4 papers
A Gauss-Bonnet-Type Dichotomy for Unimodular Random Infinite Trivalent Hyperbolic Polyhedra
Huabin Ge, Yangxiang Lu, Chuwen Wang +1
We develop a unified geometric and probabilistic theory of conformal type for unimodular random infinite trivalent hyperbolic polyhedra in . By corresponding these wi…
On Hamilton cycles in connected vertex-transitive graphs of order
Zhou Tianlei
The existence of Hamilton cycles in connected vertex-transitive graphs is a core open problem in algebraic graph theory, originating from Lovász's 1969 conjecture. All connected v…
Random infinite ideal angled graphs and ideal hyperbolic polyhedra
Huabin Ge, Yangxiang Lu, Chuwen Wang +1
This article aims to develop the theory of random infinite ideal hyperbolic polyhedra (abbr. IHP) from multiple perspectives, including combinatorics, geometry, analysis, and rando…
Hamilton cycles in vertex-transitive graphs of order
Shaofei Du, Tianlei Zhou
It was shown by Kutnar and \v Sparl in 2009 that every connected vertex-transitive graph of order , where is a prime, contains a Hamilton path. In this paper, it will be sh…