Random Multi-Overlap Structures for Optimization problems
Luca De Sanctis
TL;DR
This paper extends results from the Viana-Bray spin glass model to analyze the structure of solutions in random K-SAT and p-XOR-SAT optimization problems, providing insights into their complex energy landscapes.
Contribution
It introduces a novel application of random multi-overlap structures to the analysis of these optimization problems, bridging spin glass theory and computational complexity.
Findings
Characterization of solution space structure in K-SAT and p-XOR-SAT
Extension of spin glass techniques to combinatorial optimization
Insights into phase transitions in these problems
Abstract
We extend to the random K-SAT and p-XOR-SAT optimization problems the results obtained for the Viana-Bray model of diluted mean field spin glass.
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