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» On the Number of Cycles in Planar Graphs
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AAIM
2010
Springer
144views Algorithms» more  AAIM 2010»
14 years 2 days 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»
13 years 7 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»
13 years 7 months ago
Packing edge-disjoint cycles in graphs and the cyclomatic number
For a graph G let
Jochen Harant, Dieter Rautenbach, Peter Recht, Fri...
GD
1999
Springer
14 years 18 hour 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»
13 years 6 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...