3 papers
cs.IT2026
Entropy and Distributed Source Coding of Connected Soft Random Geometric Graphs
Oliver Baker, Carl P. Dettmann
We consider the distributed compression of Soft Random Geometric Graphs (SRGGs) above the connectivity threshold. We establish the Slepian-Wolf rate region for the SRGG in the sett…
math.PR2026
Entropy of Soft Random Geometric Graphs in General Geometries
Oliver Baker, Carl P. Dettmann
We study the effect of the choice of embedding geometry on the entropy of random geometric graph ensembles with soft connection functions. First we show that when the connection ra…
math.PR2025
Entropy of Random Geometric Graphs in High and Low Dimensions
Oliver Baker, Carl P. Dettmann
We use a multivariate central limit theorem (CLT) to study the distribution of random geometric graphs (RGGs) on the cube and torus in the high-dimensional limit with general node…