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» The Degree Distribution of Random k-Trees
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COMPGEOM
2010
ACM
13 years 10 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
IJCAI
2001
13 years 6 months ago
Search on High Degree Graphs
We show that nodes of high degree tend to occur infrequently in random graphs but frequently in a wide variety of graphs associated with real world search problems. We then study ...
Toby Walsh
RSA
2006
98views more  RSA 2006»
13 years 5 months ago
Levels of a scale-free tree
Consider the random graph model of Barab
Zsolt Katona
ICALP
2007
Springer
13 years 11 months ago
Quasi-randomness and Algorithmic Regularity for Graphs with General Degree Distributions
Abstract. We deal with two intimately related subjects: quasi-randomness and regular partitions. The purpose of the concept of quasi-randomness is to measure how much a given graph...
Noga Alon, Amin Coja-Oghlan, Hiêp Hàn...
JCT
2007
150views more  JCT 2007»
13 years 5 months ago
On the degree distribution of the nodes in increasing trees
Abstract. Simple families of increasing trees can be constructed from simply generated tree families, if one considers for every tree of size n all its increasing labellings, i.e.,...
Markus Kuba, Alois Panholzer