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Status: Unchecked ×Keyword: constraint relaxation ×Clear all

2 claims from 1 paper

1. Physics and Astronomy › Theoretical and Computational Physics

   Effect of constraint relaxation on the minimum vertex cover problem in random graphs

   Dote and Hukushima · Physical review. E · 2024

   Unchecked2 claims
   Show 2 claims

   1. Unchecked“The analysis under the replica-symmetric (RS) ansatz clarifies that the competition leads to degeneracies in the vertex and edge states, which determine the quantitative properties of the system, such as the cover and penalty ratios.”
   2. Unchecked“A precise analysis of these effects improves the accuracy of RS approximation for the minimum cover ratio in the replica symmetry breaking (RSB) region.”