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NETWORKS
2011
12 years 11 months ago
On terminal delta-wye reducibility of planar graphs
A graph is terminal ∆ − Y -reducible if, it can be reduced to a distinguished set of terminal vertices by a sequence of series-parallel reductions and ∆−Y -transformations...
Isidoro Gitler, Feliu Sagols
NIPS
1996
13 years 9 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
ACID
2006
237views Algorithms» more  ACID 2006»
13 years 9 months ago
Parameterized Complexity of Finding Regular Induced Subgraphs
The r-Regular Induced Subgraph problem asks, given a graph G and a nonnegative integer k, whether G contains an r-regular induced subgraph of size at least k, that is, an induced ...
Hannes Moser, Dimitrios M. Thilikos
DM
2008
76views more  DM 2008»
13 years 8 months ago
Graphic sequences with a realization containing a complete multipartite subgraph
A nonincreasing sequence of nonnegative integers = (d1, d2, ..., dn) is graphic if there is a (simple) graph G of order n having degree sequence . In this case, G is said to reali...
Guantao Chen, Michael Ferrara, Ronald J. Gould, Jo...
JGT
2008
77views more  JGT 2008»
13 years 8 months ago
List-coloring the square of a subcubic graph
The square G2 of a graph G is the graph with the same vertex set as G and with two vertices adjacent if their distance in G is at most 2. Thomassen showed that for a planar graph ...
Daniel W. Cranston, Seog-Jin Kim