The Penrose polynomial of graphs and matroids (Q2741172)
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scientific article; zbMATH DE number 1642402
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Penrose polynomial of graphs and matroids |
scientific article; zbMATH DE number 1642402 |
Statements
10 December 2001
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4-colour theorem
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binary matroid
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Penrose polynomial
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Hopf algebra
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chromatic polynomial
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Petersen graph
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Tutte polynomial
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knot invariants
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interlace graph
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isotropic system
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The Penrose polynomial of graphs and matroids (English)
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In this paper the connections of the Penrose polynomial to some famous conjectures in graph theory, to binary spaces, Hopf algebras and polynomial invariants in knot theory are surveyed. The headings of the sections are: The Penrose polynomial; Geometry of the Penrose polynomial; Algebra of the Penrose polynomial; The 4-colour theorem revisited. The list of references includes 50 titles.NEWLINENEWLINEFor the entire collection see [Zbl 0964.00035].
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