In this paper, we construct a cycle permutation graph as a covering graph over the dumbbell graph, and give a new characterization of when two given cycle permutation graphs are isomorphic by a positive or a negative natural isomorphism. Also, we count the isomorphism classes of cycle permutation gr
On testing isomorphism of permutation graphs
β Scribed by Charles J. Colbourn
- Publisher
- John Wiley and Sons
- Year
- 1981
- Tongue
- English
- Weight
- 530 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0028-3045
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
A polynomial time algorithm for testing isomorphism of permutation graphs (comparability graphs of 2βdimensional partial orders) is described. It operates by performing two types of simplifying transformations on the graph; the contraction of duplicate vertices and the contraction of uniquely orientable induced subgraphs.
π SIMILAR VOLUMES
## Abstract This paper considers conditions ensuring that cycleβisomorphic graphs are isomorphic. Graphs of connectivity β©Ύ 2 that have no loops were studied in [2] and [4]. Here we characterize all graphs __G__ of connectivity 1 such that every graph that is cycleβisomorphic to __G__ is also isomor
Let G be a connected graph with n vertices. Let a be a permutation in S n . The a-generalized graph over G, denoted by P a (G), consists of two disjoint, identical copies of G along with edges Β£a(Β£). In this paper, we investigated the relation between diameter of P a (G) and diameter of G for any pe