Computer Science > Data Structures and Algorithms
[Submitted on 20 Oct 2025
]
Title: A Generalization of Distance Domination
Title: 距离支配的一个推广
Abstract: Expanding on the graph theoretic ideas of k-component order connectivity and distance-l domination, we present a quadratic-complexity algorithm that finds a tree's minimum failure-set cardinality, i.e., the minimum cardinality any subset of the tree's vertices must have so that all clusters of vertices further away than some l do not exceed a cardinality threshold. Applications of solutions to the expanded problems include choosing service center locations so that no large neighborhoods are excluded from service, while reducing the redundancy inherent in distance domination problems.
Submission history
From: Efraim Dov Neimand [view email][v1] Mon, 20 Oct 2025 19:58:24 UTC (325 KB)
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