English

Widely distributed clusters of the constraint satisfaction problem model d-k-CSP

Disordered Systems and Neural Networks 2019-04-09 v2

Abstract

Relation between problem hardness and solution space structure is an important research aspect. Model d-k-CSP generates very hard instances when r=1r=1 and rr is near 1, where rr represents normalized constraint density. We find that when rr is below and close to 1, the solution space contains many widely distributed well-separated small cluster-regions (a cluster-region is a union of some clusters), which should the reason that the generated instances are hard to solve.

Cite

@article{arxiv.1812.07358,
  title  = {Widely distributed clusters of the constraint satisfaction problem model d-k-CSP},
  author = {Wei Xu and Fuzhou Gong and Guangyan Zhou},
  journal= {arXiv preprint arXiv:1812.07358},
  year   = {2019}
}
R2 v1 2026-06-23T06:46:06.502Z