How should a referee handle a disagreement between fencers regarding a call?

The appropriate approach for a referee handling a disagreement between fencers about a call is to calmly explain the decision with reasoning. This fosters a respectful environment and helps both fencers understand the rationale behind the call. Effective communication is essential in refereeing, as it not only clarifies the situation for the concerned athletes but also reinforces the authority of the referee.

In such scenarios, the referee's explanation can address any potential misconceptions about the rules or the execution of the actions that led to the call. This not only resolves the immediate conflict but also educates the fencers, promoting better understanding of the rules in future bouts.

The other options would not be suitable; ignoring the disagreement undermines the importance of fair play and could lead to further tension. Resorting to a coin toss introduces an element of randomness that does not reflect the skill or actions of the fencers and may feel unfair. Seeking the audience's opinion on the matter could lead to further confusion and distract from the match, as decisions should be based solely on the referee's interpretation and knowledge of the rules, not public opinion.