Title
Embedding graphs as isometric medians
Abstract
We show that every connected graph can be isometrically (i.e., as a distance preserving subgraph) embedded in some connected graph as its median. As an auxiliary result we also show that every connected graph is an isometric subgraph of some Cayley graph.
Year
DOI
Venue
2008
10.1016/j.dam.2007.10.018
Discrete Applied Mathematics
Keywords
Field
DocType
Distance,Median,Isometric,Embedding
Block graph,Discrete mathematics,Combinatorics,Vertex-transitive graph,Line graph,Graph factorization,Distance-hereditary graph,Factor-critical graph,Universal graph,Mathematics,Degeneracy (graph theory)
Journal
Volume
Issue
ISSN
156
12
0166-218X
Citations 
PageRank 
References 
3
0.48
4
Authors
2
Name
Order
Citations
PageRank
P. Dankelmann19111.41
G. Sabidussi282.32