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» The independence number in graphs of maximum degree three
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DM
2010
89views more  DM 2010»
14 years 9 months ago
Large induced subgraphs with equated maximum degree
For a graph G, denote by fk(G) the smallest number of vertices that must be deleted from G so that the remaining induced subgraph has its maximum degree shared by at least k verti...
Yair Caro, Raphael Yuster
FOCS
2008
IEEE
15 years 4 months ago
Constant-Time Approximation Algorithms via Local Improvements
We present a technique for transforming classical approximation algorithms into constant-time algorithms that approximate the size of the optimal solution. Our technique is applic...
Huy N. Nguyen, Krzysztof Onak
DM
2010
90views more  DM 2010»
14 years 9 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
WG
2005
Springer
15 years 3 months ago
Induced Subgraphs of Bounded Degree and Bounded Treewidth
We prove that for all 0 ≤ t ≤ k and d ≥ 2k, every graph G with treewidth at most k has a ‘large’ induced subgraph H, where H has treewidth at most t and every vertex in ...
Prosenjit Bose, Vida Dujmovic, David R. Wood
SIAMCOMP
2002
139views more  SIAMCOMP 2002»
14 years 9 months ago
Approximating the Domatic Number
A set of vertices in a graph is a dominating set if every vertex outside the set has a neighbor in the set. The domatic number problem is that of partitioning the vertices of a gra...
Uriel Feige, Magnús M. Halldórsson, ...