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» The Longest Path Problem Is Polynomial on Interval Graphs
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STACS
2009
Springer
14 years 2 months ago
Hardness and Algorithms for Rainbow Connectivity
An edge-colored graph G is rainbow connected if any two vertices are connected by a path whose edges have distinct colors. The rainbow connectivity of a connected graph G, denoted ...
Sourav Chakraborty, Eldar Fischer, Arie Matsliah, ...
WINE
2005
Springer
179views Economy» more  WINE 2005»
14 years 25 days ago
A Graph-Theoretic Network Security Game
Consider a network vulnerable to viral infection. The system security software can guarantee safety only to a limited part of the network. Such limitations result from economy cos...
Marios Mavronicolas, Vicky G. Papadopoulou, Anna P...
WADS
2001
Springer
86views Algorithms» more  WADS 2001»
13 years 11 months ago
Practical Approximation Algorithms for Separable Packing Linear Programs
Abstract. We describe fully polynomial time approximation schemes for generalized multicommodity flow problems arising in VLSI applications such as Global Routing via Buffer Block...
Feodor F. Dragan, Andrew B. Kahng, Ion I. Mandoiu,...
COCOON
2005
Springer
14 years 27 days ago
Bounded Degree Closest k-Tree Power Is NP-Complete
Abstract. An undirected graph G = (V, E) is the k-power of an undirected tree T = (V, E ) if (u, v) ∈ E iff u and v are connected by a path of length at most k in T. The tree T ...
Michael Dom, Jiong Guo, Rolf Niedermeier
ECCC
2010
143views more  ECCC 2010»
13 years 4 months ago
Space-Efficient Algorithms for Reachability in Surface-Embedded Graphs
We consider the reachability problem for a certain class of directed acyclic graphs embedded on surfaces. Let G(m, g) be the class of directed acyclic graphs with m = m(n) source ...
Derrick Stolee, N. V. Vinodchandran