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Open AccessArticle

Correspondence between Multilevel Graph Partitions and Tree Decompositions

by Michael Hamann 1,* and Ben Strasser 2,*,†
1
Karlsruhe Institute of Technology, 76131 Karlsruhe, Germany
2
Independent Researcher, 71149 Bondorf, Germany
*
Authors to whom correspondence should be addressed.
Work was partially done while at Karlsruhe Institute of Technology.
Algorithms 2019, 12(9), 198; https://doi.org/10.3390/a12090198
Received: 28 June 2019 / Revised: 9 September 2019 / Accepted: 9 September 2019 / Published: 17 September 2019
(This article belongs to the Special Issue Graph Partitioning: Theory, Engineering, and Applications)
We present a mapping between rooted tree decompositions and node separator based multilevel graph partitions. Significant research into both tree decompositions and graph partitions exists. We hope that our result allows for an easier knowledge transfer between the two research avenues. View Full-Text
Keywords: graph theory; tree decomposition; graph partition graph theory; tree decomposition; graph partition
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Hamann, M.; Strasser, B. Correspondence between Multilevel Graph Partitions and Tree Decompositions. Algorithms 2019, 12, 198.

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