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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»
12 years 11 months 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 4 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...