caa a22 4500 378896814 CHVBK 20180305123508.0 cr unu---uuuuu 161128e20040701xx s 000 0 eng 10.1515/1569392031905548 doi (NATIONALLICENCE)gruyter-10.1515/1569392031905548 Krikun M. A. Boundaries of random triangulation of a disk [Elektronische Daten] [M. A. Krikun] We consider random triangulations of a disk with k holes and N triangles as N → ∞. The coefficient λ m, λ > 0, is assigned to a triangulation with the total number of boundary edges equal to m. In the case of two boundaries, we separate three domains of variation of the parameter λ, and in each of them find the limit joint distribution of boundary lengths. For a greater number of boundaries, we give an algorithm to calculate the generating functions for the number of multi-rooted triangulations depending of the number of triangles and the lengths of boundaries. In Appendix, we discuss the relation between multi-rooted triangulations and unrooted triangulations, and give analogues of limit distributions for unrooted triangulations. Copyright 2004, Walter de Gruyter Discrete Mathematics and Applications Walter de Gruyter 14/3(2004-07-01), 301-315 0924-9265 14:3<301 2004 14 dma https://doi.org/10.1515/1569392031905548 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/1569392031905548 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Krikun M. A. NATIONALLICENCE 773 0- Discrete Mathematics and Applications Walter de Gruyter 14/3(2004-07-01), 301-315 0924-9265 14:3<301 2004 14 dma CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter