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» Graph Coloring and the Immersion Order
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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
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
ICITS
2011
12 years 11 months ago
Homogeneous Faults, Colored Edge Graphs, and Cover Free Families
In this paper, we use the concept of colored edge graphs to model homogeneous faults in networks. We then use this model to study the minimum connectivity (and design) requirements...
Yongge Wang, Yvo Desmedt
JGT
2010
90views more  JGT 2010»
13 years 6 months ago
The rainbow connection of a graph is (at most) reciprocal to its minimum degree
An edge-colored graph G is rainbow edge-connected if any two vertices are connected by a path whose edges have distinct colors. The rainbow connection of a connected graph G, deno...
Michael Krivelevich, Raphael Yuster
ANOR
2004
170views more  ANOR 2004»
13 years 7 months ago
Graph Coloring for Air Traffic Flow Management
The aim of Air Traffic Flow Management (ATFM) is to enhance the capacity of the airspace while satisfying Air Traffic Control constraints and airlines requests to optimize their o...
Nicolas Barnier, Pascal Brisset