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- Title
The Yamada polynomial of spatial graphs obtained by edge replacements.
- Authors
Li, Miaowang; Lei, Fengchun; Li, Fengling; Vesnin, Andrei
- Abstract
We present formulae for computing the Yamada polynomial of spatial graphs obtained by replacing edges of plane graphs, such as cycle-graphs, theta-graphs, and bouquet-graphs, by spatial parts. As a corollary, it is shown that zeros of Yamada polynomials of some series of spatial graphs are dense in a certain region in the complex plane, described by a system of inequalities. Also, the relation between Yamada polynomial of graphs and the chain polynomial of edge-labeled graphs is obtained.
- Subjects
POLYNOMIALS; CHARTS, diagrams, etc.; EDGES (Geometry); BOUQUETS; VARIATIONAL inequalities (Mathematics)
- Publication
Journal of Knot Theory & Its Ramifications, 2018, Vol 27, Issue 9, pN.PAG
- ISSN
0218-2165
- Publication type
Article
- DOI
10.1142/S021821651842004X