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» The Complexity of Graph Connectivity
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ISAAC
2004
Springer
141views Algorithms» more  ISAAC 2004»
14 years 3 months ago
Weighted Coloring on Planar, Bipartite and Split Graphs: Complexity and Improved Approximation
We study complexity and approximation of min weighted node coloring in planar, bipartite and split graphs. We show that this problem is NP-complete in planar graphs, even if they a...
Jérôme Monnot, Vangelis Th. Paschos, ...
CORR
2010
Springer
59views Education» more  CORR 2010»
13 years 10 months ago
Edge Growth in Graph Cubes
We show that for every connected graph G of diameter 3, the graph G3 has average degree 7 4 (G). We also provide an example showing that this bound is best possible. This resolv...
Matt DeVos, Stéphan Thomassé
COMBINATORICS
1999
95views more  COMBINATORICS 1999»
13 years 10 months ago
Maximum Degree Growth of the Iterated Line Graph
Let k denote the maximum degree of the kth iterated line graph Lk(G). For any connected graph G that is not a path, the inequality k+1 2k - 2 holds. Niepel, Knor, and Solt
Stephen G. Hartke, Aparna W. Higgins
CORR
2008
Springer
73views Education» more  CORR 2008»
13 years 10 months ago
On acceptance conditions for membrane systems: characterisations of L and NL
In this paper we investigate the affect of various acceptance conditions on recogniser membrane systems without dissolution. We demonstrate that two particular acceptance conditio...
Niall Murphy, Damien Woods
EDBT
2009
ACM
138views Database» more  EDBT 2009»
14 years 5 months ago
FOGGER: an algorithm for graph generator discovery
To our best knowledge, all existing graph pattern mining algorithms can only mine either closed, maximal or the complete set of frequent subgraphs instead of graph generators whic...
Zhiping Zeng, Jianyong Wang, Jun Zhang, Lizhu Zhou