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» The Complexity of Graph Connectivity
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180
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WADS
2005
Springer
145views Algorithms» more  WADS 2005»
15 years 11 months ago
Approximation Algorithms for Forests Augmentation Ensuring Two Disjoint Paths of Bounded Length
Given a forest F = (V, E) and a positive integer D, we consider the problem of finding a minimum number of new edges E such that in the augmented graph H = (V, E∪E ) any pair of...
Victor Chepoi, Bertrand Estellon, Yann Vaxè...
147
Voted
ISAAC
2003
Springer
96views Algorithms» more  ISAAC 2003»
15 years 11 months ago
On the Geometric Dilation of Finite Point Sets
Let G be an embedded planar graph whose edges may be curves. For two arbitrary points of G, we can compare the length of the shortest path in G connecting them against their Euclid...
Annette Ebbers-Baumann, Ansgar Grüne, Rolf Kl...
CN
2008
118views more  CN 2008»
15 years 6 months ago
Modeling and computing throughput capacity of wireless multihop networks
Capacity is an important property for QoS support in Mobile Ad Hoc Networks (MANETs) and has been extensively studied. However, most approaches rely on simplified models (e.g., pr...
Patrick Stuedi, Gustavo Alonso
122
Voted
DM
1999
61views more  DM 1999»
15 years 5 months ago
On an equivalence in discrete extremal problems
We introduce some equivalence relations on graphs and posets and prove that they are closed under the cartesian product operation. These relations concern the edge-isoperimetric p...
Sergei L. Bezrukov
MLQ
2011
15 years 1 months ago
Weak Borel chromatic numbers
Given a graph G whose set of vertices is a Polish space X, the weak Borel chromatic number of G is the least size of a family of pairwise disjoint G-independent Borel sets that cov...
Stefan Geschke