𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On testing isomorphism of permutation graphs

✍ 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.

✦ Synopsis


Abstract

A polynomial time algorithm for testing isomorphism of permutation graphs (comparability graphs of 2‐dimensional 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.


πŸ“œ SIMILAR VOLUMES


Isomorphism classes of cycle permutation
✍ Jin Ho Kwak; Jaeun Lee πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science 🌐 English βš– 769 KB

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 the cycle-isomorphism of graphs
✍ Xingxing Yu πŸ“‚ Article πŸ“… 1991 πŸ› John Wiley and Sons 🌐 English βš– 336 KB

## Abstract This paper considers conditions ensuring that cycle‐isomorphic 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 cycle‐isomorphic to __G__ is also isomor

On diameter of permutation graphs
✍ Gu, Weizhen πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 109 KB πŸ‘ 2 views

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

On 4-isomorphisms of graphs
✍ G Lassmann πŸ“‚ Article πŸ“… 1984 πŸ› Elsevier Science 🌐 English βš– 126 KB