The structure of graphs with a vital linkage of order 2
A linkage of order k of a graph G is a subgraph with k components, each of which is a path. A linkage is vital if it spans all vertices, and no other linkage connects the same pairs of end vertices. We give a characterization of the graphs with a vital linkage of order 2: they are certain minors of a family of highly structured graphs.
|Keywords||graphs, minors, pathwidth, linkage|
|MSC||Structural characterization of families of graphs (msc 05C75), Graph minors (msc 05C83)|
|THEME||Logistics (theme 3)|
|Journal||Journal of Graph Theory|
Mayhew, D, Whittle, G, & van Zwam, S.H.M. (2011). The structure of graphs with a vital linkage of order 2. Journal of Graph Theory.