1. The problem asks whether in an Euler path every vertex can only be visited once with no repeats. 2. An Euler path is a path in a graph that visits every edge exactly once. 3. Important rule: In an Euler path, vertices can be visited multiple times if necessary, but edges cannot be repeated. 4. Therefore, the statement "every vertex can only be visited once with no repeats" is false because vertices may be revisited to traverse all edges. Final answer: False