English

Generalized Cores

Data Structures and Algorithms 2013-01-22 v1 Discrete Mathematics

Abstract

Cores are, besides connectivity components, one among few concepts that provides us with efficient decompositions of large graphs and networks. In the paper a generalization of the notion of core of a graph based on vertex property function is presented. It is shown that for the local monotone vertex property functions the corresponding cores can be determined in O(mmax(Δ,logn))O(m \max (\Delta, \log n)) time.

Keywords

Cite

@article{arxiv.cs/0202039,
  title  = {Generalized Cores},
  author = {V. Batagelj and M. Zaveršnik},
  journal= {arXiv preprint arXiv:cs/0202039},
  year   = {2013}
}