Abstract | ||
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We consider random rooted maps without regard to their genus, with fixed large number of edges, and address the problem of limiting distributions for six different parameters: vertices, leaves, loops, root edges, root isthmus, and root vertex degree. Each of these leads to a different limiting distribution, varying from (discrete) geometric and Poisson distributions to different continuous ones: Beta, normal, uniform, and an unusual distribution whose moments are characterised by a recursive triangular array. |
Year | Venue | Field |
---|---|---|
2018 | AofA | Discrete mathematics,Combinatorics,Vertex (geometry),Triangular array,Degree (graph theory),Poisson distribution,Mathematics,Limiting,Recursion,Asymptotic distribution |
DocType | Citations | PageRank |
Conference | 0 | 0.34 |
References | Authors | |
5 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Olivier Bodini | 1 | 82 | 22.10 |
Julien Courtiel | 2 | 0 | 0.68 |
Sergey Dovgal | 3 | 0 | 1.35 |
Hsien-Kuei Hwang | 4 | 365 | 38.02 |