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arXiv · 1703.07532

Embedded-width: A variant of treewidth for plane graphs

Glencora Borradaile·Jeff Erickson·Hung Le·Robbie Weber
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Abstract

We define a special case of tree decompositions for planar graphs that respect a given embedding of the graph. We study the analogous width of the resulting decomposition we call the embedded-width of a plane graph. We show both upper bounds and lower bounds for the embedded-width of a graph in terms of its treewidth and describe a fixed parameter tractable algorithm to calculate the embedded-width of a plane graph. To do so, we give novel bounds on the size of matchings in planar graphs.

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Glencora Borradaile, Jeff Erickson, Hung Le, Robbie Weber. 2017-03-22. Embedded-width: A variant of treewidth for plane graphs. https://arxiv.org/abs/1703.07532

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