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SIAMDM
2010
110views more  SIAMDM 2010»
13 years 3 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
OPODIS
2001
13 years 10 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»
13 years 3 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 ...
ICDE
2009
IEEE
133views Database» more  ICDE 2009»
14 years 3 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...
ENTCS
2007
190views more  ENTCS 2007»
13 years 8 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...