I recently posted this question Bellman-Ford for Matching Problems? on MO and got an answer stating that the occurence of negative odd cycles would be inevitable.
Upon reading that claim, I had an idea of how to guarantee, that odd negative cycles do not occur; that idea has been integrated into an edit of the question.
Meanwhile, I have checked that idea for flaws several times, but could not find one.
However, there was no feedback on that idea, despite my impression, that it could be interesting from an algorithmic point of view.
Now my question is, how to proceed (if at all)? Should I put that idea into an answer along with proof-ideas to raise the level of attention (make it CW) or would you advise me to do something else (e.g. wait till an expert in the field finds the time to look at it)?