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MFCS
2004
Springer
15 years 12 months ago
Crossing Number Is Hard for Cubic Graphs
It was proved by [Garey and Johnson, 1983] that computing the crossing number of a graph is an NP-hard problem. Their reduction, however, used parallel edges and vertices of very h...
Petr Hlinený
WG
2004
Springer
15 years 12 months ago
Finding k Disjoint Triangles in an Arbitrary Graph
We consider the NP-complete problem of deciding whether an input graph on n vertices has k vertex-disjoint copies of a fixed graph H. For H = K3
Mike Fellows, Pinar Heggernes, Frances A. Rosamond...
SWAT
1994
Springer
126views Algorithms» more  SWAT 1994»
15 years 10 months ago
Optimal Parametric Search on Graphs of Bounded Tree-Width
We give linear-time algorithms for a class of parametric search problems on weighted graphs of bounded tree-width. We also discuss the implications of our results to approximate p...
David Fernández-Baca, Giora Slutzki
SWAT
1992
Springer
104views Algorithms» more  SWAT 1992»
15 years 10 months ago
Low-Diameter Graph Decomposition is in NC
We obtain the rst NC algorithm for the low-diameter graph decomposition problem on arbitrary graphs. Our algorithm runs in O(log5 (n)) time, and uses O(n2) processors.
Baruch Awerbuch, Bonnie Berger, Lenore Cowen, Davi...
APPML
2008
93views more  APPML 2008»
15 years 6 months ago
A matrix characterization of interval and proper interval graphs
In this work a matrix representation that characterizes the interval and proper interval graphs is presented, which is useful for the efficient formulation and solution of optimiz...
George B. Mertzios