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IWPEC
2009
Springer
13 years 11 months ago
Planar Capacitated Dominating Set Is W[1]-Hard
Given a graph G together with a capacity function c : V (G) → N, we call S ⊆ V (G) a capacitated dominating set if there exists a mapping f : (V (G) \ S) → S which maps every...
Hans L. Bodlaender, Daniel Lokshtanov, Eelko Penni...
SIAMCOMP
2000
125views more  SIAMCOMP 2000»
13 years 4 months ago
Approximating the Stretch Factor of Euclidean Graphs
There are several results available in the literature dealing with efficient construction of t-spanners for a given set S of n points in Rd. t-spanners are Euclidean graphs in whic...
Giri Narasimhan, Michiel H. M. Smid
SODA
2007
ACM
123views Algorithms» more  SODA 2007»
13 years 6 months ago
Region-fault tolerant geometric spanners
We introduce the concept of region-fault tolerant spanners for planar point sets, and prove the existence of region-fault tolerant spanners of small size. For a geometric graph G ...
Mohammad Ali Abam, Mark de Berg, Mohammad Farshi, ...
COMPGEOM
2006
ACM
13 years 10 months ago
Colored intersection searching via sparse rectangular matrix multiplication
In a Batched Colored Intersection Searching Problem (CI), one is given a set of n geometric objects (of a certain class). Each object is colored by one of c colors, and the goal i...
Haim Kaplan, Micha Sharir, Elad Verbin
STOC
2009
ACM
168views Algorithms» more  STOC 2009»
14 years 5 months ago
Fault-tolerant spanners for general graphs
The paper concerns graph spanners that are resistant to vertex or edge failures. Given a weighted undirected n-vertex graph G = (V, E) and an integer k 1, the subgraph H = (V, E ...
Shiri Chechik, Michael Langberg, David Peleg, Liam...