The diffusion kernel and its associated graph structure are free of parametric structures.
As it is well known, these graphs are scale free, i.e. for N ≫ 1, the degree distribution is a power-law, P ( d ≫ 1 ) ≈ d α, with α exponent of the power-law (Fig. 1).
We must therefore additionally show that people naturally interpret graphs in a sentence-like way even when there is no verbal statement to compare the graph to, and when they are free to attend to the graphed values in any temporal order they choose.
A "rooted Direct Acyclic Graph (DAG)" is a directed graph that is free of directed cycles and that contains precisely one node without ancestors, called the "root".
A rooted DAG is defined as a directed graph that is free of directed cycles and contains precisely one node with indegree zero, called the root.
C orollary Algorithm 1 exactly solves the MinNADref problem for an input (F, S ) such that each AD-component of the corresponding graph R is free from S edges (i.e. there is no S edge between any two vertices of a given AD-component).
Algorithm 1 exactly solves the MinNADref problem for an input (F, S ) such that each AD-component of the corresponding graph R is free from S edges (i.e. there is no S edge between any two vertices of a given AD-component).
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