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» Diameter bounds for planar graphs
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STACS
2009
Springer
16 years 23 days ago
Polynomial-Time Approximation Schemes for Subset-Connectivity Problems in Bounded-Genus Graphs
We present the first polynomial-time approximation schemes (PTASes) for the following subset-connectivity problems in edge-weighted graphs of bounded genus: Steiner tree, low-conn...
Glencora Borradaile, Erik D. Demaine, Siamak Tazar...
JGT
2006
48views more  JGT 2006»
15 years 6 months ago
Maximum pebbling number of graphs of diameter three
Given a configuration of pebbles on the vertices of a graph G, a pebbling move consists of taking two pebbles off some vertex v and putting one of them back on a vertex adjacent t...
Boris Bukh
STOC
2010
ACM
295views Algorithms» more  STOC 2010»
15 years 11 months ago
Approximation Schemes for Steiner Forest on Planar Graphs and Graphs of Bounded Treewidth
We give the first polynomial-time approximation scheme (PTAS) for the Steiner forest problem on planar graphs and, more generally, on graphs of bounded genus. As a first step, w...
MohammadHossein Bateni, MohammadTaghi Hajiaghayi a...
COMPGEOM
2007
ACM
15 years 10 months ago
Probabilistic embeddings of bounded genus graphs into planar graphs
Piotr Indyk, Anastasios Sidiropoulos