413 citations · 934 across the 23 of their papers we have counts for
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math.CO2024
Eulerian magnitude homology: subgraph structure and random graphs
Chad Giusti, Giuliamaria Menara
In this paper we explore the connection between the ranks of the magnitude homology groups of a graph and the structure of its subgraphs. To this end, we introduce variants of magn…
math.CO2016★ 8 cited
On open and closed convex codes
Joshua Cruz, Chad Giusti, Vladimir Itskov +1
Neural codes serve as a language for neurons in the brain. Convex codes, which arise from the pattern of intersections of convex sets in Euclidean space, are of particular relevanc…
math.CO2016
Classification of weighted networks through mesoscale homological features
Ann Sizemore, Chad Giusti, Danielle Bassett
As complex networks find applications in a growing range of disciplines, the diversity of naturally occurring and model networks being studied is exploding. The adoption of a well-…