The graph alignment problem: fundamental limits and efficient algorithms

arXiv:2404.12418v1 Announce Type: cross
Abstract: This thesis studies the graph alignment problem, the noisy version of the graph isomorphism problem, which aims to find a matching between the nodes of two graphs which preserves most of the edges. Focusing on the planted version where the graphs are random, we are interested in understanding the fundamental information-theoretical limits for this problem, as well as designing and analyzing algorithms that are able to recover the underlying alignment in the data. For these …

abstract algorithms alignment arxiv cs.ds cs.lg fundamental graph graphs math.pr nodes random stat.ml studies the graph thesis type