On permutation labeling

We determine all permutation graphs of order ⩽9. We prove that every bipartite graph of order ⩽50 is a permutation graph. We convert the conjecture stating that “every tree is a permutation graph” to be “every bipartite graph is a permutation graph”.

Bibliographic Details
Main Authors: M.A. Seoud, M.A. Salim
Format: Article
Language:English
Published: SpringerOpen 2011-10-01
Series:Journal of the Egyptian Mathematical Society
Online Access:http://www.sciencedirect.com/science/article/pii/S1110256X11000228