English

Local resilience of graphs

Combinatorics 2007-12-01 v2 Probability

Abstract

In this paper, we initiate a systematic study of graph resilience. The (local) resilience of a graph G with respect to a property P measures how much one has to change G (locally) in order to destroy P. Estimating the resilience leads to many new and challenging problems. Here we focus on random and pseudo-random graphs and prove several sharp results.

Keywords

Cite

@article{arxiv.0706.4104,
  title  = {Local resilience of graphs},
  author = {Benny Sudakov and Van Vu},
  journal= {arXiv preprint arXiv:0706.4104},
  year   = {2007}
}
R2 v1 2026-06-21T08:42:45.257Z