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STACS
2010
Springer
14 years 9 days ago
The Recognition of Tolerance and Bounded Tolerance Graphs
Tolerance graphs model interval relations in such a way that intervals can tolerate a certain degree of overlap without being in conflict. This subclass of perfect graphs has bee...
George B. Mertzios, Ignasi Sau, Shmuel Zaks
JGAA
2006
85views more  JGAA 2006»
13 years 5 months ago
A Survey of the Algorithmic Properties of Simplicial, Upper Bound and Middle Graphs
Three classes of graphs, simplicial, upper bound, and middle graphs, have been known for some time, but many of their algorithmic properties have not been published. The definitio...
Grant A. Cheston, Tjoen Seng Jap
GD
2003
Springer
13 years 10 months ago
Three-Dimensional Grid Drawings with Sub-quadratic Volume
A three-dimensional grid drawing of a graph is a placement of the vertices at distinct points with integer coordinates, such that the straight line-segments representing the edges ...
Vida Dujmovic, David R. Wood
JGT
2006
73views more  JGT 2006»
13 years 5 months ago
Nearly light cycles in embedded graphs and crossing-critical graphs
We find a lower bound for the proportion of face boundaries of an embedded graph that are nearly
Mario Lomelí, Gelasio Salazar
ISSAC
2007
Springer
112views Mathematics» more  ISSAC 2007»
13 years 11 months ago
G-graphs for the cage problem: a new upper bound
Constructing some regular graph with a given girth, a given degree and the fewest possible vertices is a hard problem. This problem is called the cage graph problem and has some l...
Alain Bretto, Luc Gillibert