Infinite graph
Source: IMS 2009
May 20, 2009
ratiovectoralgebrapolynomiallimitinductionabsolute value
Problem Statement
In this infinite tree, degree of each vertex is equal to 3. A real number is given. We want to assign a real number to each node in such a way that for each node sum of numbers assigned to its neighbors is equal to times of the number assigned to this node.
Find all for which this is possible.