On element-connectivity preserving graph simplification
© Springer-Verlag Berlin Heidelberg 2015. The notion of element-connectivity has found several important applications in network design and routing problems. We focus on a reduction step that preserves the element-connectivity [18,4,3], which when applied repeatedly allows one to reduce the original...
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| 格式: | Book Series |
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2018
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| 在線閱讀: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84945535090&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/54399 |
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| 總結: | © Springer-Verlag Berlin Heidelberg 2015. The notion of element-connectivity has found several important applications in network design and routing problems. We focus on a reduction step that preserves the element-connectivity [18,4,3], which when applied repeatedly allows one to reduce the original graph to a simpler one. This pre-processing step is a crucial ingredient in several applications. In this paper we revisit this reduction step and provide a new proof via the use of setpairs. Our main contribution is algorithmic results for several basic problems on element-connectivity including the problem of achieving the aforementioned graph simplification.We utilize the underlying submodularity properties of element-connectivity to derive faster algorithms. |
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