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» Powers of cycles, powers of paths, and distance graphs
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WG
2005
Springer
14 years 1 months ago
Extending the Tractability Border for Closest Leaf Powers
The NP-complete Closest 4-Leaf Power problem asks, given an undirected graph, whether it can be modified by at most edge insertions or deletions such that it becomes a 4-leaf powe...
Michael Dom, Jiong Guo, Falk Hüffner, Rolf Ni...
SODA
2000
ACM
121views Algorithms» more  SODA 2000»
13 years 9 months ago
Coloring powers of planar graphs
We give nontrivial bounds for the inductiveness or degeneracy of power graphs Gk of a planar graph G. This implies bounds for the chromatic number as well, since the inductiveness ...
Geir Agnarsson, Magnús M. Halldórsso...
DM
1998
73views more  DM 1998»
13 years 7 months ago
On constructing snakes in powers of complete graphs
We prove the conjecture of Abbott and Katchalski that for every m ≥ 2 there is a positive constant λm such that S(Kd mn) ≥ λmnd−1 S(Kd−1 m ) where S(Kd m) is the length o...
Jerzy Wojciechowski
NETWORKING
2004
13 years 9 months ago
Power Adaptation Based Optimization for Energy Efficient Reliable Wireless Paths
We define a transmission power adaptation-based routing technique that finds optimal paths for minimum energy reliable data transfer in multi-hop wireless networks. This optimal ch...
Suman Banerjee, Archan Misra
DAM
2008
82views more  DAM 2008»
13 years 7 months ago
Closest 4-leaf power is fixed-parameter tractable
The NP-complete Closest 4-Leaf Power problem asks, given an undirected graph, whether it can be modified by at most r edge insertions or deletions such that it becomes a 4-leaf po...
Michael Dom, Jiong Guo, Falk Hüffner, Rolf Ni...