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DM
2010
90views more  DM 2010»
13 years 8 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
DM
2008
58views more  DM 2008»
13 years 8 months ago
The vertex isoperimetric problem for the powers of the diamond graph
We introduce a new graph for all whose cartesian powers the vertex isoperimetric problem has nested solutions. This is the fourth kind of graphs with this property besides the wel...
Sergei L. Bezrukov, Miquel Rius, Oriol Serra
CPM
2006
Springer
176views Combinatorics» more  CPM 2006»
14 years 9 days ago
Longest Common Subsequences in Permutations and Maximum Cliques in Circle Graphs
For two strings a, b, the longest common subsequence (LCS) problem consists in comparing a and b by computing the length of their LCS. In a previous paper, we defined a generalisat...
Alexandre Tiskin
GECCO
2006
Springer
157views Optimization» more  GECCO 2006»
14 years 7 days ago
How randomized search heuristics find maximum cliques in planar graphs
Surprisingly, general search heuristics often solve combinatorial problems quite sufficiently, although they do not outperform specialized algorithms. Here, the behavior of simple...
Tobias Storch
NETWORKS
2010
13 years 7 months ago
Fixed-parameter tractability results for full-degree spanning tree and its dual
We provide first-time fixed-parameter tractability results for the NP-complete problems Maximum Full-Degree Spanning Tree and Minimum-Vertex Feedback Edge Set. These problems are...
Jiong Guo, Rolf Niedermeier, Sebastian Wernicke