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» On the Number of Cycles in Planar Graphs
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AAIM
2010
Springer
144views Algorithms» more  AAIM 2010»
15 years 4 months ago
Kernelization for Cycle Transversal Problems
Abstract. We present new kernelization results for the s-cycle transversal problem for s > 3. In particular, we show a 6k2 kernel for 4-cycle transversal and a O(ks−1 ) kernel...
Ge Xia, Yong Zhang
SIAMDM
2008
101views more  SIAMDM 2008»
14 years 11 months ago
On Planar Quasi-Parity Graphs
A graph G is strict quasi parity (SQP) if every induced subgraph of G that is not a clique contains a pair of vertices with no odd chordless path between them (an even pair). Houga...
Cláudia Linhares Sales, Frédé...
DM
2010
83views more  DM 2010»
14 years 11 months ago
Packing edge-disjoint cycles in graphs and the cyclomatic number
For a graph G let
Jochen Harant, Dieter Rautenbach, Peter Recht, Fri...
76
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GD
1999
Springer
15 years 4 months ago
Planarity-Preserving Clustering and Embedding for Large Planar Graphs
In this paper we present a novel approach for cluster-based drawing of large planar graphs that maintains planarity. Our technique works for arbitrary planar graphs and produces a ...
Christian A. Duncan, Michael T. Goodrich, Stephen ...
JGT
2010
135views more  JGT 2010»
14 years 10 months ago
Cycle length parities and the chromatic number
In 1966 Erd˝os and Hajnal proved that the chromatic number of graphs whose
Christian Löwenstein, Dieter Rautenbach, Ingo...