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» On Bounds for the k-Partitioning of Graphs
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ICALP
2011
Springer
14 years 1 months ago
Vertex Cover in Graphs with Locally Few Colors
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 ...
Fabian Kuhn, Monaldo Mastrolilli
BMCBI
2006
141views more  BMCBI 2006»
14 years 9 months ago
Maximum common subgraph: some upper bound and lower bound results
Background: Structure matching plays an important part in understanding the functional role of biological structures. Bioinformatics assists in this effort by reformulating this p...
Xiuzhen Huang, Jing Lai, Steven F. Jennings
COMGEO
2007
ACM
14 years 9 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»
15 years 2 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...
TALG
2008
115views more  TALG 2008»
14 years 9 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...