![](/files/happy5.png)
flow conjectures
Circular flow numbers of $r$-graphs ★★
Author(s): Steffen
A nowhere-zero -flow
on
is an orientation
of
together with a function
from the edge set of
into the real numbers such that
, for all
, and
.
A -regular graph
is a
-graph if
for every
with
odd.
Conjecture Let
be an integer. If
is a
-graph, then
.
![$ t > 1 $](/files/tex/13690a4a2acccbf67e32711965c98ee5b60756eb.png)
![$ G $](/files/tex/b8e7ad0330f925492bf468b5c379baec88cf1b3d.png)
![$ (2t+1) $](/files/tex/da4d60d92c98256f762bb69398437f3914ef0fa6.png)
![$ F_c(G) \leq 2 + \frac{2}{t} $](/files/tex/35f6f6ba01e2a1f8f2c867888c086731d735cc74.png)
Keywords: flow conjectures; nowhere-zero flows
![Syndicate content Syndicate content](/misc/feed.png)