Asymmetric tree correlation testing for graph alignment - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year : 2023

Asymmetric tree correlation testing for graph alignment


We consider the partial graph alignment problem on two correlated sparse Erdős-Rényi graphs with differing edge or node densities. Exploiting that these graphs are locally tree-like, we come to consider a hypothesis testing problem on correlated Galton-Watson trees. To solve this problem, we give several equivalent conditions for the existence of likelihood-ratio tests with vanishing type-I-error and significant power. We then show that these same conditions enable the partial graph alignment algorithm MPAlign to succeed. This paper generalizes recent results from Ganassali L., Massoulié L. and Lelarge M. to the asymmetric edge and node density case. This extension allows for greater applicability of the results and resolves a special case of the subgraph isomorphism problem.
Fichier principal
Vignette du fichier
MaierMassoulie_Asymmetric_sparse_alignement_ITW2023.pdf (243.47 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-04435165 , version 1 (02-02-2024)



Jakob Maier, Laurent Massoulié. Asymmetric tree correlation testing for graph alignment. 2023 IEEE Information Theory Workshop (ITW), Apr 2024, Saint-Malo, France. pp.503-508, ⟨10.1109/ITW55543.2023.10161653⟩. ⟨hal-04435165⟩
120 View
28 Download



Gmail Mastodon Facebook X LinkedIn More