The Degree Sequence of Random Graphs from Subcritical Classes

被引：16
|
作者：
Bernasconi, Nicla [1 ]
Panagiotou, Konstantinos [1 ]
Steger, Angelika [1 ]
机构：
[1] Swiss Fed Inst Technol, Inst Theoret Comp Sci, CH-8092 Zurich, Switzerland
来源：
COMBINATORICS PROBABILITY & COMPUTING | 2009年 / 18卷 / 05期
关键词：
RANDOM GENERATION;
D O I：
10.1017/S0963548309990368
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this work we determine the expected number of vertices of degree k = k(n) in a graph with n vertices that is drawn uniformly at random from a subcritical graph class. Examples of such classes are outerplanar, series-parallel, cactus and clique graphs. Moreover, we provide exponentially small bounds for the probability that the quantities in question deviate from their expected values.
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页码：647 / 681
页数：35
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