Characteristic polynomials of some weighted graph bundles and its application to links.
Sohn, Moo Young, Lee, Jaeun (1994)
International Journal of Mathematics and Mathematical Sciences
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Sohn, Moo Young, Lee, Jaeun (1994)
International Journal of Mathematics and Mathematical Sciences
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Fukuyama, Junichiro (2006)
Journal of Graph Algorithms and Applications
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Farrell, E.J. (1989)
International Journal of Mathematics and Mathematical Sciences
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F. Y. Wu, C. King, W. T. Lu (1999)
Annales de l'institut Fourier
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The Tutte polynomial is a generalization of the chromatic polynomial of graph colorings. Here we present an extension called the rooted Tutte polynomial, which is defined on a graph where one or more vertices are colored with prescribed colors. We establish a number of results pertaining to the rooted Tutte polynomial, including a duality relation in the case that all roots reside around a single face of a planar graph.
Thatte, Bhalchandra D. (2005)
The Electronic Journal of Combinatorics [electronic only]
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Farrell, E.J. (1981)
International Journal of Mathematics and Mathematical Sciences
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Galluccio, Anna, Loebl, Martin (1999)
The Electronic Journal of Combinatorics [electronic only]
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Ivan Gutman (1977)
Publications de l'Institut Mathématique
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Courcelle, Bruno (2008)
The Electronic Journal of Combinatorics [electronic only]
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He, G., Liu, J., Zhao, C. (2000)
Journal of Graph Algorithms and Applications
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Berthomé, Pascal, Cordovil, Raul, Forge, David, Ventos, Véronique, Zaslavsky, Thomas (2009)
The Electronic Journal of Combinatorics [electronic only]
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