%0 Journal Article
%T A note on the existence of an alternating sign on a spanning tree of graphs
%A Dongseok Kim
%A Young Soo Kwon
%A Jaeun Lee
%J Mathematics
%D 2011
%I arXiv
%X For a spanning tree T of a connected graph G and for a labelling \phi: E(T) \rightarrow {+, -}, \phi is called an alternating sign on a spanning tree T of a graph G if for any cotree edge e \in E(G)-E(T), the unique path in T joining both end vertices of e has alternating signs. In the present note, we prove that any graph has a spanning tree T and an alternating sign on T.
%U http://arxiv.org/abs/1106.0605v1