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OL
2010
140views more  OL 2010»
14 years 4 months ago
Approximation algorithms for finding and partitioning unit-disk graphs into co-k-plexes
This article studies a degree-bounded generalization of independent sets called co-k-plexes. Constant factor approximation algorithms are developed for the maximum co-k-plex probl...
Balabhaskar Balasundaram, Shyam Sundar Chandramoul...
STOC
2009
ACM
171views Algorithms» more  STOC 2009»
15 years 10 months ago
On the geometry of graphs with a forbidden minor
We study the topological simplification of graphs via random embeddings, leading ultimately to a reduction of the Gupta-Newman-Rabinovich-Sinclair (GNRS) L1 embedding conjecture t...
James R. Lee, Anastasios Sidiropoulos
TIT
2011
131views more  TIT 2011»
14 years 4 months ago
On the Hardness of Approximating the Network Coding Capacity
Abstract—This work addresses the computational complexity of achieving the capacity of a general network coding instance. We focus on the linear capacity, namely the capacity of ...
Michael Langberg, Alexander Sprintson
STOC
2006
ACM
186views Algorithms» more  STOC 2006»
15 years 10 months ago
A subset spanner for Planar graphs, : with application to subset TSP
Let > 0 be a constant. For any edge-weighted planar graph G and a subset S of nodes of G, there is a subgraph H of G of weight a constant times that of the minimum Steiner tree...
Philip N. Klein
DAM
2011
14 years 4 months ago
Untangling planar graphs from a specified vertex position - Hard cases
Given a planar graph G, we consider drawings of G in the plane where edges are represented by straight line segments (which possibly intersect). Such a drawing is specified by an ...
Mihyun Kang, Oleg Pikhurko, Alexander Ravsky, Math...