Reductions to Graph Isomorphism
✍ Scribed by Jacobo Torán
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 382 KB
- Volume
- 47
- Category
- Article
- ISSN
- 1433-0490
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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.
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