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CORR
2011
Springer
202views Education» more  CORR 2011»
13 years 2 months ago
High Degree Vertices, Eigenvalues and Diameter of Random Apollonian Networks
ABSTRACT. Upon the discovery of power laws [8, 16, 30], a large body of work in complex network analysis has focused on developing generative models of graphs which mimick real-wor...
Alan M. Frieze, Charalampos E. Tsourakakis
DM
2008
104views more  DM 2008»
13 years 7 months ago
On edge-weighted recursive trees and inversions in random permutations
We introduce random recursive trees, where deterministically weights are attached to the edges according to the labeling of the trees. We will give a bijection between recursive t...
Markus Kuba, Alois Panholzer
IWOCA
2009
Springer
134views Algorithms» more  IWOCA 2009»
14 years 1 months ago
Combinatorial Models for Cooperation Networks
Abstract. We analyze special random network models – so-called thickened trees – which are constructed by random trees where the nodes are replaced by local clusters. These obj...
Michael Drmota, Bernhard Gittenberger, Reinhard Ku...
STOC
2005
ACM
135views Algorithms» more  STOC 2005»
14 years 7 months ago
On the bias of traceroute sampling: or, power-law degree distributions in regular graphs
Understanding the graph structure of the Internet is a crucial step for building accurate network models and designing efficient algorithms for Internet applications. Yet, obtaini...
Dimitris Achlioptas, Aaron Clauset, David Kempe, C...
CPC
2002
80views more  CPC 2002»
13 years 7 months ago
The Wiener Index Of Random Trees
The Wiener index is analyzed for random recursive trees and random binary search trees in the uniform probabilistic models. We obtain the expectations, asymptotics for the varianc...
Ralph Neininger