%0 Journal Article
%T Multigraphs without large bonds are well-quasi-ordered by contraction
%A Marcin Kami¨½ski
%A Jean-Florent Raymond
%A Th¨Ĥophile Trunck
%J Mathematics
%D 2014
%I arXiv
%X We show that the class of multigraphs with at most $p$ connected components and bonds of size at most $k$ is well-quasi-ordered by edge contraction for all positive integers $p,k$. (A bond is a minimal non-empty edge cut.) We also characterize canonical antichains for this relation and show that they are fundamental.
%U http://arxiv.org/abs/1412.2407v1