic reordering of vertices variety. The first, W-DEG, is a straight-forward improvement on Korman’s original algorithm. The second, SWAP2, is a not so straight forward improvement on Korman’s algorithm and appears to offer the best performance of known exact graph coloring algorithms.
A Color-Exchange Algorithm For Exact Graph Coloring, Thomas J. Sager, Shi-Jen Lin
A Color-Exchange Algorithm For Exact Graph Coloring, Thomas J. Sager, Shi-Jen Lin
Computer Science Technical Reports
DEXCH, a color-exchange exact graph coloring algorithm is presented. On many classes of graphs, DEXCH can, in the mean, find the chromatic number of a graph considerably faster than the DSATUR algorithm. The improvement over DSATUR stems from the ability to reorganize the subset of colored vertices and to detect in certain instances the existence of a complete subgraph of cardinality equal to the number of colors used in the best coloring found so far. The mean improvement over DSATUR is greatest on high edge-density graphs attaining the value of 42% on random graphs of edge-density 0.7 on 64 vertices.