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CORR
2011
Springer
174views Education» more  CORR 2011»
14 years 4 months ago
Lower bounds on the obstacle number of graphs
Given a graph G, an obstacle representation of G is a set of points in the plane representing the vertices of G, together with a set of connected obstacles such that two vertices ...
Padmini Mukkamala, János Pach, Döm&oum...
69
Voted
SWAT
1990
Springer
75views Algorithms» more  SWAT 1990»
15 years 1 months ago
Finding the k Smallest Spanning Trees
We give improved solutions for the problem of generating the k smallest spanning trees in a graph and in the plane. Our algorithm for general graphs takes time O(m log (m, n) + k2...
David Eppstein
ENDM
2008
142views more  ENDM 2008»
14 years 9 months ago
Augmenting the Connectivity of Planar and Geometric Graphs
In this paper we study some connectivity augmentation problems. Given a connected graph G with some desirable property, we want to make G 2-vertex connected (or 2-edge connected) ...
Ignaz Rutter, Alexander Wolff
GC
2006
Springer
14 years 9 months ago
Alternating Paths along Axis-Parallel Segments
It is shown that for a set S of n pairwise disjoint axis-parallel line segments in the plane there is a simple alternating path of length ( n). This bound is best possible in the...
Csaba D. Tóth
COMPGEOM
2011
ACM
14 years 1 months ago
Three problems about dynamic convex hulls
We present three results related to dynamic convex hulls: • A fully dynamic data structure for maintaining a set of n points in the plane so that we can find the edges of the c...
Timothy M. Chan