\u3cp\u3eFor scale-free networks with degrees following a power law with an exponent τ ∈ (2, 3), the structures of motifs (small subgraphs) are not yet well understood. We introduce a method designed to identify the dominant structure of any given motif as the solution of an optimization problem. The unique optimizer describes the degrees of the vertices that together span the most likely motif, resulting in explicit asymptotic formulas for the motif count and its fluctuations. We then classify all motifs into two categories: motifs with small and large fluctuations.\u3c/p\u3
Artículo de publicación ISINetwork motifs are local structural patterns and elementary functional un...
Subgraphs reveal information about the geometry and functionalities of complex networks. For scale-f...
Subgraphs reveal information about the geometry and functionalities of complex networks. For scale-f...
For scale-free networks with degrees following a power law with an exponent τ ∈ (2, 3), the structur...
For scale-free networks with degrees following a power law with an exponent τ ∈ (2, 3), the structur...
For scale-free networks with degrees following a power law with an exponent τ ∈ (2, 3), the structur...
For scale-free networks with degrees following a power law with an exponent τ ∈ (2, 3), the structur...
For scale-free networks with degrees following a power law with an exponent τ ∈ (2, 3), the structur...
Given a motif, this MatLab code finds the dominant degrees of its vertices in hidden-variable models...
Given a motif, this MatLab code finds the dominant degrees of its vertices in hidden-variable models...
Given a motif, this MatLab code finds the dominant degrees of its vertices in hidden-variable models...
Given a motif, this MatLab code finds the dominant degrees of its vertices in hidden-variable models...
Subgraphs reveal information about the geometry and functionalities of complex networks. For scale-f...
Subgraphs reveal information about the geometry and functionalities of complex networks. For scale-f...
Artículo de publicación ISINetwork motifs are local structural patterns and elementary functional un...
Artículo de publicación ISINetwork motifs are local structural patterns and elementary functional un...
Subgraphs reveal information about the geometry and functionalities of complex networks. For scale-f...
Subgraphs reveal information about the geometry and functionalities of complex networks. For scale-f...
For scale-free networks with degrees following a power law with an exponent τ ∈ (2, 3), the structur...
For scale-free networks with degrees following a power law with an exponent τ ∈ (2, 3), the structur...
For scale-free networks with degrees following a power law with an exponent τ ∈ (2, 3), the structur...
For scale-free networks with degrees following a power law with an exponent τ ∈ (2, 3), the structur...
For scale-free networks with degrees following a power law with an exponent τ ∈ (2, 3), the structur...
Given a motif, this MatLab code finds the dominant degrees of its vertices in hidden-variable models...
Given a motif, this MatLab code finds the dominant degrees of its vertices in hidden-variable models...
Given a motif, this MatLab code finds the dominant degrees of its vertices in hidden-variable models...
Given a motif, this MatLab code finds the dominant degrees of its vertices in hidden-variable models...
Subgraphs reveal information about the geometry and functionalities of complex networks. For scale-f...
Subgraphs reveal information about the geometry and functionalities of complex networks. For scale-f...
Artículo de publicación ISINetwork motifs are local structural patterns and elementary functional un...
Artículo de publicación ISINetwork motifs are local structural patterns and elementary functional un...
Subgraphs reveal information about the geometry and functionalities of complex networks. For scale-f...
Subgraphs reveal information about the geometry and functionalities of complex networks. For scale-f...