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121
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SIAMDM
2010
110views more  SIAMDM 2010»
14 years 10 months ago
Embedding Spanning Trees in Random Graphs
We prove that if T is a tree on n vertices with maximum degree and the edge probability p(n) satisfies: np C max{ log n, n } for some constant > 0, then with high probability...
Michael Krivelevich
154
Voted
OPODIS
2001
15 years 5 months ago
A Very Fast (Linear Time) Distributed Algorithm, on General Graphs, for the Minimum-Weight Spanning Tree
In their pioneering paper [4], Gallager et al. introduced a distributed algorithm for constructing the minimum-weight spanning tree (MST), many authors have suggested ways to enhan...
Lélia Blin, Franck Butelle
RSA
2011
126views more  RSA 2011»
14 years 10 months ago
Local resilience of almost spanning trees in random graphs
We prove that for fixed integer D and positive reals α and γ, there exists a constant C0 such that for all p satisfying p(n) ≥ C0/n, the random graph G(n, p) asymptotically a...
József Balogh, Béla Csaba, Wojciech ...
144
Voted
ICDE
2009
IEEE
133views Database» more  ICDE 2009»
15 years 10 months ago
STAR: Steiner-Tree Approximation in Relationship Graphs
— Large graphs and networks are abundant in modern information systems: entity-relationship graphs over relational data or Web-extracted entities, biological networks, social onl...
Gjergji Kasneci, Maya Ramanath, Mauro Sozio, Fabia...
156
Voted
ENTCS
2007
190views more  ENTCS 2007»
15 years 3 months ago
Modelling Multicast QoS Routing by using Best-Tree Search in And-or Graphs and Soft Constraint Logic Programming
We suggest a formal model to represent and solve the multicast routing problem in multicast networks. To attain this, we model the network adapting it to a weighted and-or graph, ...
Stefano Bistarelli, Ugo Montanari, Francesca Rossi...