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» Undirected Graphs of Entanglement 2
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JGT
2010
158views more  JGT 2010»
13 years 5 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»
13 years 1 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
14 years 1 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»
13 years 6 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
13 years 1 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