Title
A note on similar edges and edge-unique line graphs
Abstract
If G is a connected graph having no vertices of degree 2 and L(G) is its line graph, two results are proven: if there exist distinct edges e and f with L(G) − e ≅ L(G) − f then there is an automorphism of L(G) mapping e to f; if G − u ¦ G − v for any distinct vertices u, v, then L(G) − e ¦ L(G) − f for any distinct edges e, f.
Year
DOI
Venue
1985
10.1016/0095-8956(85)90090-5
Journal of Combinatorial Theory, Series B
Keywords
Field
DocType
line graph
Discrete mathematics,Combinatorics,Line graph,Vertex (geometry),Bound graph,Automorphism,Connectivity,Mathematics
Journal
Volume
Issue
ISSN
38
1
0095-8956
Citations 
PageRank 
References 
0
0.34
1
Authors
3
Name
Order
Citations
PageRank
David W. Bange162.49
Anthony E. Barkauskas262.49
Peter J. Slater3593132.02