Paper 2012/352
On Hashing Graphs
Ashish Kundu and Elisa Bertino
Abstract
Collision resistant one-way hashing schemes are the basic building blocks of almost all crypto-systems. Use of graph-structured data models are on the rise -- in graph databases, representation of biological and healthcare data as well as in modeling systems for representing system topologies. Therefore, the problem of hashing graphs with respect to crypto-systems needs to be studied and addressed. The traditional Merkle Hash technique cannot be applied as it is because graphs are more complex data structures than trees. In this paper, we make the following contributions: (1) we define the formal security model of hashing schemes for graphs, (2) we define the formal security model of leakage-free hashing schemes for graphs, (3) we describe a hashing scheme for hashing directed and undirected graphs that uses Merkle hash technique, (4) and a hashing scheme that uses structural information instead of Merkle hash technique, (5) we define leakage-free hashing schemes for graphs. Our constructions use graph traversal techniques and are highly efficient with respect to updates to graphs: they require as little as two (O(1)) hash values to be updated to refresh the hash of the graph, while the Merkle Hash Technique and Search DAG schemes for trees and DAGs respectively require as many as O(|V|) and O(|V|+|E|).
Metadata
- Available format(s)
-
PDF PS
- Category
- Cryptographic protocols
- Publication info
- Published elsewhere. Manuscript (Preliminary draft)
- Keywords
- HashGraphsMerkle Hash Technique
- Contact author(s)
- akundu @ us ibm com
- History
- 2012-06-22: received
- Short URL
- https://ia.cr/2012/352
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2012/352, author = {Ashish Kundu and Elisa Bertino}, title = {On Hashing Graphs}, howpublished = {Cryptology {ePrint} Archive, Paper 2012/352}, year = {2012}, url = {https://eprint.iacr.org/2012/352} }