Add to ORKGThe minimum spanning tree problem originated in the 1920s when O. Borůvka identified and solved the problem during the electrification of Moravia. This graph theory problem and its numerous applications have inspired many others to look for alternate ways of finding a spanning tree of minimum weight in a weighted, connected graph since Borůvka’s time. This note presents a variant of Borůvka’s algorithm that developed during the graph theory course work of undergraduate students. We discuss the proof of the algorithm, compare it to existing algorithms, and present an implementation of the procedure in Maple. 1
Let G = (V, E) be an undirected connected graph with a cost function w mapping edges to positive rea...
The ST ST is a sub-tree of the original network so that the network graph can contain more than one ...
We consider the problem of constructing a spanning tree for a graph G = (V; E) with n vertices and ...
The minimal spanning tree problem is one of the oldest and most basic graph problems in theoretical ...
The minimum-weight spanning tree problem is one of the most typical and well-known problems of combi...
AbstractBorůvka presented in 1926 the first solution of the Minimum Spanning Tree Problem (MST) whic...
This paper studies the Minimum Spanning TreeMethods. A graph is a collection of nodes and edges, but...
The minimum spanning tree is one of the applications of graph theory in various fields. There are se...
Abstract- A spanning tree of a connected graph is a sub graph that is a tree and connects all the ve...
: We consider the problem of constructing a spanning tree for a graph G = (V, E) with n vertices an...
summary:On the background of Borůvka’s pioneering work we present a survey of the development relate...
This paper presents two algorithms in finding an optimal (minimum or maximum) spanning tree of a giv...
Given a connected graph with edge costs, we seek a spanning tree having a specified degree at one ve...
Abstract. In their pioneering paper [4], Gallager et al. introduced a distributed algorithm for cons...
We give a simple algorithm to find a spanning tree that simultaneously approximates a shortest-path ...
Let G = (V, E) be an undirected connected graph with a cost function w mapping edges to positive rea...
The ST ST is a sub-tree of the original network so that the network graph can contain more than one ...
We consider the problem of constructing a spanning tree for a graph G = (V; E) with n vertices and ...
The minimal spanning tree problem is one of the oldest and most basic graph problems in theoretical ...
The minimum-weight spanning tree problem is one of the most typical and well-known problems of combi...
AbstractBorůvka presented in 1926 the first solution of the Minimum Spanning Tree Problem (MST) whic...
This paper studies the Minimum Spanning TreeMethods. A graph is a collection of nodes and edges, but...
The minimum spanning tree is one of the applications of graph theory in various fields. There are se...
Abstract- A spanning tree of a connected graph is a sub graph that is a tree and connects all the ve...
: We consider the problem of constructing a spanning tree for a graph G = (V, E) with n vertices an...
summary:On the background of Borůvka’s pioneering work we present a survey of the development relate...
This paper presents two algorithms in finding an optimal (minimum or maximum) spanning tree of a giv...
Given a connected graph with edge costs, we seek a spanning tree having a specified degree at one ve...
Abstract. In their pioneering paper [4], Gallager et al. introduced a distributed algorithm for cons...
We give a simple algorithm to find a spanning tree that simultaneously approximates a shortest-path ...
Let G = (V, E) be an undirected connected graph with a cost function w mapping edges to positive rea...
The ST ST is a sub-tree of the original network so that the network graph can contain more than one ...
We consider the problem of constructing a spanning tree for a graph G = (V; E) with n vertices and ...