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SWAT
1994
Springer
113views Algorithms» more  SWAT 1994»
15 years 2 months ago
Trapezoid Graphs and Generalizations, Geometry and Algorithms
Trapezoid graphs are a class of cocomparability graphs containing interval graphs and permutation graphs as subclasses. They were introduced by Dagan, Golumbic and Pinter DGP]. Th...
Stefan Felsner, Rudolf Müller, Lorenz Wernisc...
RSA
2011
89views more  RSA 2011»
14 years 5 months ago
Excluding induced subgraphs: Critical graphs
Determining the cardinality and describing the structure of H-free graphs is wellinvestigated for many graphs H. In the nineties, Prömel and Steger proved that for a graph H with...
József Balogh, Jane Butterfield
SODA
2012
ACM
243views Algorithms» more  SODA 2012»
13 years 1 months ago
Bidimensionality and geometric graphs
Bidimensionality theory was introduced by Demaine et al. [JACM 2005 ] as a framework to obtain algorithmic results for hard problems on minor closed graph classes. The theory has ...
Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh
DM
2000
91views more  DM 2000»
14 years 10 months ago
Perfection thickness of graphs
We determine the order of growth of the worst-case number of perfect subgraphs needed to cover an n-vertex graph.
Hirotsugu Asari, Tao Jiang, André Künd...
TIT
1998
127views more  TIT 1998»
14 years 10 months ago
On a New Class of Codes for Identifying Vertices in Graphs
—We investigate a new class of codes for the optimal covering of vertices in an undirected graph Gsuch that any vertex in G can be uniquely identified by examining the vertices ...
Mark G. Karpovsky, Krishnendu Chakrabarty, Lev B. ...