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arXiv · 1402.1810

A Natural Generalization of Bounded Tree-Width and Bounded Clique-Width

Martin Fürer
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Abstract

We investigate a new width parameter, the fusion-width of a graph. It is a natural generalization of the tree-width, yet strong enough that not only graphs of bounded tree-width, but also graphs of bounded clique-width, trivially have bounded fusion-width. In particular, there is no exponential growth between tree-width and fusion-width, as is the case between tree-width and clique-width. The new parameter gives a good intuition about the relationship between tree-width and clique-width.

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Martin Fürer. 2014-02-08. A Natural Generalization of Bounded Tree-Width and Bounded Clique-Width. https://arxiv.org/abs/1402.1810

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