Successive shortest paths in complete graphs with random edge weights

Consider a complete graph Kn with edge weights drawn independently from a uniform distribution U(0, 1). The weight of the shortest (minimum-weight) path P1 between two given vertices is known to be ln n/n, asymptotically. Define a second-shortest path P2 to be the shortest path edge-disjoint from P1...

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Bibliographic Details
Main Authors: Gerke, S, Mezei, B, Sorkin, GB
Format: Journal article
Language:English
Published: Wiley 2020