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Nowhere-zero 8-flows in cyclically 5-edge-connected, flow-admissible signed graphs

Authors :
DeVos, Matt
Nurse, Kathryn
Sámal, Robert
Publication Year :
2023

Abstract

In 1983, Bouchet proved that every bidirected graph with a nowhere-zero integer-flow has a nowhere-zero 216-flow, and conjectured that 216 could be replaced with 6. This paper shows that for cyclically 5-edge-connected bidirected graphs that number can be replaced with 8.<br />Comment: 14 pages

Subjects

Subjects :
Mathematics - Combinatorics

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2309.00704
Document Type :
Working Paper