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» Undirected Graphs of Entanglement 2
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JGT
2010
158views more  JGT 2010»
14 years 10 months ago
Cubicity of interval graphs and the claw number
Let G(V, E) be a simple, undirected graph where V is the set of vertices and E is the set of edges. A b-dimensional cube is a Cartesian product I1 × I2 × · · · × Ib, where ea...
Abhijin Adiga, L. Sunil Chandran
TALG
2011
98views more  TALG 2011»
14 years 6 months ago
Tree exploration with logarithmic memory
We consider the task of network exploration by a mobile agent (robot) with small memory. The agent has to traverse all nodes and edges of a network (represented as an undirected c...
Christoph Ambühl, Leszek Gasieniec, Andrzej P...
COMPGEOM
2009
ACM
15 years 6 months ago
Minimum cuts and shortest homologous cycles
We describe the first algorithms to compute minimum cuts in surface-embedded graphs in near-linear time. Given an undirected graph embedded on an orientable surface of genus g, w...
Erin W. Chambers, Jeff Erickson, Amir Nayyeri
DAM
2008
82views more  DAM 2008»
14 years 11 months ago
Closest 4-leaf power is fixed-parameter tractable
The NP-complete Closest 4-Leaf Power problem asks, given an undirected graph, whether it can be modified by at most r edge insertions or deletions such that it becomes a 4-leaf po...
Michael Dom, Jiong Guo, Falk Hüffner, Rolf Ni...
DCC
2011
IEEE
14 years 6 months ago
Directed graph representation of half-rate additive codes over GF(4)
We show that (n, 2n ) additive codes over GF(4) can be represented as directed graphs. This generalizes earlier results on self-dual additive codes over GF(4), which correspond to ...
Lars Eirik Danielsen, Matthew G. Parker