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COMGEO
2007
ACM
13 years 7 months ago
Graph drawings with few slopes
The slope-number of a graph G is the minimum number of distinct edge slopes in a straight-line drawing of G in the plane. We prove that for Δ 5 and all large n, there is a Δ-reg...
Vida Dujmovic, Matthew Suderman, David R. Wood
STOC
2010
ACM
295views Algorithms» more  STOC 2010»
14 years 19 days 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...
TALG
2008
115views more  TALG 2008»
13 years 7 months ago
Combinatorial bounds via measure and conquer: Bounding minimal dominating sets and applications
We provide an algorithm listing all minimal dominating sets of a graph on n vertices in
Fedor V. Fomin, Fabrizio Grandoni, Artem V. Pyatki...
RANDOM
2001
Springer
14 years 6 days ago
Near-optimum Universal Graphs for Graphs with Bounded Degrees
d Abstract) Noga Alon1, , Michael Capalbo2, , Yoshiharu Kohayakawa3, , Vojtˇech R¨odl4,† , Andrzej Ruci´nski5,‡ , and Endre Szemer´edi6,§ 1 Department of Mathematics, Raym...
Noga Alon, Michael R. Capalbo, Yoshiharu Kohayakaw...
TCS
1998
13 years 7 months ago
A Partial k-Arboretum of Graphs with Bounded Treewidth
The notion of treewidth has seen to be a powerful vehicle for many graph algorithmic studies. This survey paper wants to give an overview of many classes of graphs that can be see...
Hans L. Bodlaender