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 ลฝ ลฝ 2 . 1 q โ which can be computed by known algorithms in O log n time with
โฆ LIBER โฆ
A V log V algorithm for isomorphism of triconnected planar graphs
โ Scribed by J.E. Hopcroft; R.E. Tarjan
- Publisher
- Elsevier Science
- Year
- 1973
- Tongue
- English
- Weight
- 476 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0022-0000
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โฆ Synopsis
An algorithm for determining whether two triconnected planar graphs are isomorphic is presented. The asymptotic growth rate of the algorithm is bounded by a constant times ! V ! log I V [ where I V I is the number of vertices in the graphs.
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## Abstract The acyclic list chromatic number of every planar graph is proved to be at most 7. ยฉ 2002 Wiley Periodicals, Inc. J Graph Theory 40: 83โ90, 2002