Paper by Erik D. Demaine

Reference:
Erik D. Demaine and MohammadTaghi Hajiaghayi, “Bidimensionality, Map Graphs, and Grid Minors”, Manuscript, February 2005.

Abstract:
In this paper we extend the theory of bidimensionality to two families of graphs that do not exclude fixed minors: map graphs and power graphs. In both cases we prove a polynomial relation between the treewidth of a graph in the family and the size of the largest grid minor. These bounds improve the running times of a broad class of fixed-parameter algorithms. Our novel technique of using approximate max-min relations between treewidth and size of grid minors is powerful, and we show how it can also be used, e.g., to prove a linear relation between the treewidth of a bounded-genus graph and the treewidth of its dual.

Comments:
This paper is also available as arXiv:cs.DM/0502070 of the Computing Research Repository (CoRR).

Length:
The paper is 12 pages.

Availability:
The paper is available in PostScript (266k), gzipped PostScript (96k), and PDF (149k).
See information on file formats.
[Google Scholar search]


See also other papers by Erik Demaine.
These pages are generated automagically from a BibTeX file.
Last updated July 25, 2017 by Erik Demaine.