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» Compressing Bounded Degree 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
84
Voted
DAM
2007
70views more  DAM 2007»
14 years 9 months ago
Tree-edges deletion problems with bounded diameter obstruction sets
We study the following problem: Given a tree G and a finite set of trees H, find a subset O of the edges of G such that G − O does not contain a subtree isomorphic to a tree f...
Dekel Tsur
DAM
2000
84views more  DAM 2000»
14 years 9 months ago
Three-dimensional orthogonal graph drawing algorithms
We use basic results from graph theory to design algorithms for constructing three-dimensional, intersection-free orthogonal grid drawings of n vertex graphs of maximum degree 6. ...
Peter Eades, Antonios Symvonis, Sue Whitesides
COCOON
2005
Springer
15 years 3 months ago
A Tight Analysis of the Maximal Matching Heuristic
We study the worst-case performance of the maximal matching heuristic applied to the Minimum Vertex Cover and Minimum Maximal Matching problems, through a careful analysis of tigh...
Jean Cardinal, Martine Labbé, Stefan Langer...
STACS
2010
Springer
15 years 4 months ago
Large-Girth Roots of Graphs
We study the problem of recognizing graph powers and computing roots of graphs. We provide a polynomial time recognition algorithm for r-th powers of graphs of girth at least 2r + ...
Anna Adamaszek, Michal Adamaszek