Add to ORKGConsider the complete graph Kn on n vertices and the n-cube graph Qn on 2n vertices. Suppose independent uniform random edge weights are assigned to each edges in Kn and Qn and let and denote the unique minimal spanning trees on Kn and Qn, respectively. In this paper we obtain the Gaussian tail for the number of edges of and with weight at most t/n.Empirical distribution Gaussian tail Minimal spanning tree
The theory of the minimal spanning tree (MST) of a connected graph whose edges are assigned lengths ...
In this article, we explicitly derive the limiting distribution of the degree distribution of the sh...
Let Xi, 1 ≤ i \u3c ∞, denote independent random variables with values in Rd, d ≥ 2, and let Mn denot...
Consider the complete graph Kn on n vertices and the n-cube graph Qn on 2n vertices. Suppose indepen...
Suppose each edge of the complete graph Kn is assigned a random weight chosen independently and unif...
Consider a complete graph Kn where the edges have costs given by independent random variables, each ...
Two methods are used to compute the expected value of the length of the minimal spanning tree (MST) ...
peer reviewedWe study the total $\alpha$-powered length of the rooted edges in a random minimal dire...
We consider the problem of covering the minimum spanning tree (MST) of a random subgraph of G by a s...
In Bhatt and Roy's minimal directed spanning tree construction for n random points in the unit squar...
The theory of the minimal spanning tree (MST) of a connected graph whose edges are assigned lengths ...
Two methods are used to compute the expected value of the length of the minimal spanning tree (MST) ...
International audienceConsider the minimum spanning tree (MST) of the complete graph with n vertices...
J This paper considers the problem of determining the mean and distri-bution of the length of a mini...
In this article, we explicitly derive the limiting distribution of the degree distribution of the sh...
The theory of the minimal spanning tree (MST) of a connected graph whose edges are assigned lengths ...
In this article, we explicitly derive the limiting distribution of the degree distribution of the sh...
Let Xi, 1 ≤ i \u3c ∞, denote independent random variables with values in Rd, d ≥ 2, and let Mn denot...
Consider the complete graph Kn on n vertices and the n-cube graph Qn on 2n vertices. Suppose indepen...
Suppose each edge of the complete graph Kn is assigned a random weight chosen independently and unif...
Consider a complete graph Kn where the edges have costs given by independent random variables, each ...
Two methods are used to compute the expected value of the length of the minimal spanning tree (MST) ...
peer reviewedWe study the total $\alpha$-powered length of the rooted edges in a random minimal dire...
We consider the problem of covering the minimum spanning tree (MST) of a random subgraph of G by a s...
In Bhatt and Roy's minimal directed spanning tree construction for n random points in the unit squar...
The theory of the minimal spanning tree (MST) of a connected graph whose edges are assigned lengths ...
Two methods are used to compute the expected value of the length of the minimal spanning tree (MST) ...
International audienceConsider the minimum spanning tree (MST) of the complete graph with n vertices...
J This paper considers the problem of determining the mean and distri-bution of the length of a mini...
In this article, we explicitly derive the limiting distribution of the degree distribution of the sh...
The theory of the minimal spanning tree (MST) of a connected graph whose edges are assigned lengths ...
In this article, we explicitly derive the limiting distribution of the degree distribution of the sh...
Let Xi, 1 ≤ i \u3c ∞, denote independent random variables with values in Rd, d ≥ 2, and let Mn denot...