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Articles

The inner site-perimeter of compositions

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Pages 55-66 | Received 20 Sep 2018, Published online: 15 Jan 2019

References

  • A. Bacher, Average site perimeter of directed animals on the two-dimensional lattices, Discrete Mathematics 312, (2012) 1038–1058, arXiv:0906.4536v3 [math.CO]. doi: 10.1016/j.disc.2011.11.008
  • A. Blecher, C. Brennan and A. Knopfmacher, Combinatorial parameters in bargraphs, Quaestiones Mathematicae 39(5) (2016), 619–635. doi: 10.2989/16073606.2015.1121932
  • A. Blecher, C. Brennan and A. Knopfmacher, Inner site-perimeter of permutations, submitted.
  • A. Blecher, C. Brennan, A. Knopfmacher and T. Mansour, The perimeter of words, Discrete Mathematics 340(10) (2017), 2456–2465. doi: 10.1016/j.disc.2017.06.003
  • A. Blecher, C. Brennan, A. Knopfmacher and T. Mansour, The site-perimeter of words, Transactions on Combinatorics 6(2) (2017), 37–48.
  • M. Bousquet-Mélou and R. Brak, Exactly solved models of polyominoes and polygons, Chapter 3 of Polygons, Polyominoes and Polycubes, Lecture notes in physics, Vol. 775, pp. 43–78, Springer, Berlin/Heidelberg, 2009.
  • M. Bousquet-Mélou and A. Rechnitzer, The site-perimeter of bargraphs, Advances in Applied Mathematics 31 (2003), 86–112. doi: 10.1016/S0196-8858(02)00553-5
  • M. Delest, D. Gouyou-Beauchamps and B. Vauquelin, Enumeration of parallelogram polyominoes with given bond and site perimeter, Graphs and Combinatorics 3 (1987), 325–339. doi: 10.1007/BF01788555
  • P. Duchon, q-grammars and wall polyominoes, Annals of Combinatorics 3 (1999), 311–321. doi: 10.1007/BF01608790
  • P. Flajolet and R. Sedgewick, Analytic Combinatorics, Cambridge University Press, New York, 2009.
  • A. Geraschenko, An investigation of skyline polynomials, http://people.brandeis.edu/gessel/47a/geraschenko.pdf.
  • S. Heubach and T. Mansour, Combinatorics of Compositions and Words, Chapman & Hall, CRC, Boca Raton, 2009.
  • E. J. Janse van Rensburg and P. Rechnitzer, Exchange symmetries in Motzkin path and bargraph models of copolymer adsorption, Electronic Journal of Combinatorics 9 (2002), R20.
  • J. Osborn and T. Prellberg, Forcing adsorption of a tethered polymer by pulling, Journal of Statistical Mechanics: Theory and experiment (2010), P09018.
  • T. Prellberg and R. Brak, Critical exponents from nonlinear functional equations for partially directed cluster models, Journal of Statistical Physics 78 (1995), 701–730. doi: 10.1007/BF02183685

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