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» Parity Problems in Planar Graphs
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ISAAC
2009
Springer
142views Algorithms» more  ISAAC 2009»
14 years 10 days ago
Induced Packing of Odd Cycles in a Planar Graph
An induced packing of odd cycles in a graph is a packing such that there is no edge in a graph between any two odd cycles in the packing. We prove that the problem is solvable in t...
Petr A. Golovach, Marcin Kaminski, Daniël Pau...
ICALP
2003
Springer
14 years 29 days ago
Fixed-Parameter Algorithms for the (k, r)-Center in Planar Graphs and Map Graphs
The (k, r)-center problem asks whether an input graph G has ≤ k vertices (called centers) such that every vertex of G is within distance ≤ r from some center. In this paper we ...
Erik D. Demaine, Fedor V. Fomin, Mohammad Taghi Ha...
FAW
2009
Springer
177views Algorithms» more  FAW 2009»
14 years 2 months ago
Bounds on the Geometric Mean of Arc Lengths for Bounded-Degree Planar Graphs
Data access time becomes the main bottleneck in applications dealing with large-scale graphs. Cache-oblivious layouts, constructed to minimize the geometric mean of arc lengths of ...
Mohammad Khairul Hasan, Sung-Eui Yoon, Kyung-Yong ...
COCO
2007
Springer
114views Algorithms» more  COCO 2007»
14 years 1 months ago
Directed Planar Reachability is in Unambiguous Log-Space
We make progress in understanding the complexity of the graph reachability problem in the context of unambiguous logarithmic space computation; a restricted form of nondeterminism....
Chris Bourke, Raghunath Tewari, N. V. Vinodchandra...
CORR
2008
Springer
131views Education» more  CORR 2008»
13 years 7 months ago
Deterministically Isolating a Perfect Matching in Bipartite Planar Graphs
We present a deterministic way of assigning small (log bit) weights to the edges of a bipartite planar graph so that the minimum weight perfect matching becomes unique. The isolati...
Samir Datta, Raghav Kulkarni, Sambuddha Roy