Graphs that are critical with respect to matching extension and diameter

Let G be a simple connected graph on 2n vertices with a perfect matching. For 1 ≤ k ≤ n - 1, G is said to be k-extendable if for every matching M of size k in G there is a perfect matching in G containing all the edges of M. A k-extendable graph G is said to be k-critical (k-minimal) if G+uv (G-uv)...

Full description

Bibliographic Details
Main Author: Ananchuen, Nawarat
Format: Thesis
Language:English
Published: Curtin University 1994
Subjects:
Online Access:http://hdl.handle.net/20.500.11937/204