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» Vertices of given degree in series-parallel graphs
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COMBINATORICA
2010
14 years 9 months ago
A randomized embedding algorithm for trees
In this paper, we propose a simple and natural randomized algorithm to embed a tree T in a given graph G. The algorithm can be viewed as a "self-avoiding tree-indexed random ...
Benny Sudakov, Jan Vondrák
83
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ISSAC
2007
Springer
112views Mathematics» more  ISSAC 2007»
15 years 5 months ago
G-graphs for the cage problem: a new upper bound
Constructing some regular graph with a given girth, a given degree and the fewest possible vertices is a hard problem. This problem is called the cage graph problem and has some l...
Alain Bretto, Luc Gillibert
DM
2010
90views more  DM 2010»
14 years 11 months ago
The firefighter problem for cubic graphs
We show that the firefighter problem is NP-complete for cubic graphs. We also show that given a rooted tree of maximum degree three in which every leaf is the same distance from t...
Andrew King, Gary MacGillivray
COMBINATORICA
2006
137views more  COMBINATORICA 2006»
14 years 11 months ago
Extremal Problems For Transversals In Graphs With Bounded Degree
We introduce and discuss generalizations of the problem of independent transversals. Given a graph property R, we investigate whether any graph of maximum degree at most d with a ...
Tibor Szabó, Gábor Tardos
78
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COCOA
2008
Springer
15 years 1 months ago
Parameterized Graph Editing with Chosen Vertex Degrees
We study the parameterized complexity of the following problem: is it possible to make a given graph r-regular by applying at most k elementary editing operations; the operations a...
Luke Mathieson, Stefan Szeider