The zero-sum 3-flow conjecture for Steiner triple systems
The zero-sum 3-flow conjecture for Steiner triple systems
A Steiner triple system is a - design. A zero-sum -flow of a design is a map
such that the sum of the values over all blocks incident with each point is zero. The zero-sum 3-flow conjecture. Every with admits a zero-sum -flow. This conjecture concerns the existence of bounded integer flows on the incidence structures of Steiner triple systems; the source gives no evidence of resolution.
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Sources & referencesView supporting material
Primary source
Saieed Akbari, Hamid Reza Maimani, Leila Parsaei Majd and Ian M. Wanless, “Zero-sum flows for Steiner systems”, arXiv:2101.00867 (2021).
Solutions 0
Sign in to submit a solution.
No solutions have been posted yet.