✦ LIBER ✦

The Number of Ramified Coverings of the Sphere by the Torus and Surfaces of Higher Genera

✍ Scribed by I.P. Goulden; D.M. Jackson; A. Vainshtein

Publisher: Springer
Year: 2000
Tongue: English
Weight: 176 KB
Volume: 4
Category: Article
ISSN: 0218-0006
DOI: 10.1007/pl00001274

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

The Number of Ramified Coverings of the

The Number of Ramified Coverings of the Sphere by the Double Torus, and a General Form for Higher Genera

✍ I.P. Goulden; D.M. Jackson 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 171 KB

An explicit expression is obtained for the generating series for the number of ramified coverings of the sphere by the double torus, with elementary branch points and prescribed ramification type over infinity. Thus we are able to determine various linear recurrence equations for the numbers of thes

A Proof of a Conjecture for the Number o

A Proof of a Conjecture for the Number of Ramified Coverings of the Sphere by the Torus

✍ I.P. Goulden; D.M. Jackson 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 136 KB

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

The Number of Ramified Covering of a Rie

The Number of Ramified Covering of a Riemann Surface by Riemann Surface

✍ An-Min Li; Guosong Zhao; Quan Zheng 📂 Article 📅 2000 🏛 Springer 🌐 English ⚖ 116 KB

Graphs on the Torus and Geometry of Numb

Graphs on the Torus and Geometry of Numbers

✍ A. Schrijver 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 424 KB

We show that if \(G\) is a graph embedded on the torus \(S\) and each nonnullhomotopic closed curve on \(S\) intersects \(G\) at least \(r\) times, then \(G\) contains at least \(\left\lfloor\frac{3}{4} r\right\rfloor\) pairwise disjoint nonnullhomotopic circuits. The factor \(\frac{3}{4}\) is best

The statistics of the volumes covered by

The statistics of the volumes covered by systems of penetrating spheres

✍ T.W Melnyk; J.S Rowlinson 📂 Article 📅 1971 🏛 Elsevier Science 🌐 English ⚖ 390 KB

On the number of irreducible coverings b

On the number of irreducible coverings by edges of complete bipartite graphs

✍ Ioan Tomescu 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 102 KB

In this paper it is proved that the exponential generating function of the numbers, denoted by N(p, q), of irreducible coverings by edges of the vertices of complete bipartite graphs Kp.q equals exp(xe r + ye x -x -y -xy) -t.