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Graph Polynomials Motivated by Gene Rearrangements in Ciliates

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8493))

Abstract

Gene rearrangements within the process of gene assembly in ciliates can be represented using a 4-regular graph. Based on this observation, Burns et al. [Discrete Appl. Math., 2013] propose a graph polynomial abstracting basic features of the assembly process, like the number of segments excised. We show that this assembly polynomial is essentially (i) a single variable case of the transition polynomial by Jaeger and (ii) a special case of the bracket polynomial introduced for simple graphs by Traldi and Zulli.

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Brijder, R., Hoogeboom, H.J. (2014). Graph Polynomials Motivated by Gene Rearrangements in Ciliates. In: Beckmann, A., Csuhaj-Varjú, E., Meer, K. (eds) Language, Life, Limits. CiE 2014. Lecture Notes in Computer Science, vol 8493. Springer, Cham. https://doi.org/10.1007/978-3-319-08019-2_7

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  • DOI: https://doi.org/10.1007/978-3-319-08019-2_7

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-08018-5

  • Online ISBN: 978-3-319-08019-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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