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» Bounding the Number of Edges in Permutation Graphs
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JCO
2007
65views more  JCO 2007»
13 years 8 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
GD
2001
Springer
14 years 1 months ago
Orthogonal Drawings with Few Layers
In this paper, we study 3-dimensional orthogonal graph drawings. Motivated by the fact that only a limited number of layers is possible in VLSI technology, and also noting that a s...
Therese C. Biedl, John R. Johansen, Thomas C. Sher...
CORR
2010
Springer
134views Education» more  CORR 2010»
13 years 7 months ago
Locally identifying coloring of graphs
Let G = (V, E) be a graph. Let c : V → N be a vertex-coloring of the vertices of G. For any vertex u, we denote by N[u] its closed neighborhood (u and its adjacent vertices), an...
Louis Esperet, Sylvain Gravier, Mickaël Monta...
IWPEC
2009
Springer
14 years 3 months ago
Paths of Bounded Length and Their Cuts: Parameterized Complexity and Algorithms
We study the parameterized complexity of two families of problems: the bounded length disjoint paths problem and the bounded length cut problem. From Menger’s theorem both proble...
Petr A. Golovach, Dimitrios M. Thilikos
GD
2007
Springer
14 years 2 months ago
A Bipartite Strengthening of the Crossing Lemma
Let G = (V, E) be a graph with n vertices and m ≥ 4n edges drawn in the plane. The celebrated Crossing Lemma states that G has at least Ω(m3 /n2 ) pairs of crossing edges; or ...
Jacob Fox, János Pach, Csaba D. Tóth