23 citations · 119 across the 25 of their papers we have counts for
3 papers · 1 filter
Blocking duality for -modulus on networks and applications
Nathan Albin, Jason Clemens, Nethali Fernando +1
This paper explores the implications of blocking duality---pioneered by Fulkerson et al.---in the context of -modulus on networks. Fulkerson's blocking duality is an analogue on…
Network clustering and community detection using modulus of families of loops
Heman Shakeri, Pietro Poggi-Corradini, Nathan Albin +1
We study the structure of loops in networks using the notion of modulus of loop families. We introduce a new measure of network clustering by quantifying the richness of families o…
Minimal subfamilies and the probabilistic interpretation for modulus on graphs
Nathan Albin, Pietro Poggi-Corradini
The notion of -modulus of a family of objects on a graph is a measure of the richness of such families. We develop the notion of minimal subfamilies using the method of Lagrangi…