35 citations · 157 across the 23 of their papers we have counts for
6 papers · 2 filters
Joint Probability Generating Function for Degrees of Active/Passive Random Intersection Graphs
Yilun Shang
Correlations of active and passive random intersection graphs are studied in this letter. We present the joint probability generating function for degrees of an…
Degree Distributions in General Random Intersection Graphs
Yilun Shang
We study a variant of the standard random intersection graph model () in which random weights are assigned to both vertex types in the bipartite structure. Under certai…
The Distant-l Chromatic Number of Random Geometric Graphs
Yilun Shang
A random geometric graph is given by picking vertices in independently under a common bounded probability distribution, with two vertices adjacent if and o…
On the Degree Sequence of Random Geometric Digraphs
Yilun Shang
A random geometric digraph is constructed by taking in independently at random with a common bounded density function. Each vertex …
Laws of Large Numbers of Subgraphs in Directed Random Geometric Networks
Yilun Shang
Given independent random points in , drawn according to some probability density function on , and a cutoff …
Focusing of Maximum Vertex Degrees in Random Faulty Scaled Sector Graphs
Yilun Shang
In this paper we study the behavior of maximum out/in-degree of binomial/Poisson random scaled sector graphs in the presence of random vertex and edge faults. We prove that the pro…