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» On the hyperbolicity constant in graphs
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WADS
2005
Springer
111views Algorithms» more  WADS 2005»
15 years 11 months ago
On Geometric Dilation and Halving Chords
Let G be an embedded planar graph whose edges may be curves. The detour between two points, p and q (on edges or vertices) of G, is the ratio between the shortest path in G between...
Adrian Dumitrescu, Annette Ebbers-Baumann, Ansgar ...
ICALP
2001
Springer
15 years 10 months ago
Routing in Trees
Given an undirected graph with positive edge weights, define Nq(v) for each node v to be the set of q nodes closest to v (including v itself and breaking ties by node ID). It is ...
Pierre Fraigniaud, Cyril Gavoille
FOCS
1993
IEEE
15 years 10 months ago
On Bounded Queries and Approximation
This paper investigates the computational complexity of approximating several NPoptimization problems using the number of queries to an NP oracle as a complexity measure. The resu...
Richard Chang, William I. Gasarch
CORR
2010
Springer
145views Education» more  CORR 2010»
15 years 6 months ago
CAT-generation of ideals
We consider the problem of generating all ideals of a poset. It is a long standing open problem, whether or not the ideals of any poset can be generated in constant amortized time...
Torsten Ueckerdt
JCSS
2011
95views more  JCSS 2011»
15 years 1 months ago
Hardness results for approximating the bandwidth
The bandwidth of an n-vertex graph G is the minimum value b such that the vertices of G can be mapped to distinct integer points on a line without any edge being stretched to a di...
Chandan K. Dubey, Uriel Feige, Walter Unger