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EJC
2008
13 years 8 months ago
Fractional coloring and the odd Hadwiger's conjecture
Gerards and Seymour (see [T.R. Jensen, B. Toft, Graph Coloring Problems, Wiley-Interscience, 1995], page 115) conjectured that if a graph has no odd complete minor of order p, the...
Ken-ichi Kawarabayashi, Bruce A. Reed
COMBINATORICA
2008
97views more  COMBINATORICA 2008»
13 years 8 months ago
Pfaffian labelings and signs of edge colorings
Abstract. We relate signs of edge-colorings (as in classical Penrose's result) with "Pfaffian labelings", a generalization of Pfaffian orientations, whereby edges ar...
Serguei Norine, Robin Thomas
TIT
1998
79views more  TIT 1998»
13 years 8 months ago
Greedy and Heuristic Algorithms for Codes and Colorings
Abstract— Many of the fundamental coding problems can be represented as graph problems. These problems are often intrinsically difficult and unsolved even if the code length is ...
Tuvi Etzion, Patric R. J. Östergård
IROS
2009
IEEE
147views Robotics» more  IROS 2009»
14 years 3 months ago
A multi-hypothesis topological SLAM approach for loop closing on edge-ordered graphs
— We present a method for topological SLAM that specifically targets loop closing for edge-ordered graphs. Instead of using a heuristic approach to accept or reject loop closing...
Stephen Tully, George Kantor, Howie Choset, Felix ...
ICALP
2009
Springer
14 years 9 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...