The -polynomials of complete graphs are real.
Li, Xueliang, Gutman, Ivan, Milovanović, V.Gradimir (2000)
Publications de l'Institut Mathématique. Nouvelle Série
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Li, Xueliang, Gutman, Ivan, Milovanović, V.Gradimir (2000)
Publications de l'Institut Mathématique. Nouvelle Série
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Gutman, Ivan (1985)
Publications de l'Institut Mathématique. Nouvelle Série
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K. Dewan, Sunil Hans (2009)
Annales UMCS, Mathematica
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If P(z) is a polynomial of degree n, having all its zeros in the disk [...] then it was shown by Govil [Proc. Amer. Math. Soc. 41, no. 2 (1973), 543-546] that [...] In this paper, we obtain generalization as well as improvement of above inequality for the polynomial of the type [...] Also we generalize a result due to Dewan and Mir [Southeast Asian Bull. Math. 31 (2007), 691-695] in this direction.
Brindza, Béla (2001)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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K. Dewan, Sunil Hans (2008)
Annales UMCS, Mathematica
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If p(z) be a polynomial of degree n, which does not vanish in |z| < k, k < 1, then it was conjectured by Aziz [Bull. Austral. Math. Soc. 35 (1987), 245-256] that [...] In this paper, we consider the case k < r < 1 and present a generalization as well as improvement of the above inequality.
James McKee, Chris Smyth (2013)
Open Mathematics
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We give a complete classification of all pairs of cyclotomic polynomials whose zeros interlace on the unit circle, making explicit a result essentially contained in work of Beukers and Heckman. We show that each such pair corresponds to a single polynomial from a certain special class of integer polynomials, the 2-reciprocal discbionic polynomials. We also show that each such pair also corresponds (in four different ways) to a single Pisot polynomial from a certain restricted class,...
Radoš Bakić (2013)
Publications de l'Institut Mathématique
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Prešić, Slaviša B. (1985)
Publications de l'Institut Mathématique. Nouvelle Série
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Jin, Xian&amp;amp;#039;an, Zhang, Fuji, Dong, Fengming, Tay, Eng Guan (2010)
The Electronic Journal of Combinatorics [electronic only]
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P. E. Blanksby (1985)
Banach Center Publications
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Abdulgani Sahin (2017)
Topological Algebra and its Applications
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The Tutte polynomials for signed graphs were introduced by Kauffman. In 2012, Fath-Tabar, Gholam-Rezaeı and Ashrafı presented a formula for computing Tutte polynomial of a benzenoid chain. From this point on, we have also calculated the Tutte polynomials of signed graphs of benzenoid chains in this study.
Seoung Cheon Ryoo (2016)
Open Mathematics
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In this paper, we study differential equations arising from the generating functions of the generalized Bell polynomials.We give explicit identities for the generalized Bell polynomials. Finally, we investigate the zeros of the generalized Bell polynomials by using numerical simulations.
Bergeron, Nantel, Billey, Sara (1993)
Experimental Mathematics
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