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WG
2010
Springer
15 years 1 days ago
Connections between Theta-Graphs, Delaunay Triangulations, and Orthogonal Surfaces
Θk-graphs are geometric graphs that appear in the context of graph navigation. The shortest-path metric of these graphs is known to approximate the Euclidean complete graph up to...
Nicolas Bonichon, Cyril Gavoille, Nicolas Hanusse,...
CCCG
2003
15 years 3 months ago
Coloring Objects Built From Bricks
We address a question posed by Sibley and Wagon. They proved that rhombic Penrose tilings in the plane can be 3colored, but a key lemma of their proof fails in the natural 3D gene...
Suzanne Gallagher, Joseph O'Rourke
COLOGNETWENTE
2010
15 years 8 days ago
Interval Total Colorings of Bipartite Graphs
An interval total t coloring of a graph G is a total coloring of with colors 1, such that at least one vertex or edge of is colored by color − G 2, ,t… G , 1, 2, ,i i t= … ,...
Petros A. Petrosyan, Ani Shashikyan, Arman Yu. Tor...
DAM
2006
172views more  DAM 2006»
15 years 1 months ago
A Branch-and-Cut algorithm for graph coloring
In a previous work, we proposed a new integer programming formulation for the graph coloring problem which, to a certain extent, avoids symmetry. We studied the facet structure of...
Isabel Méndez-Díaz, Paula Zabala
ENDM
2006
127views more  ENDM 2006»
15 years 1 months ago
Greedy defining sets in graphs and Latin squares
Greedy algorithm sometimes uses more than (G) colors while coloring a graph G. A greedy defining set is an object to eliminate these extra colors so that the greedy coloring resul...
Manouchehr Zaker