Welcome to the resource topic for 1998/002
Title:
The Graph Clustering Problem has a Perfect Zero-Knowledge Proof
Authors: A. De Santis, G. Di Crescenzo, O. Goldreich, G. Persiano.
Abstract:The input to the Graph Clustering Problem
consists of a sequence of integers m_1,...,m_t
and a sequence of \sum_{i=1}^{t}m_i graphs.
The question is whether the equivalence classes,
under the graph isomorphism relation,
of the input graphs have sizes which match the input sequence of integers.
In this note we show that this problem has a (perfect) zero-knowledge
interactive proof system.
This result improves over record 96-14,
where a parametrized (by the sequence of integers)
version of the problem was studied.
ePrint: https://eprint.iacr.org/1998/002
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