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arXiv · 1608.01542

Lower Bounds on the mim-width of Some Graph Classes

Stefan Mengel
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Abstract

mim-width is a recent graph width measure that has seen applications in graph algorithms and problems related to propositional satisfiability. In this paper, we show linear lower bounds for the mim-width of strongly chordal split graphs, co-comparability graphs and circle graphs. This improves and refines lower bounds that were known before, some of them only conditionally. In the case of strongly chordal graphs not even a conditional lower bound was known before. All of the bounds given are optimal up to constants.

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Stefan Mengel. 2016-08-04. Lower Bounds on the mim-width of Some Graph Classes. https://arxiv.org/abs/1608.01542

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