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» Packing Cycles in Graphs
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99
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ITCC
2003
IEEE
15 years 5 months ago
Distance-Hereditary Embeddings of Circulant Graphs
In this paper we present a distance-hereditary decomposition of optimal chordal rings of 2k2 nodes into a set of rings of 2k nodes, where k is the diameter. All the rings belongin...
Carmen Martínez, Ramón Beivide, Jaim...
80
Voted
EJC
2007
15 years 17 days ago
Chords of longest circuits in locally planar graphs
It was conjectured by Thomassen ([B. Alspach, C. Godsil, Cycle in graphs, Ann. Discrete Math. 27 (1985)], p. 466) that every longest circuit of a 3-connected graph must have a cho...
Ken-ichi Kawarabayashi, Jianbing Niu, Cun-Quan Zha...
NIPS
1996
15 years 1 months ago
Are Hopfield Networks Faster than Conventional Computers?
It is shown that conventional computers can be exponentially faster than planar Hopfield networks: although there are planar Hopfield networks that take exponential time to conver...
Ian Parberry, Hung-Li Tseng
IWOCA
2009
Springer
153views Algorithms» more  IWOCA 2009»
15 years 7 months ago
Feedback Vertex Set on Graphs of Low Cliquewidth
The Feedback Vertex Set problem asks whether a graph contains q vertices meeting all its cycles. This is not a local property, in the sense that we cannot check if q vertices meet...
Binh-Minh Bui-Xuan, Jan Arne Telle, Martin Vatshel...
ALGORITHMICA
2006
138views more  ALGORITHMICA 2006»
15 years 20 days ago
Planar Graph Coloring Avoiding Monochromatic Subgraphs: Trees and Paths Make It Difficult
We consider the problem of coloring a planar graph with the minimum number of colors so that each color class avoids one or more forbidden graphs as subgraphs. We perform a detail...
Hajo Broersma, Fedor V. Fomin, Jan Kratochví...