In the late 60s Graham and Knowlton introduced the WIP (wire identification problem) that affected electricians: match the wires in the ceiling to those in the basement while making the fewest trips. We revisit this problem and study its variants and generalizations; we provide a combinatorial characterization of the solution(s) in terms of an associated hypergraph and obtain nearly tight bounds on the minimum number of trips.
All Science Journal Classification (ASJC) codes
- Theoretical Computer Science
- Computational Theory and Mathematics