Random Graph Isomorphism
✍ Scribed by Babai, László; Erdo˝s, Paul; Selkow, Stanley M.
- Book ID
- 118173685
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1980
- Tongue
- English
- Weight
- 638 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0097-5397
- DOI
- 10.1137/0209047
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
A chemically and graph-theoretically relevant problem is that of determining whether a pair of graphs G and G' are isomorphic. A two-stage computational test is developed. In the first stage an "eigenvalue-eigenprojector" tabular graph-theoretic invariant is computed, whence if the two tables differ
A graph is focal if the stabiliser of every vertex x fixes exactly one edge not incident with x. It is shown that the problem of testing whether a connected bipartite graph is focal has the same complexity as the graph isomorphism problem. Several other similar questions are also considered.
We present a parallel randomized algorithm running on a CRCW PRAM, to determine whether two planar graphs are isomorphic, and if so to find the isomorphism. We assume that we have a tree of separators for each planar graph Ž Ž 2 . 1 q ⑀ which can be computed by known algorithms in O log n time with