We present a new approach in the study of rooted maps without regard to genus. We prove the existence of a new type of equation for the generating series of ...

We present a new approach in the study of rooted maps without regard to genus. We prove the existence of a new type of equation for the generating series of ...

... orientable rooted maps is the solution of the Riccati equation: M(y,z))=y+zM(y,z)2+zM(y,z)+2z2. ¶. ¶ z. M(y,z). (5). The proof is based on the topological ...

In this paper, general functional equations of rooted essential maps on surfaces (orientable and nonorientable) are deduced and their formal solutions are ...

The main purpose of this paper is to enumerate the rooted maps on orientable surfaces with vertex partition and get a formula with the form as (1.4). For this.

Rooted maps on orientable surfaces, Riccati's equation and continued fractions. D. Arquès, J. Béraud. 2000, Discrete Mathematics. The number of rooted 2 ...

Enumeration of multi-rooted plane trees · Rooted maps on orientable surfaces, Riccati's equation and continued fractions. Citing Article. March 2000. Discrete ...

Béraud, Rooted maps on orientable surfaces, Riccati's equation and continued fractions, Discrete mathematics, vol.215, issue.1-3, pp.1-12, 2000. O. Bernardi ...

Rooted maps on orientable surfaces, Riccati's equation and continued fractions 1-12. D. Arquès. ,. J.-F. Béraud. Discrete Mathematics 215 (2000) 3. edit. [4].

The new formula establishes an unexpected link to an enumeration problem for rooted maps on orientable surfaces that was studied in Arquès and Béraud: Rooted ...