A spatial network (sometimes also geometric graph) is a graph in which the vertices or edges are spatial elements associated with geometric objects, i.e., the nodes are located in a space equipped with a certain metric. The simplest mathematical realization of spatial network is a lattice or a random geometric graph (see figure in the right), where nodes are distributed uniformly at random over a two-dimensional plane; a pair of nodes are connected if the Euclidean distance is smaller than a given neighborhood radius. Transportation and mobility networks, Internet, mobile phone networks, power grids, social and contact networks and biological neural networks are all examples where the underlying space is relevant and where the graph's topology alone does not contain all the information. Ch
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| - Una red espacial (a veces también llamada ) es un en el cual los o son elementos espaciales asociados con geométrico objetos, por ejemplo, los nodos están localizados en un espacio equipado con una cierta . El grafo matemático más simple es celosía o un grafo geométrico aleatorio, donde los nodos están distribuidos de modo uniforme de manera aleatoria, sobre un plano bidimensional; un par de nodos están conectados si la es menor que un radio de vecindad dado. , Internet, redes de teléfonos celulares, el , redes sociales y de contactos y redes neuronales son todos ejemplos en los que el espacio subyacente es relevante y donde la topología del grafo sola no contiene toda la información. Caracterizar y comprender la estructura, resiliencia y la evolución de las redes espacialess es cruc (es)
- A spatial network (sometimes also geometric graph) is a graph in which the vertices or edges are spatial elements associated with geometric objects, i.e., the nodes are located in a space equipped with a certain metric. The simplest mathematical realization of spatial network is a lattice or a random geometric graph (see figure in the right), where nodes are distributed uniformly at random over a two-dimensional plane; a pair of nodes are connected if the Euclidean distance is smaller than a given neighborhood radius. Transportation and mobility networks, Internet, mobile phone networks, power grids, social and contact networks and biological neural networks are all examples where the underlying space is relevant and where the graph's topology alone does not contain all the information. Ch (en)
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| - Una red espacial (a veces también llamada ) es un en el cual los o son elementos espaciales asociados con geométrico objetos, por ejemplo, los nodos están localizados en un espacio equipado con una cierta . El grafo matemático más simple es celosía o un grafo geométrico aleatorio, donde los nodos están distribuidos de modo uniforme de manera aleatoria, sobre un plano bidimensional; un par de nodos están conectados si la es menor que un radio de vecindad dado. , Internet, redes de teléfonos celulares, el , redes sociales y de contactos y redes neuronales son todos ejemplos en los que el espacio subyacente es relevante y donde la topología del grafo sola no contiene toda la información. Caracterizar y comprender la estructura, resiliencia y la evolución de las redes espacialess es crucial para una multiplicidad de campos que van desde el urbanismo hasta la epidemiología. (es)
- A spatial network (sometimes also geometric graph) is a graph in which the vertices or edges are spatial elements associated with geometric objects, i.e., the nodes are located in a space equipped with a certain metric. The simplest mathematical realization of spatial network is a lattice or a random geometric graph (see figure in the right), where nodes are distributed uniformly at random over a two-dimensional plane; a pair of nodes are connected if the Euclidean distance is smaller than a given neighborhood radius. Transportation and mobility networks, Internet, mobile phone networks, power grids, social and contact networks and biological neural networks are all examples where the underlying space is relevant and where the graph's topology alone does not contain all the information. Characterizing and understanding the structure, resilience and the evolution of spatial networks is crucial for many different fields ranging from urbanism to epidemiology. (en)
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