Mathematics – Combinatorics
Scientific paper
2010-06-29
Mathematics
Combinatorics
6 pages, 4 figures
Scientific paper
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.
Mayhew Dillon
van Zwam Stefan H. M.
Whittle Geoff
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