The Charney–Davis Conjecture for Certain Subdivisions of Spheres
✍ Scribed by Andrew Frohmader
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 286 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0179-5376
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📜 SIMILAR VOLUMES
## Abstract Let __G__ be a simple graph of order __n__ with Laplacian spectrum {λ~__n__~, λ~__n__−1~, …, λ~1~} where 0=λ~__n__~≤λ~__n__−1~≤⋅≤λ~1~. If there exists a graph whose Laplacian spectrum is __S__={0, 1, …, __n__−1}, then we say that __S__ is Laplacian realizable. In 6, Fallat et al. posed
An explicit expression is obtained for the generating series for the number of ramified coverings of the sphere by the torus, with elementary branch points and prescribed ramification type over infinity. This proves a conjecture of Goulden, Jackson, and Vainshtein for the explicit number of such cov