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The Shortest Walk to Watch TV

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The Power of Algorithms

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Abstract

The problem of finding the shortest path between two points underlies the concept of distance. In the common understanding, the physical distance between two points is always regarded as a non-negative quantity. However, from a mathematical point of view, the shortest-path problem can be defined and solved even when distances between points are negative. In this chapter we show that this model has an engineering application in the problem of synchronizing several electromagnetic signals received by a set of antennas. Solving this problem is fundamental in the design and implementation of digital television networks.

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References

  1. AGCOM: Piano nazionale di assegnazione delle frequenze per la radiodiffusione televisiva. Autorità per le Garanzie nelle Comunicazioni (1998). http://www2.agcom.it/provv/pnf/target01.htm

  2. AGCOM: Il libro bianco sulla televisione digitale terrestre. Autorità per le Garanzie nelle Comunicazioni (2000). http://www2.agcom.it/provv/libro_b_00/librobianco00.htm

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Author information

Authors and Affiliations

  1. Dipartimento di Informatica, Università dell’Aquila, via Vetoio, 67010, Coppito (AQ), Italy

    Fabrizio Rossi & Stefano Smriglio

  2. Dipartimento di Ingegneria Informatica, Automatica e Gestionale, Sapienza Università di Roma, via Ariosto 25, 00185, Roma, Italy

    Antonio Sassano

Authors
  1. Fabrizio Rossi
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  2. Antonio Sassano
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  3. Stefano Smriglio
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Corresponding author

Correspondence to Fabrizio Rossi .

Editor information

Editors and Affiliations

  1. Università di Roma "La Sapienza" Dip. di Informatica e Sistemistica, Rome, Italy

    Giorgio Ausiello

  2. Università di Roma "La Sapienza" Dipartimento di Informatica, Rome, Italy

    Rossella Petreschi

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Rossi, F., Sassano, A., Smriglio, S. (2013). The Shortest Walk to Watch TV. In: Ausiello, G., Petreschi, R. (eds) The Power of Algorithms. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39652-6_8

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  • DOI: https://doi.org/10.1007/978-3-642-39652-6_8

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-39651-9

  • Online ISBN: 978-3-642-39652-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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