We investigate important combinatorial and algorithmic properties of G n,m,p random intersection graphs, In particular, we prove that with high probability (a) random intersection graphs are expanders, (b) random walks on such graphs are "rapidly mixing" (in particular they mix in logarithmic time) and (c) the cover time of random walks on such graphs is optimal (i.e. it is ⊖(n log n)). All results are proved for p very close to the connectivity threshold and for the interesting, non-trivial range where random intersection graphs differ from classical Gn,p random graphs. © Springer-Verlag Berlin Heidelberg 2007.
CITATION STYLE
Nikoletseas, S. E., Raptopoulos, C., & Spirakis, P. G. (2007). Expander properties and the cover time of random intersection graphs. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4708 LNCS, pp. 44–55). Springer Verlag. https://doi.org/10.1007/978-3-540-74456-6_6
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