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» Oriented diameter of graphs with diameter 3
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SWAT
2010
Springer
242views Algorithms» more  SWAT 2010»
14 years 7 months ago
Minimizing the Diameter of a Network Using Shortcut Edges
We study the problem of minimizing the diameter of a graph by adding k shortcut edges, for speeding up communication in an existing network design. We develop constant-factor appro...
Erik D. Demaine, Morteza Zadimoghaddam
CORR
2010
Springer
59views Education» more  CORR 2010»
14 years 9 months ago
Edge Growth in Graph Cubes
We show that for every connected graph G of diameter 3, the graph G3 has average degree 7 4 (G). We also provide an example showing that this bound is best possible. This resolv...
Matt DeVos, Stéphan Thomassé
JCT
2006
46views more  JCT 2006»
14 years 9 months ago
Optimal tristance anticodes in certain graphs
For z1, z2, z3 Zn, the tristance d3(z1, z2, z3) is a generalization of the L1-distance on Zn to a quantity that reflects the relative dispersion of three points rather than two. ...
Tuvi Etzion, Moshe Schwartz, Alexander Vardy
FCT
2007
Springer
14 years 11 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...
SODA
1994
ACM
138views Algorithms» more  SODA 1994»
14 years 10 months ago
Average Case Analysis of Dynamic Geometric Optimization
We maintain the maximum spanning tree of a planar point set, as points are inserted or deleted, in O(log3 n) time per update in Mulmuley's expected-case model of dynamic geom...
David Eppstein