Routing-Controlled Spanners
Elena Grigorescu, Nithish Kumar Kumar, Young-San Lin

TL;DR
This paper introduces routing-controlled and packing-covering spanners, generalizing traditional spanners to include routing and packing constraints, and provides the first approximation algorithms for these problems, unifying several network design challenges.
Contribution
It formulates new classes of spanners with routing and packing constraints and develops the first approximation algorithms for these problems, extending the scope of network design solutions.
Findings
First approximation algorithms for packing-covering spanners.
Results match state-of-the-art ratios for special cases.
Implications for hopsets and group Steiner distances.
Abstract
Designing sparse directed spanners, which are subgraphs that approximately maintain distance constraints, has attracted sustained interest in TCS, especially due to their wide applicability, as well as the difficulty to obtain tight results. However, a significant drawback of the notion of spanners is that it does not capture a natural setting where demand pairs are subject to restrictions beyond a distance constraint. In this paper we initiate the study of **routing-controlled spanners**, where in addition to distance constraints, demand pairs are also subjected to routing constraints, which may require or forbid visiting specific vertices on feasible paths. The goal is to find a minimum-cost routing solution that satisfies the multiple constraints. Moreover, we introduce an even more general notion, which we call **packing-covering spanner**, where each demand pair is subjected to a…
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Taxonomy
TopicsMobile Ad Hoc Networks · Energy Efficient Wireless Sensor Networks · Network Security and Intrusion Detection
