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      Optimal Randomized Parallel Algorithms for Graph Problems

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      https://www.riss.kr/link?id=E686630

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      다국어 초록 (Multilingual Abstract)

      We describe randomized parallel algorithms for solving several important graph problems such as finding biconnected components, an ear decomposition, an st-numbering, a strong orientation, and an Euler tour of a graph with n vertices and m edges. These algorithms run in O(logn) time using O(n+m) operations with high probability on the Priority CRCWPRAM. Our solutions are based on a technique that, given a list of edges for a spanning tree, optimally constructs an Euler tour of the tree.
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      We describe randomized parallel algorithms for solving several important graph problems such as finding biconnected components, an ear decomposition, an st-numbering, a strong orientation, and an Euler tour of a graph with n vertices and m edges. Thes...

      We describe randomized parallel algorithms for solving several important graph problems such as finding biconnected components, an ear decomposition, an st-numbering, a strong orientation, and an Euler tour of a graph with n vertices and m edges. These algorithms run in O(logn) time using O(n+m) operations with high probability on the Priority CRCWPRAM. Our solutions are based on a technique that, given a list of edges for a spanning tree, optimally constructs an Euler tour of the tree.

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      목차 (Table of Contents)

      • Abstract
      • 1. Introduction
      • 2. Preliminaries
      • Abstract
      • 1. Introduction
      • 2. Preliminaries
      • 3. Euler tour
      • 4. Graph algorithms
      • 5. Conclusions
      • References
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