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COMBINATORICS
2006
169views more  COMBINATORICS 2006»
13 years 8 months ago
The Diameter and Laplacian Eigenvalues of Directed Graphs
For undirected graphs it has been known for some time that one can bound the diameter using the eigenvalues. In this note we give a similar result for the diameter of strongly con...
Fan R. K. Chung
RSA
2006
66views more  RSA 2006»
13 years 8 months ago
Regular graphs whose subgraphs tend to be acyclic
Motivated by a problem that arises in the study of mirrored storage systems, we describe, for any fixed , > 0 and any integer d 2, explicit or randomized constructions of d-r...
Noga Alon, Eitan Bachmat
COLOGNETWENTE
2009
13 years 9 months ago
Colored Trees in Edge-Colored Graphs
We consider maximum properly edge-colored trees in edge-colored graphs Gc . We also consider the problem where, given a vertex r, determine whether the graph has a spanning tree r...
A. Abouelaoualim, V. Borozan, Yannis Manoussakis, ...
SIGMETRICS
2010
ACM
147views Hardware» more  SIGMETRICS 2010»
13 years 7 months ago
On random walks in direction-aware network problems
Graph theory provides a powerful set of metrics and conceptual ideas to model and investigate the behavior of communication networks. Most graph-theoretical frameworks in the netw...
Ali Tizghadam, Alberto Leon-Garcia
SIGCOMM
2010
ACM
13 years 8 months ago
Unbiased sampling in directed social graph
Microblogging services, such as Twitter, are among the most important online social networks(OSNs). Different from OSNs such as Facebook, the topology of microblogging service is ...
Tianyi Wang, Yang Chen, Zengbin Zhang, Peng Sun, B...