Computation of a (canonical) doubly perfect elimination ordering of a doubly chordal graph
β Scribed by Lee, Mahnhoon ;Kim, Changhwa
- Publisher
- Springer-Verlag
- Year
- 1998
- Tongue
- English
- Weight
- 119 KB
- Volume
- 5
- Category
- Article
- ISSN
- 1226-0061
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π SIMILAR VOLUMES
Let G = (V,E) be a finite undirected connected graph. We show that there is a common perfect elimination ordering of all powers of G which represent chordal graphs. Consequently, if G and all of its powers are chordal then all these graphs admit a common perfect elimination ordering. Such an orderin
We develop a constant time transposition "oracle" for the set of perfect elimination orderings of chordal graphs. Using this oracle, we can generate a Gray code of all perfect elimination orderings in constant amortized time using known results about antimatroids. Using clique trees, we show how the