Add to ORKGWe consider the problem of computing the weight of a Euclidean minimum spanning tree for a set of n points in R d. We focus on the setting where the input point set is supported by certain basic (and commonly used) geometric data structures that can provide efficient access to the input in a structured way. We present an algorithm that estimates with high probability the weight of a Euclidean minimum spanning tree of a set of points to within 1 + ε using only � O ( √ npoly(1/ε)) queries for constant d. The algorithm assumes that the input is supported by a minimal bounding cube enclosing it, by orthogonal range queries, and by cone approximate nearest neighbors queries.
It is shown that a minimum spanning tree of $n$ points in $R^d$ under any fixed $L_p$-metric, wit...
Abstract. The problem of finding a minimum spanning tree connecting n points in a k-dimensional spac...
Given n points in the Euclidean plane, we consider the problem of finding the minimum tree spanning ...
We consider the problem of computing the weight of a Euclidean minimum spanning tree for a set of n ...
We consider the problem of computing the weight of a Euclidean minimum spanning tree for a ¦ set of ...
We consider the problem of computing the weight of a Euclidean minimum spanning tree for a set of ¦ ...
In this paper we present a sublinear-time $(1+\varepsilon)$-approximation randomized algorithm to es...
§1 In t roduct ion We present algorithms for solving the geometric min-imum spanning tree problem: G...
We study optimization problems for the Euclidean minimum spanning tree (MST) on im-precise data. To ...
We study optimization problems for the Euclidean minimum spanning tree (MST) on im-precise data. To ...
The minimal spanning tree problem is one of the oldest and most basic graph problems in theoretical ...
Given a Euclidean graph G over a set P of n points in the plane, we are interested in verifying whet...
Abstract. We study optimization problems for the Euclidean minimum spanning tree (MST) on imprecise ...
1 Introduction Traditionally, a linear time algorithm has been held as the gold standard of efficien...
[[abstract]]In this paper, we consider the following problem. Preprocess n moving points in the plan...
It is shown that a minimum spanning tree of $n$ points in $R^d$ under any fixed $L_p$-metric, wit...
Abstract. The problem of finding a minimum spanning tree connecting n points in a k-dimensional spac...
Given n points in the Euclidean plane, we consider the problem of finding the minimum tree spanning ...
We consider the problem of computing the weight of a Euclidean minimum spanning tree for a set of n ...
We consider the problem of computing the weight of a Euclidean minimum spanning tree for a ¦ set of ...
We consider the problem of computing the weight of a Euclidean minimum spanning tree for a set of ¦ ...
In this paper we present a sublinear-time $(1+\varepsilon)$-approximation randomized algorithm to es...
§1 In t roduct ion We present algorithms for solving the geometric min-imum spanning tree problem: G...
We study optimization problems for the Euclidean minimum spanning tree (MST) on im-precise data. To ...
We study optimization problems for the Euclidean minimum spanning tree (MST) on im-precise data. To ...
The minimal spanning tree problem is one of the oldest and most basic graph problems in theoretical ...
Given a Euclidean graph G over a set P of n points in the plane, we are interested in verifying whet...
Abstract. We study optimization problems for the Euclidean minimum spanning tree (MST) on imprecise ...
1 Introduction Traditionally, a linear time algorithm has been held as the gold standard of efficien...
[[abstract]]In this paper, we consider the following problem. Preprocess n moving points in the plan...
It is shown that a minimum spanning tree of $n$ points in $R^d$ under any fixed $L_p$-metric, wit...
Abstract. The problem of finding a minimum spanning tree connecting n points in a k-dimensional spac...
Given n points in the Euclidean plane, we consider the problem of finding the minimum tree spanning ...