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Incidence Graph Models for the Analysis of Active Illegal Immigration Routes and Human Loss

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Mathematics Applied to Engineering, Modelling, and Social Issues

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 200))

Abstract

Connectivity in fuzzy incidence graphs (FIG) is studied in this article. Different connectivity aspects of fuzzy incidence graphs such as bonding pair, doubly bonding pair and incidence cut of pairs are discussed. Incidence connectivity and incidence connectivity of pairs are introduced and results similar to Whitney’s Theorem are presented. The concept of t-connected fuzzy incidence graphs are also studied and some characterizations are obtained. An application related with illegal migration is presented. The most vulnerable routes in the Mexican-US border are focussed on and corresponding risks are evaluated using t-conorms.

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Author information

Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology Calicut, Calicut, 673601, India

    Sunil Mathew

  2. Department of Mathematics, Center for Mathematics of Uncertainty, Creighton University, Omaha, NE, 68178, USA

    John N. Mordeson

Authors
  1. Sunil Mathew
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  2. John N. Mordeson
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Corresponding author

Correspondence to Sunil Mathew .

Editor information

Editors and Affiliations

  1. Department of Mathematics, University College London, London, UK

    Frank T. Smith

  2. Department of Mathematics, Gauhati University, Guwahati, Assam, India

    Hemen Dutta

  3. Department of Mathematics, Center for Mathematics of Uncertainty, Creighton University, Omaha, NE, USA

    John N. Mordeson

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Mathew, S., Mordeson, J.N. (2019). Incidence Graph Models for the Analysis of Active Illegal Immigration Routes and Human Loss. In: Smith, F.T., Dutta, H., Mordeson, J.N. (eds) Mathematics Applied to Engineering, Modelling, and Social Issues. Studies in Systems, Decision and Control, vol 200. Springer, Cham. https://doi.org/10.1007/978-3-030-12232-4_22

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  • DOI: https://doi.org/10.1007/978-3-030-12232-4_22

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-12231-7

  • Online ISBN: 978-3-030-12232-4

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