20 search results - page 1 / 4 » Inapproximability of Vertex Cover and Independent Set in Bou... |
COCO
2009
Springer
13 years 11 months ago
2009
Springer
We study the inapproximability of Vertex Cover and Independent Set on degree d graphs. We prove that: • Vertex Cover is Unique Games-hard to approximate to within a factor 2−(...
DCOSS
2008
Springer
13 years 6 months ago
2008
Springer
We present the first local approximation schemes for maximum independent set and minimum vertex cover in unit disk graphs. In the graph model we assume that each node knows its geo...
ICALP
2011
Springer
12 years 8 months ago
2011
Springer
In [13], Erd˝os et al. defined the local chromatic number of a graph as the minimum number of colors that must appear within distance 1 of a vertex. For any ∆ ≥ 2, there are ...
SPAA
2010
ACM
13 years 9 months ago
2010
ACM
We present a distributed algorithm that finds a maximal edge packing in O(∆ + log∗ W) synchronous communication rounds in a weighted graph, independent of the number of nodes...
WG
2005
Springer
13 years 10 months ago
2005
Springer
We prove that for all 0 ≤ t ≤ k and d ≥ 2k, every graph G with treewidth at most k has a ‘large’ induced subgraph H, where H has treewidth at most t and every vertex in ...