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FOCS
1994
IEEE
15 years 8 months ago
Randomized and deterministic algorithms for geometric spanners of small diameter
Let S be a set of n points in IRd and let t > 1 be a real number. A t-spanner for S is a directed graph having the points of S as its vertices, such that for any pair p and q o...
Sunil Arya, David M. Mount, Michiel H. M. Smid
COMGEO
1999
ACM
15 years 4 months ago
Dynamic algorithms for geometric spanners of small diameter: Randomized solutions
Let S be a set of n points in IRd and let t > 1 be a real number. A t-spanner for S is a directed graph having the points of S as its vertices, such that for any pair p and q o...
Sunil Arya, David M. Mount, Michiel H. M. Smid
SODA
2010
ACM
201views Algorithms» more  SODA 2010»
16 years 1 months ago
Efficient Broadcast on Random Geometric Graphs
A Random Geometric Graph (RGG) in two dimensions is constructed by distributing n nodes independently and uniformly at random in [0, n ]2 and creating edges between every pair of...
Milan Bradonji, Robert Elsässer, Tobias Friedrich...
WG
2001
Springer
15 years 8 months ago
Critical and Anticritical Edges in Perfect Graphs
We call an edge e of a perfect graph G critical if G − e is imperfect and say further that e is anticritical with respect to the complementary graph G. We ask in which perfect gr...
Annegret Wagler
FCT
2007
Springer
15 years 6 months ago
On the Complexity of Kings
The diameter of an undirected graph is the minimal number d such that there is a path between any two vertices of the graph of length at most d. The radius of a graph is the minim...
Edith Hemaspaandra, Lane A. Hemaspaandra, Till Tan...