Signed graphs in data sciences via communicability geometry

arXiv:2403.07493v1 Announce Type: cross
Abstract: Signed graphs are an emergent way of representing data in a variety of contexts were conflicting interactions exist. These include data from biological, ecological, and social systems. Here we propose the concept of communicability geometry for signed graphs, proving that metrics in this space, such as the communicability distance and angles, are Euclidean and spherical. We then apply these metrics to solve several problems in data analysis of signed graphs in a unified way. They …

abstract arxiv concept cs.dm cs.lg data geometry graphs interactions math.co math.mg metrics physics.soc-ph social space systems type via