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math.CO2007
Explicit enumeration of triangulations with multiple boundaries
Maxim Krikun
We enumerate rooted triangulations of a sphere with multiple holes by the total number of edges and the length of each boundary component. The proof relies on a combinatorial ident…
q-bio.PE2007★ 1 cited
Stochastic Models for Phylogenetic Trees on Higher-order Taxa
David Aldous, Maxim Krikun, Lea Popovic
Simple stochastic models for phylogenetic trees on species have been well studied. But much paleontology data concerns time series or trees on higher-order taxa, and any broad pict…
math.PR2007★ 2 cited
Connected allocation to Poisson points in R^2
Maxim Krikun
This note answers one question in [math.PR/0505668], concerning the connected allocation for the Poisson process in R^2. The proposed solution makes use of the Riemann map from the…