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» Bounds on the k-domination number of a graph
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FOCS
2009
IEEE
15 years 6 months ago
Planarity Allowing Few Error Vertices in Linear Time
— We show that for every fixed k, there is a linear time algorithm that decides whether or not a given graph has a vertex set X of order at most k such that G − X is planar (w...
Ken-ichi Kawarabayashi
GD
2008
Springer
15 years 27 days ago
Visibility Representations of Four-Connected Plane Graphs with Near Optimal Heights
A visibility representation of a graph G is to represent the nodes of G with non-overlapping horizontal line segments such that the line segments representing any two distinct adja...
Chieh-Yu Chen, Ya-Fei Hung, Hsueh-I Lu
DM
2010
103views more  DM 2010»
14 years 12 months ago
Degree-bounded factorizations of bipartite multigraphs and of pseudographs
For d 1, s 0 a (d,d +s)-graph is a graph whose degrees all lie in the interval {d,d +1,...,d +s}. For r 1, a 0 an (r,r+1)-factor of a graph G is a spanning (r,r+a)-subgraph of...
Anthony J. W. Hilton
TVCG
2012
203views Hardware» more  TVCG 2012»
13 years 2 months ago
Morse Set Classification and Hierarchical Refinement Using Conley Index
—Morse decomposition provides a numerically stable topological representation of vector fields that is crucial for their rigorous interpretation. However, Morse decomposition is ...
Guoning Chen, Qingqing Deng, Andrzej Szymczak, Rob...
JCO
2007
65views more  JCO 2007»
14 years 11 months ago
Group testing in graphs
This paper studies the group testing problem in graphs as follows. Given a graph G = (V, E), determine the minimum number t(G) such that t(G) tests are sufficient to identify an u...
Justie Su-tzu Juan, Gerard J. Chang