## Abstract A graph __G__ of order at least 2__n__+2 is said to be __n__‐extendable if __G__ has a perfect matching and every set of __n__ independent edges extends to a perfect matching in __G__. We prove that every pair of nonadjacent vertices __x__ and __y__ in a connected __n__‐extendable graph
A note on n-extendable graphs
✍ Scribed by Qinglin Yu
- Publisher
- John Wiley and Sons
- Year
- 1992
- Tongue
- English
- Weight
- 249 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0364-9024
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✦ Synopsis
Abstract
A graph G having a perfect matching is called n‐extendable if every matching of size n of G can be extended to a perfect matching. In this note, we show that if G is an n‐extendable nonbipartite graph, then G + e is (n ‐ 1)‐extendable for any edge e ϵ E(G). © 1992 John Wiley & Sons, Inc.
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