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Rigidity and absence of line fields for meromorphic and Ahlfors islands maps
Holomorphic dynamics Rigidity Meromorphic functions
2011/2/25
In this note, we give an elementary proof of the absence of invariant line fields on the conical Julia set of an analytic function of one variable. This proof applies not only to rational as well as t...
A conjecture of Carsten Thomassen states that every 4-connected line graph is hamiltonian. It is known that the conjecture is true for 7-connected line graphs. We improve this by showing that any 5-co...
The Point Mass Problem on the Real Line
point mass asymptotics orthogonal polynomials point mass asymptotics orthogonal polynomials
2010/12/1
This paper solves the point mass problem on the real line when the recurrence coefficients are asymptotically periodic.First, we give formulae for the perturbed orthogonal polynomi-als and the perturb...
Boxicity of Line Graphs
Intersection graph Interval graph Boxicity Line graph,Edge graph Hypercube
2010/12/10
Boxicity of a graph H, denoted by box(H), is the mini-mum integer k such that H is an intersection graph of axis-parallel k-dimensional boxes in Rk. In this paper.