Abstract
This paper is devoted to a detailed study of nowhere-zero flows on signed Eulerian graphs. We generalize the well-known fact about the existence of nowhere-zero 2-flows in Eulerian graphs by proving that every signed Eulerian graph that admits an integer nowhere-zero flow has a nowhere-zero 4-flow. We also characterize signed Eulerian graphs with flow number 2, 3, and 4, as well as those that do not have an integer nowhere-zero flow. Finally, we discuss the existence of nowhere-zero $A$-flows on signed Eulerian graphs for an arbitrary Abelian group $A$.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
