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» Hardness Results and Efficient Algorithms for Graph Powers
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PPOPP
2009
ACM
15 years 10 months ago
An efficient transactional memory algorithm for computing minimum spanning forest of sparse graphs
Due to power wall, memory wall, and ILP wall, we are facing the end of ever increasing single-threaded performance. For this reason, multicore and manycore processors are arising ...
Seunghwa Kang, David A. Bader
JCO
2011
113views more  JCO 2011»
14 years 4 months ago
Hardness and algorithms for rainbow connection
An edge-colored graph G is rainbow connected if any two vertices are connected by a path whose edges have distinct colors. The rainbow connection of a connected graph G, denoted r...
Sourav Chakraborty, Eldar Fischer, Arie Matsliah, ...
TAMC
2010
Springer
14 years 8 months ago
Exploiting Restricted Linear Structure to Cope with the Hardness of Clique-Width
Clique-width is an important graph parameter whose computation is NP-hard. In fact we do not know of any other algorithm than brute force for the exact computation of clique-width...
Pinar Heggernes, Daniel Meister, Udi Rotics
DM
1999
109views more  DM 1999»
14 years 9 months ago
Hamiltonian powers in threshold and arborescent comparability graphs
We examine powers of Hamiltonian paths and cycles as well as Hamiltonian (power) completion problems in several highly structured graph classes. For threshold graphs we give effic...
Sam Donnelly, Garth Isaak
FOCS
2008
IEEE
15 years 4 months ago
Beating the Random Ordering is Hard: Inapproximability of Maximum Acyclic Subgraph
We prove that approximating the Max Acyclic Subgraph problem within a factor better than 1/2 is Unique-Games hard. Specifically, for every constant ε > 0 the following holds:...
Venkatesan Guruswami, Rajsekar Manokaran, Prasad R...