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Treewidth of the Line Graph of a Complete Graph
Authors:Daniel J. Harvey  David R. Wood
Affiliation:1. DEPARTMENT OF MATHEMATICS AND STATISTICS, THE UNIVERSITY OF MELBOURNE, PARKVILLE, VICTORIA, AUSTRALIA;2. SCHOOL OF MATHEMATICAL SCIENCES, MONASH UNIVERSITY, CLAYTON, VICTORIA, AUSTRALIA
Abstract:
In recent articles by Grohe and Marx, the treewidth of the line graph of a complete graph is a critical example—in a certain sense, every graph with large treewidth “contains” urn:x-wiley:03649024:media:jgt21813:jgt21813-math-0001. However, the treewidth of urn:x-wiley:03649024:media:jgt21813:jgt21813-math-0002 was not determined exactly. We determine the exact treewidth of the line graph of a complete graph.
Keywords:
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