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» A new upper bound on the cyclic chromatic number
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JGT
2008
97views more  JGT 2008»
13 years 7 months ago
On the oriented chromatic index of oriented graphs
A homomorphism from an oriented graph G to an oriented graph H is a mapping from the set of vertices of G to the set of vertices of H such that ----(u)(v) is an arc in H whenever...
Pascal Ochem, Alexandre Pinlou, Eric Sopena
DAM
2006
124views more  DAM 2006»
13 years 7 months ago
Coloring copoints of a planar point set
To a set of n points in the plane, one can associate a graph that has less than n2 vertices and has the property that k-cliques in the graph correspond vertex sets of convex k-gon...
Walter Morris
JCT
2011
108views more  JCT 2011»
13 years 2 months ago
The number of extreme points of tropical polyhedra
The celebrated upper bound theorem of McMullen determines the maximal number of extreme points of a polyhedron in terms of its dimension and the number of constraints which define...
Xavier Allamigeon, Stéphane Gaubert, Ricard...
DM
2008
104views more  DM 2008»
13 years 7 months ago
Improved upper and lower bounds on the feedback vertex numbers of grids and butterflies
We improve upon the best known upper and lower bounds on the sizes of minimal feedback vertex sets in butterflies. Also, we construct new feedback vertex sets in grids so that for...
Florent R. Madelaine, Iain A. Stewart