Edge-disjoint spanning trees, dominators, and depth-first search.

  • Authors:
  • Robert E Tarjan

  • Affiliations:
  • -

  • Venue:
  • Edge-disjoint spanning trees, dominators, and depth-first search.
  • Year:
  • 1974

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Abstract

This paper presents an algorithm for finding two edge-disjoint spanning trees rooted at a fixed vertex of a directed graph. The algorithm uses depth-first search, an efficient method for computing disjoint set unions, and an efficient method for computing dominators. It requires O(V log V + E) time and O(V + E) space to analyze a graph with V vertices and E edges.