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» Adjacency posets of planar graphs
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CORR
2007
Springer
132views Education» more  CORR 2007»
14 years 11 months ago
Nodally 3-connected planar graphs and convex combination mappings
A barycentric mapping of a planar graph is a plane embedding in which every internal vertex is the average of its neighbours. A celebrated result of Tutte’s [16] is that if a pl...
Colm Ó'Dúnlaing
97
Voted
GD
2008
Springer
15 years 22 days ago
Visibility Representations of Four-Connected Plane Graphs with Near Optimal Heights
A visibility representation of a graph G is to represent the nodes of G with non-overlapping horizontal line segments such that the line segments representing any two distinct adja...
Chieh-Yu Chen, Ya-Fei Hung, Hsueh-I Lu
85
Voted
ICNP
2005
IEEE
15 years 5 months ago
Simple Robotic Routing in Ad Hoc Networks
Position-based routing protocols in ad hoc networks combine a forwarding strategy with a recovery algorithm. The former fails when there are void regions or physical obstacles tha...
Daejoong Kim, Nicholas F. Maxemchuk
119
Voted
ICALP
2009
Springer
15 years 12 months ago
Approximation Algorithms via Structural Results for Apex-Minor-Free Graphs
We develop new structural results for apex-minor-free graphs and show their power by developing two new approximation algorithms. The first is an additive approximation for colorin...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Ken-ich...
SIAMDM
2008
154views more  SIAMDM 2008»
14 years 11 months ago
On the First-Fit Chromatic Number of Graphs
The first-fit chromatic number of a graph is the number of colors needed in the worst case of a greedy coloring. It is also called the Grundy number, which is defined to be the max...
József Balogh, Stephen G. Hartke, Qi Liu, G...