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Distributed Algorithms for Cyclic Edge Connectivity and Cyclic Vertex Connectivity of Cubic Graphs

Published: 10 September 2020 Publication History

Abstract

For a connected graph G, a set S of edges (vertices) is a cyclic edge (vertex) cutset if G - S is not connected and at least two components contain a cycle respectively. The cyclic edge (vertex) connectivity cλ (κ) is the cardinality of a minimum cyclic edge (vertex) cutset. In this paper, we gave distributed algorithms determining cyclic edge connectivity and cyclic vertex connectivity of cubic graphs. The experiment results showed that the distributed algorithms were significantly improved in time compared to the original algorithms when the graph was large. Time costs of the distributed algorithms separately for cyclic edge connectivity and cyclic vertex connectivity are correspondingly less than 33% and less than 40% that of the single machine algorithms when the graph was large enough.

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  1. Distributed Algorithms for Cyclic Edge Connectivity and Cyclic Vertex Connectivity of Cubic Graphs

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      ICDSP '20: Proceedings of the 2020 4th International Conference on Digital Signal Processing
      June 2020
      383 pages
      ISBN:9781450376877
      DOI:10.1145/3408127
      Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than the author(s) must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected].

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      • University of Electronic Science and Technology of China: University of Electronic Science and Technology of China

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      Association for Computing Machinery

      New York, NY, United States

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      Published: 10 September 2020

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      Author Tags

      1. Distributed Algorithms
      2. cubic graphs
      3. cyclic edge connectivity
      4. cyclic vertex connectivity
      5. maximum flow

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      Funding Sources

      • the Creative Talents Project Fund of Guangdong Province Department of Education (Natural Science)
      • the Ph.D. Start-up Fund of Natural Science Foundation of Guangdong Province
      • Science and Technology Planning Project of Guangdong Province
      • the Featured Innovation Project of Guangdong Province Department of Education (Natural Science)

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