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Connectivity Threshold of Random Geometric Graphs with Cantor Distributed Vertices
Cantor distribution connectivity threshold random geometric graph singular distributions
2012/4/18
For connectivity of \emph{random geometric graphs}, where there is no density for underlying distribution of the vertices, we consider $n$ i.i.d. \emph{Cantor} distributed points on $[0,1]$. We show t...
Connectivity properties of random interlacement and intersection of random walks
Random interlacement random walk intersection of random walks capacity
2011/2/24
We consider the interlacement Poisson point process on the space of doubly-infinite Zd-valued
trajectories modulo time shift, tending to infinity at positive and negative infinite times. The set of v...
Information theoretic interpretation of frequency domain connectivity measures
Information theoretic interpretation frequency domain connectivity measures
2011/1/17
To provide adequate multivariate measures of information flow between neural structures, modified expressions of Partial Directed Coherence (PDC) and Directed Transfer Function (DTF), two popular mult...
A path in an edge-colored graph is called a rainbow path if all edges on it have pairwise
distinct colors. For k ≥ 1, the rainbow-k-connectivity of a graph G, denoted rck(G), is the
minimum number o...