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In this work, we introduce the notion of beer paths in temporal graphs, where edges are time-dependent and certain vertices (beer vertices) are active only at specific time instances. We formally define the problems of computing earliest-arrival, latest-departure, fastest, and shortest temporal beer paths and propose efficient algorithms for these problems under both edge stream and adjacency list representations. The time complexity of each of our algorithms is aligned with that of corresponding temporal pathfinding algorithms, thus preserving efficiency.
Additionally, we present preprocessing techniques that enable efficient query answering under dynamic conditions, for example new openings or closings of shops. We achieve this through appropriate precomputation of selected paths or by transforming a temporal graph into an equivalent static graph.
From: Sotiris Kanellopoulos [view email]
[v1]
Fri, 11 Jul 2025 15:36:16 UTC (254 KB)
[v2]
Thu, 30 Oct 2025 21:31:26 UTC (393 KB)
[v3]
Mon, 6 Apr 2026 13:44:49 UTC (225 KB)
[v4]
Sun, 28 Jun 2026 14:21:45 UTC (226 KB)
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