%0 Journal Article
%T A new proof of validity of Bouchet's conjecture on Eulerian bidirected graphs
%J Transactions on Combinatorics
%I University of Isfahan
%Z 2251-8657
%A Ghareghani, Narges
%D 2017
%\ 06/01/2017
%V 6
%N 2
%P 31-35
%! A new proof of validity of Bouchet's conjecture on Eulerian bidirected graphs
%K Nowhere zero flow in bidirected graphs
%K zero-sum flow
%K Eulerian graphs
%R 10.22108/toc.2017.21362
%X Recently, E. M'{a}v{c}ajov'{a} and M. v{S}koviera proved that every bidirected Eulerian graph which admits a nowhere zero flow, admits a nowhere zero $4$-flow. This result shows the validity of Bouchet's nowhere zero conjecture for Eulerian bidirected graphs. In this paper we prove the same theorem in a different terminology and with a short and simple proof. More precisely, we prove that every Eulerian undirected graph which admits a zero-sum flow, admits a zero-sum $4$-flow. As a conclusion we obtain a shorter proof for the previously mentioned result of M'{a}v{c}ajov'{a} and v{S}koviera.
%U https://toc.ui.ac.ir/article_21362_d500cc0139aaa06f9bbb49637cdb9ec2.pdf