Extended h-Index Parameterized Data Structures for Computing Dynamic Subgraph Statistics
Data Structures and Algorithms
2012-07-18 v1
Abstract
We present techniques for maintaining subgraph frequencies in a dynamic graph, using data structures that are parameterized in terms of h, the h-index of the graph. Our methods extend previous results of Eppstein and Spiro for maintaining statistics for undirected subgraphs of size three to directed subgraphs and to subgraphs of size four. For the directed case, we provide a data structure to maintain counts for all 3-vertex induced subgraphs in O(h) amortized time per update. For the undirected case, we maintain the counts of size-four subgraphs in O(h^2) amortized time per update. These extensions enable a number of new applications in Bioinformatics and Social Networking research.
Keywords
Cite
@article{arxiv.1009.0783,
title = {Extended h-Index Parameterized Data Structures for Computing Dynamic Subgraph Statistics},
author = {David Eppstein and Michael T. Goodrich and Darren Strash and Lowell Trott},
journal= {arXiv preprint arXiv:1009.0783},
year = {2012}
}