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» The metamathematics of random graphs
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ISAAC
2009
Springer
150views Algorithms» more  ISAAC 2009»
15 years 4 months ago
Random Generation and Enumeration of Bipartite Permutation Graphs
Connected bipartite permutation graphs without vertex labels are investigated. First, the number of connected bipartite permutation graphs of n vertices is given. Based on the num...
Toshiki Saitoh, Yota Otachi, Katsuhisa Yamanaka, R...
CORR
2006
Springer
151views Education» more  CORR 2006»
14 years 9 months ago
Graph Laplacians and their convergence on random neighborhood graphs
Given a sample from a probability measure with support on a submanifold in Euclidean space one can construct a neighborhood graph which can be seen as an approximation of the subm...
Matthias Hein, Jean-Yves Audibert, Ulrike von Luxb...
APPROX
2008
Springer
184views Algorithms» more  APPROX 2008»
14 years 11 months ago
Approximately Counting Embeddings into Random Graphs
Let H be a graph, and let CH(G) be the number of (subgraph isomorphic) copies of H contained in a graph G. We investigate the fundamental problem of estimating CH(G). Previous res...
Martin Fürer, Shiva Prasad Kasiviswanathan
SDM
2009
SIAM
104views Data Mining» more  SDM 2009»
15 years 7 months ago
On Randomness Measures for Social Networks.
Social networks tend to contain some amount of randomness and some amount of non-randomness. The amount of randomness versus non-randomness affects the properties of a social netw...
Xiaowei Ying, Xintao Wu
CORR
2008
Springer
107views Education» more  CORR 2008»
14 years 9 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