Abstract: Finding minimum spanning trees (MST) in various types of networks is a well-studied problem in theory and practical applications. A number of efficient algorithms have been already developed ...

Abstract: The minimum spanning tree (MST) model was applied to research the evolutionary relationships of tRNA gene sequences. The MSTs of tRNA gene sequences are constructed by the Prim's algorithm.

You are the benevolent ruler of The Republic of Graphistan, and you want to modernize the roads between cities—widening them, repaving them, turning them into superhighways. But it’s complicated. When ...

Due to a planned power outage on Friday, 1/14, between 8am-1pm PST, some services may be impacted. A line drawing of the Internet Archive headquarters building façade. An illustration of a magnifying ...

Prim's algorithm can NOT use Dijkstra' shortest paths algorithm to return the map of the predecessor, because Dijkstra's shortest path allows to create a shortest paths tree, that is a spanning tree ...

ABSTRACT: The goal of the research is to develop a methodology to minimize the public’s exposure to harmful emissions from coal power plants while maintaining minimal operational costs related to ...

In 1983, Gallager, Humblet, and Spira published a distributed algorithm for computing a minimum spanning tree. For several years, I regarded it as a benchmark problem for verifying concurrent ...

Input: Read the input graph from the file \input.txt". In the first line of the file, we have two positive integers n and m. n is the number of vertices in the graph and m is the number of edges in ...

In the MINIMUM BOUNDED DEGREE SPANNING TREE problem, we are given an undirected graph with a degree upper bound Bv on each vertex v, and the task is to find a spanning tree of minimum cost which ...