Whitney's theorem for infinite graphs
type: Item
instance of: scholarly article
title: Whitney's theorem for infinite graphs
zbMATH Open document ID: 0576.05056
DOI: 10.1016/0012-365X(85)90196-7
author: A. R. Bednarek
published in: Discrete Mathematics
publication date: 1985-01-01T00:00:00Z
review text: The classical Whitney's theorem states that any edge-isomorphism of finite connected graphs on \(\geq 5\) vertices is induced by a vertex- isomorphism. The author proves the extension of this theorem to infinite graphs using a theorem of Rado.
Mathematics Subject Classification ID: 05C99
zbMATH DE Number: 3920530
zbMATH Keywords: graph isomorphism
zbMATH Keywords: Whitney's theorem
zbMATH Keywords: edge-isomorphism
zbMATH Keywords: vertex- isomorphism
zbMATH Keywords: infinite graphs
MaRDI profile type: Publication
cites work: Transversal theory. An account of some aspects of combinatorial mathematics
cites work: Q3291034
cites work: Axiomatic Treatment of Rank in Infinite Sets
description: scientific article; zbMATH DE number 3920530