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» The firefighter problem for cubic graphs
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DM
2010
90views more  DM 2010»
13 years 5 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
SIAMDM
2010
119views more  SIAMDM 2010»
13 years 1 days ago
Surviving Rates of Graphs with Bounded Treewidth for the Firefighter Problem
The firefighter problem is the following discrete-time game on a graph. Initially, a fire starts at a vertex of the graph. In each round, a firefighter protects one vertex not yet ...
Leizhen Cai, Yongxi Cheng, Elad Verbin, Yuan Zhou
WAOA
2007
Springer
170views Algorithms» more  WAOA 2007»
13 years 11 months ago
A 5/3-Approximation for Finding Spanning Trees with Many Leaves in Cubic Graphs
For a connected graph G, let L(G) denote the maximum number of leaves in a spanning tree in G. The problem of computing L(G) is known to be NP-hard even for cubic graphs. We improv...
José R. Correa, Cristina G. Fernandes, Mart...
JGAA
2007
81views more  JGAA 2007»
13 years 5 months ago
The Traveling Salesman Problem for Cubic Graphs
We show how to find a Hamiltonian cycle in a graph of degree at most three with n vertices, in time O(2n/3
David Eppstein
ASIAN
1999
Springer
86views Algorithms» more  ASIAN 1999»
13 years 9 months ago
A Parallel Approximation Algorithm for the Max Cut Problem on Cubic Graphs
Tiziana Calamoneri, Irene Finocchi, Yannis Manouss...