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On Coverage in Multi-Interface Networks with Bounded Pathwidth

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Advanced Information Networking and Applications (AINA 2024)

Part of the book series: Lecture Notes on Data Engineering and Communications Technologies ((LNDECT,volume 204))

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Abstract

In dealing with diverse devices equipped with multiple communication interfaces, a significant challenge arises in selectively activating a subset of interfaces on each device to establish effective communication connections. The goal is to ensure that devices at the endpoints of any connection share at least one active interface, forming the foundation of an extensively studied model known in the literature as “Multi-Interface” networks. We explore the latest variation wherein each interface is linked to a cost and a profit, with two as a limit to the possible active interfaces per device. Recognizing the NP-hard nature of this problem, we narrow our focus to graphs with bounded pathwidth, where the challenge persists. Subsequently, by exploiting dynamic programming techniques, we provide two pseudo-polynomial time-optimal algorithms.

This work is partially supported by the project ‘Soluzioni innovative per il problema della copertura nelle multi-interfacce e relative varianti’, UNINT, and by the Italian National Group for Scientific Computation (GNCS-INdAM).

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Notes

  1. 1.

    E.g., \(\mu \) might be the sum of the profits over all the available interfaces, both on the vertices and the edges.

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Author information

Authors and Affiliations

  1. Dipartimento di Scienze Umanistiche e Sociali Internazionali, Università degli Studi Internazionali di Roma, Roma, Italy

    Alessandro Aloisio

  2. Dipartimento di Matematica e Informatica, Università degli Studi di Perugia, Perugia, Italy

    Alfredo Navarra

Authors
  1. Alessandro Aloisio
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  2. Alfredo Navarra
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Correspondence to Alessandro Aloisio .

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Editors and Affiliations

  1. Department of Information and Communication Engineering, Fukuoka Institute of Technology, Fukuoka, Japan

    Leonard Barolli

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Aloisio, A., Navarra, A. (2024). On Coverage in Multi-Interface Networks with Bounded Pathwidth. In: Barolli, L. (eds) Advanced Information Networking and Applications. AINA 2024. Lecture Notes on Data Engineering and Communications Technologies, vol 204. Springer, Cham. https://doi.org/10.1007/978-3-031-57942-4_11

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