Elementary proof of the reality of the zeros of beta-polynomials of complete graphs
Xueliang Li, Ivan Gutman (2000)
Kragujevac Journal of Mathematics
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Displaying similar documents to “The -polynomials of complete graphs are real.”
Elementary proof of the reality of the zeros of beta-polynomials of complete graphs
Zeros of the Jones polynomial are dense in the complex plane.
Jin, Xian'an, Zhang, Fuji, Dong, Fengming, Tay, Eng Guan (2010)
The Electronic Journal of Combinatorics [electronic only]
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A multivariate interlace polynomial and its computation for graphs of bounded clique-width.
Courcelle, Bruno (2008)
The Electronic Journal of Combinatorics [electronic only]
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On some graphic polynomials whose zeros are real.
Gutman, Ivan (1985)
Publications de l'Institut Mathématique. Nouvelle Série
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Contribution to the problem of the spectra of compound graphs.
I. Gutman (1978)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Homomorphism and sigma polynomials.
Gillman, Richard Alan (1995)
International Journal of Mathematics and Mathematical Sciences
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Broken-cycle-free subgraphs and the log-concavity conjecture for chromatic polynomials.
Lundow, P.H., Markström, K. (2006)
Experimental Mathematics
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Certificates of factorisation for chromatic polynomials.
Morgan, Kerri, Farr, Graham (2009)
The Electronic Journal of Combinatorics [electronic only]
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Single polynomials that correspond to pairs of cyclotomic polynomials with interlacing zeros
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,...
A study about the Tutte polynomials of benzenoid chains
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.
On a class of polynomials associated with the cliques in a graph and its applications.
Farrell, E.J. (1989)
International Journal of Mathematics and Mathematical Sciences
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The characteristic polynomial of a graph is reconstructible from the characteristic polynomials of its vertex-deleted subgraphs and their complements.
Hagos, Elias M. (2000)
The Electronic Journal of Combinatorics [electronic only]
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