This paper deals with the isomorphism problem of directed path graphs and rooted directed path graphs. Both graph classes belong to the class of chordal graphs, and for both classes the relative complexity of the isomorphism problem is yet unknown. We prove that deciding isomorphism of directed path
On the greedoid polynomial for rooted graphs and rooted digraphs
β Scribed by Elizabeth W. McMahon
- Publisher
- John Wiley and Sons
- Year
- 1993
- Tongue
- English
- Weight
- 499 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
We examine some properties of the 2βvariable greedoid polynomial f(GΒ·,t,z) when G is the branching greedoid associated to a rooted graph or a rooted directed graph. For rooted digraphs, we show a factoring property of f(GΒ·,t,z) determines whether or not the rooted digraph has a directed cycle. Β© 1993 John Wiley & Sons, Inc.
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