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DMTCS
2010
133views Mathematics» more  DMTCS 2010»
13 years 5 months ago
An improved bound on the largest induced forests for triangle-free planar graphs
We proved that every planar triangle-free graph with n vertices has a subset of vertices that induces a forest of size at least (71n + 72)/128. This improves the earlier work of S...
Lukasz Kowalik, Borut Luzar, Riste Skrekovski
ARSCOM
2006
202views more  ARSCOM 2006»
13 years 7 months ago
Domination in Planar Graphs with Small Diameter II
MacGillivray and Seyffarth (J. Graph Theory 22 (1996), 213
Michael Dorfling, Wayne Goddard, Michael A. Hennin...
JCT
2008
65views more  JCT 2008»
13 years 7 months ago
Random graphs on surfaces
Counting labelled planar graphs, and typical properties of random labelled planar graphs, have received much attention recently. We start the process here of extending these invest...
Colin McDiarmid
NIPS
2007
13 years 9 months ago
Local Algorithms for Approximate Inference in Minor-Excluded Graphs
We present a new local approximation algorithm for computing MAP and logpartition function for arbitrary exponential family distribution represented by a finite-valued pair-wise ...
Kyomin Jung, Devavrat Shah
INFOCOM
2011
IEEE
12 years 11 months ago
Fine-grained location-free planarization in wireless sensor networks
—Extracting planar graph from network topologies is of great importance for efficient protocol design in wireless ad hoc and sensor networks. Previous techniques of planar topol...
Dezun Dong, Yunhao Liu, Xiangke Liao, Xiang-Yang L...