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AAIM
2011
Springer
337views Algorithms» more  AAIM 2011»
13 years 2 months ago
On Variants of the Spanning Star Forest Problem
A star forest is a collection of vertex-disjoint trees of depth at most 1, and its size is the number of leaves in all its components. A spanning star forest of a given graph G is ...
Jing He, Hongyu Liang
WG
1999
Springer
14 years 2 months ago
Linear Orderings of Random Geometric Graphs
Abstract. In random geometric graphs, vertices are randomly distributed on [0, 1]2 and pairs of vertices are connected by edges whenever they are sufficiently close together. Layou...
Josep Díaz, Mathew D. Penrose, Jordi Petit,...
APPROX
2008
Springer
184views Algorithms» more  APPROX 2008»
14 years 11 days ago
Approximately Counting Embeddings into Random Graphs
Let H be a graph, and let CH(G) be the number of (subgraph isomorphic) copies of H contained in a graph G. We investigate the fundamental problem of estimating CH(G). Previous res...
Martin Fürer, Shiva Prasad Kasiviswanathan
COCOA
2007
Springer
14 years 4 months ago
On the Complexity of Some Colorful Problems Parameterized by Treewidth
Abstract. We study the complexity of several coloring problems on graphs, parameterized by the treewidth t of the graph: (1) The list chromatic number χl(G) of a graph G is defin...
Michael R. Fellows, Fedor V. Fomin, Daniel Lokshta...
WAOA
2005
Springer
142views Algorithms» more  WAOA 2005»
14 years 3 months ago
On the Minimum Load Coloring Problem
Given a graph G = (V, E) with n vertices, m edges and maximum vertex degree ∆, the load distribution of a coloring ϕ : V → {red, blue} is a pair dϕ = (rϕ, bϕ), where rϕ i...
Nitin Ahuja, Andreas Baltz, Benjamin Doerr, Ales P...