Abstract
One goal of this chapter is to introduce the rank polynomial of a signed graph, which we will use in the next chapter to construct the Jones polynomial of a knot. A second goal is to place this polynomial in a larger context. The rank polynomial is a classical object in graph theory, with a surprising range of ramifications. We develop its basic theory and provide an extensive description of its applications.
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© 2001 Springer Science+Business Media New York
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Godsil, C., Royle, G. (2001). The Rank Polynomial. In: Algebraic Graph Theory. Graduate Texts in Mathematics, vol 207. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0163-9_15
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DOI: https://doi.org/10.1007/978-1-4613-0163-9_15
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-95220-8
Online ISBN: 978-1-4613-0163-9
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