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CORR
2008
Springer
107views Education» more  CORR 2008»
14 years 11 months ago
The Degree Distribution of Random k-Trees
A power law degree distribution is established for a graph evolution model based on the graph class of k-trees. This k-tree-based graph process can be viewed as an idealized model...
Yong Gao
CPC
1998
123views more  CPC 1998»
14 years 11 months ago
The Size of the Giant Component of a Random Graph with a Given Degree Sequence
Given a sequence of non-negative real numbers 0 1 ::: which sum to 1, we consider a random graph having approximately in vertices of degree i. In 12] the authors essentially show ...
Michael Molloy, Bruce A. Reed
CIE
2007
Springer
15 years 3 months ago
A Weakly 2-Random Set That Is Not Generalized Low
A guiding question in the study of weak 2-randomness is whether weak 2-randomness is closer to 1-randomness, or closer to 2randomness. Recent research indicates that the first alte...
Andrew Lewis, Antonio Montalbán, Andr&eacut...
COMPGEOM
2010
ACM
15 years 4 months ago
On degrees in random triangulations of point sets
We study the expected number of interior vertices of degree i in a triangulation of a point set S, drawn uniformly at random from the set of all triangulations of S, and derive va...
Micha Sharir, Adam Sheffer, Emo Welzl
CORR
2011
Springer
202views Education» more  CORR 2011»
14 years 6 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