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» On Bounds for the k-Partitioning of Graphs
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DM
2008
161views more  DM 2008»
15 years 6 months ago
On the geodetic number and related metric sets in Cartesian product graphs
A set S of vertices of a graph G is a geodetic set if every vertex of G lies in at least one interval between the vertices of S. The size of a minimum geodetic set in G is the geo...
Bostjan Bresar, Sandi Klavzar, Aleksandra Tepeh Ho...
COMGEO
2006
ACM
15 years 6 months ago
Compatible triangulations and point partitions by series-triangular graphs
We introduce series-triangular graph embeddings and show how to partition point sets with them. This result is then used to prove an upper bound on the number of Steiner points nee...
Jeff Danciger, Satyan L. Devadoss, Don Sheehy
ISAAC
2009
Springer
103views Algorithms» more  ISAAC 2009»
16 years 1 months ago
Tri-Edge-Connectivity Augmentation for Planar Straight Line Graphs
It is shown that if a planar straight line graph (PSLG) with n vertices in general position in the plane can be augmented to a 3-edge-connected PSLG, then 2n−2 new edges are enou...
Marwan Al-Jubeh, Mashhood Ishaque, Kristóf ...
SPAA
2004
ACM
15 years 12 months ago
Cache-oblivious shortest paths in graphs using buffer heap
We present the Buffer Heap (BH), a cache-oblivious priority queue that supports Delete-Min, Delete, and Decrease-Key operations in O( 1 B log2 N B ) amortized block transfers fro...
Rezaul Alam Chowdhury, Vijaya Ramachandran
ESA
2001
Springer
132views Algorithms» more  ESA 2001»
15 years 11 months ago
Greedy Algorithms for Minimisation Problems in Random Regular Graphs
In this paper we introduce a general strategy for approximating the solution to minimisation problems in random regular graphs. We describe how the approach can be applied to the m...
Michele Zito