Efficient Algorithm for Finding Minimal Spanning Tree in Directed Graphs With Integer-Valued Weights

Abstract

In this paper the task of finding minimal spanning tree in a weighted directed graphs is considered. Here the short survey of existed algorithms solving the given problem with various complexities is conducted. A comparatively simple algorithm that solves the given problem for graphs with integer-valued weights of arcs with the time complexity O(m+nlog n) is developed as well. This result was get because of using radix sort instead of sort by comparison.