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Random Lifts of Graphs: Edge Expansion

Published online by Cambridge University Press:  07 April 2006

ALON AMIT  and
NATHAN LINIAL
ALON AMIT
Affiliation:
Institute of Mathematics, Hebrew University, Jerusalem 91904, Israel (e-mail: alona@math.huji.ac.il)
NATHAN LINIAL
Affiliation:
Institute of Computer Science, Hebrew University, Jerusalem 91904, Israel (e-mail: nati@cs.huji.ac.il)
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Abstract

We continue the study of random lifts of graphs initiated in [4]. Here we study the possibility of generating graphs with high edge expansion as random lifts. Along the way, we introduce the method of $\epsilon$-nets into the study of random structures. This enables us to improve (slightly) the known bounds for the edge expansion of regular graphs.

Type
Paper
Information
Combinatorics, Probability and Computing , Volume 15 , Issue 3 , May 2006 , pp. 317 - 332
Copyright
2006 Cambridge University Press

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