Papers/2609.17633
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One Color Preprocessing Improves DSATUR

Not provided in the abstract

graph coloringheuristicssemidefinite programmingalgorithm improvement
2609.17633
Builder Relevance
70%
1h ago

Abstract

SSLD improves the DSATUR heuristic for the Graph Coloring Problem by preprocessing a first good color class using Semidefinite Programming.

Reality Card

Core Claim

SSLD matches or beats DSATUR in almost every case across over 1600 benchmark instances, demonstrating the effectiveness of SDP-guided preprocessing.

Method / Result

SSLD is roughly 195 times slower than DSATUR but outperforms the naive GISD baseline.

Limitations

The significant runtime cost of SSLD compared to DSATUR may limit its practical application.

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