کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4649600 1342461 2009 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The multivariate signed Bollobás–Riordan polynomial
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
The multivariate signed Bollobás–Riordan polynomial
چکیده انگلیسی

We generalise the signed Bollobás–Riordan polynomial of S. Chmutov and I. Pak [S. Chmutov, I. Pak, The Kauffman bracket of virtual links and the Bollobás–Riordan polynomial, Mos. Math. J. 7(3) (2007), 409–418] to a multivariate signed polynomial ZZ and study its properties. We prove the invariance of ZZ under the recently defined partial duality of S. Chmutov [S. Chmutov, Generalized duality for graphs on surfaces and the signed Bollobás–Riordan polynomial, J. Combin. Theory, Ser. B 99(3) (2009), 617–638. arXiv:0711.3490, http://dx.doi.org/10.1016/j.jctb.2008.09.007] and show that the duality transformation of the multivariate Tutte polynomial is a direct consequence of it.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 309, Issue 20, 28 October 2009, Pages 5968–5981
نویسندگان
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