@article {
author = {Ghareghani, Narges},
title = {A new proof of validity of Bouchet's conjecture on Eulerian bidirected graphs},
journal = {Transactions on Combinatorics},
volume = {6},
number = {2},
pages = {31-35},
year = {2017},
publisher = {University of Isfahan},
issn = {2251-8657},
eissn = {2251-8665},
doi = {10.22108/toc.2017.21362},
abstract = {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.},
keywords = {Nowhere zero flow in bidirected graphs,zero-sum flow,Eulerian graphs},
url = {https://toc.ui.ac.ir/article_21362.html},
eprint = {https://toc.ui.ac.ir/article_21362_d500cc0139aaa06f9bbb49637cdb9ec2.pdf}
}