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ALGORITHMICA
2006
161views more  ALGORITHMICA 2006»
15 years 7 months ago
The Expected Size of the Rule k Dominating Set
Dai, Li, and Wu proposed Rule k, a localized approximation algorithm that attempts to find a small connected dominating set in a graph. In this paper we consider the "average...
Jennie C. Hansen, Eric Schmutz, Li Sheng
COMBINATORICS
2006
119views more  COMBINATORICS 2006»
15 years 7 months ago
Relaxations of Ore's Condition on Cycles
A simple, undirected 2-connected graph G of order n belongs to class O(n,), 0, if 2 = n - . It is well known (Ore's theorem) that G is hamiltonian if = 0, in which case the 2...
Ahmed Ainouche
ISI
2007
Springer
16 years 1 months ago
Detecting Anomalies in Graphs
Graph data represents relationships, connections, or affinities. Innocent relationships produce repeated, and so common, substructures in graph data. We present techniques for dis...
David B. Skillicorn
SPAA
2005
ACM
16 years 17 days ago
The expansion and mixing time of skip graphs with applications
We prove that with high probability a skip graph contains a 4-regular expander as a subgraph, and estimate the quality of the expansion via simulations. As a consequence skip grap...
James Aspnes, Udi Wieder
149
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BIRTHDAY
2005
Springer
16 years 17 days ago
Flexible Interconnection of Graph Transformation Modules
Modularization is a well-known concept to structure software systems as well as their specifications. Modules are equipped with export and import interfaces and thus can be connec...
Gregor Engels, Reiko Heckel, Alexey Cherchago