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ON THE QUEUE NUMBER OF PLANAR GRAPHS.

Authors :
DI BATTISTA, GIUSEPPE
FRATI, FABRIZIO
PACH, JÁNOS
Source :
SIAM Journal on Computing. 2013, Vol. 42 Issue 6, p2243-2285. 43p.
Publication Year :
2013

Abstract

We prove that planar graphs have O(log² n) queue number, thus improving upon the previous O(√n) upper bound. Consequently, planar graphs admit three-dimensional straight-line crossing-free grid drawings in O(n log8 n) volume, thus improving upon the previous O(n3/2) upper bound. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00975397
Volume :
42
Issue :
6
Database :
Academic Search Index
Journal :
SIAM Journal on Computing
Publication Type :
Academic Journal
Accession number :
93430019
Full Text :
https://doi.org/10.1137/130908051