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The experimental results show that the proposed simple weighting scheme helps retrieve a significant proportion of relevant data after traversing only a small portion of a peer-to-peer hierarchical peer network in a depth-first manner. A real, large, highly heterogeneous test collection searched by very short, ambiguous queries was used for supporting the results. The efficiency and the effectiveness would suggest the implementation, for instance, in audio-video information retrieval systems, digital libraries or personal archives.