Determining paths of a fixed length 

Time and date: 28 May 2025 at 2:00 pm | Location: Abacws 1.04 | Speaker: Daniel Hambly

This talk addresses the NP-hard problem of finding fixed-length s-t paths in arc-weighted graphs - specifically, identifying a path from a source node s to a target node t whose length is as close to a given value k. Unlike many existing approaches that focus on paths with exactly k nodes, our work considers the length of the path as the total of the arc weights. To tackle this problem, we introduce two heuristic algorithms: a local search approach that iteratively produces candidate paths, and a backtracking-based method that leverages heuristics to guide the selection of the next node during exploration.

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