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ICALP
2009
Springer
15 years 10 months ago
Approximation Algorithms via Structural Results for Apex-Minor-Free Graphs
We develop new structural results for apex-minor-free graphs and show their power by developing two new approximation algorithms. The first is an additive approximation for colorin...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Ken-ich...
FSTTCS
2007
Springer
15 years 4 months ago
Covering Graphs with Few Complete Bipartite Subgraphs
We consider computational problems on covering graphs with bicliques (complete bipartite subgraphs). Given a graph and an integer k, the biclique cover problem asks whether the edg...
Herbert Fleischner, Egbert Mujuni, Daniël Pau...
APPROX
2010
Springer
220views Algorithms» more  APPROX 2010»
14 years 11 months ago
Constant Approximation Algorithms for Embedding Graph Metrics into Trees and Outerplanar Graphs
We present a simple factor 6 algorithm for approximating the optimal multiplicative distortion of embedding (unweighted) graph metrics into tree metrics (thus improving and simplif...
Victor Chepoi, Feodor F. Dragan, Ilan Newman, Yuri...
DM
2006
66views more  DM 2006»
14 years 9 months ago
On the role of hypercubes in the resonance graphs of benzenoid graphs
The resonance graph R(B) of a benzenoid graph B has the perfect matchings of B as vertices, two perfect matchings being adjacent13 if their symmetric difference forms the edge set...
Khaled Salem, Sandi Klavzar, Ivan Gutman
DAM
2010
137views more  DAM 2010»
14 years 10 months ago
H-join decomposable graphs and algorithms with runtime single exponential in rankwidth
We introduce H -join decompositions of graphs, indexed by a fixed bipartite graph H . These decompositions are based on a graph operation that we call H -join, which adds edges be...
Binh-Minh Bui-Xuan, Jan Arne Telle, Martin Vatshel...