Functional Distance: A Novel Measure of Network Connectivity Abstract Network connectivity is a critical factor in the analysis of network structure and dynamics. Traditional measures of connectivity, such as edge betweenness, are limited in their ability to capture the impact of node position on the overall network structure. In this paper, we present a novel […]
Apollonian Circuits The Core Definition of Apollonian Circuits An Apollonian circuit represents a fascinating class of mathematical objects distinguished by their intricate geometric properties and profound utility across various scientific and engineering disciplines. At its fundamental level, an Apollonian circuit is characterized by a configuration of mutually tangent circles or spheres, where each circle touches […]