Add to ORKGLet [P] be the points of a Poisson process on Rd and F a probability distribution with support on the non-negative integers. Models are formulated for generating translation invariant random graphs with vertex set [P] and iid vertex degrees with distribution F, and the length of the edges is analyzed. The main result is that finite mean for the total edge length per vertex is possible if and only if F has finite moment of order (d + 1)/d.
AbstractLet ηt be a Poisson point process of intensity t≥1 on some state space Y and let f be a non-...
Random (pseudo)graphs G N with the following structure are studied: first, independent and identical...
We propose a distribution-free approach to the study of random geometric graphs. The distribution of...
Let F be a probability distribution with support on the non-negative integers. A model is proposed f...
Let F be a probability distribution with support on the non-negative integers. A model is proposed f...
Let D be a non-negative integer-valued random variable and let G = (V, E) be an infinite transitive ...
Let F be a probability distribution with support on the non-negative integers. Two algorithms are de...
Let each point of a homogeneous Poisson process on R independently be equipped with a random number ...
We generalize the asymptotic behavior of the graph distance between two uniformly chosen nodes in th...
We generalize the asymptotic behavior of the graph distance between two uniformly chosen nodes in th...
Let F be a probability distribution with support on the nonnegative integers. We describe two algori...
Let F be a probability distribution with support on the nonnegative integers. We describe two algori...
AbstractWe give a new sufficient condition for convergence to a Poisson distribution of a sequence o...
Let each point of a homogeneous Poisson process in R-d independently be equipped with a random numbe...
Consider the random graph G(Pn,r) whose vertex set Pn is a Poisson point process of intensity n on (...
AbstractLet ηt be a Poisson point process of intensity t≥1 on some state space Y and let f be a non-...
Random (pseudo)graphs G N with the following structure are studied: first, independent and identical...
We propose a distribution-free approach to the study of random geometric graphs. The distribution of...
Let F be a probability distribution with support on the non-negative integers. A model is proposed f...
Let F be a probability distribution with support on the non-negative integers. A model is proposed f...
Let D be a non-negative integer-valued random variable and let G = (V, E) be an infinite transitive ...
Let F be a probability distribution with support on the non-negative integers. Two algorithms are de...
Let each point of a homogeneous Poisson process on R independently be equipped with a random number ...
We generalize the asymptotic behavior of the graph distance between two uniformly chosen nodes in th...
We generalize the asymptotic behavior of the graph distance between two uniformly chosen nodes in th...
Let F be a probability distribution with support on the nonnegative integers. We describe two algori...
Let F be a probability distribution with support on the nonnegative integers. We describe two algori...
AbstractWe give a new sufficient condition for convergence to a Poisson distribution of a sequence o...
Let each point of a homogeneous Poisson process in R-d independently be equipped with a random numbe...
Consider the random graph G(Pn,r) whose vertex set Pn is a Poisson point process of intensity n on (...
AbstractLet ηt be a Poisson point process of intensity t≥1 on some state space Y and let f be a non-...
Random (pseudo)graphs G N with the following structure are studied: first, independent and identical...
We propose a distribution-free approach to the study of random geometric graphs. The distribution of...