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» On Stable Cutsets in Claw-Free Graphs and Planar Graphs
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WG
2005
Springer
13 years 10 months ago
On Stable Cutsets in Claw-Free Graphs and Planar Graphs
To decide whether a line graph (hence a claw-free graph) of maximum degree five admits a stable cutset has been proven to be an NP-complete problem. The same result has been known...
Van Bang Le, Raffaele Mosca, Haiko Müller
SIAMDM
2010
128views more  SIAMDM 2010»
13 years 3 months ago
t-Perfection Is Always Strong for Claw-Free Graphs
A connected graph G is called t-perfect if its stable set polytope is determined by the non-negativity, edge and odd-cycle inequalities. Moreover, G is called strongly t-perfect i...
Henning Bruhn, Maya Stein
ORL
2008
120views more  ORL 2008»
13 years 4 months ago
Composition of stable set polyhedra
Barahona and Mahjoub found a defining system of the stable set polytope for a graph with a cut-set of cardinality 2. We extend this result to cut-sets composed of a complete graph...
Benjamin McClosky, Illya V. Hicks
NIPS
1996
13 years 6 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
COCOON
2003
Springer
13 years 10 months ago
Graph Coloring and the Immersion Order
The relationship between graph coloring and the immersion order is considered. Vertex connectivity, edge connectivity and related issues are explored. These lead to the conjecture...
Faisal N. Abu-Khzam, Michael A. Langston