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・ Modular representation theory
・ Modular rocket
・ Modular Sleep System
・ Modular smartphone
・ Modular software music studio
・ Modular stadium
・ Modular subgroup
・ Modular symbol
・ Modular synthesizer
・ Modular Tactical Vest
・ Modular unit
・ Modular vehicle
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・ Modularity
・ Modularity (biology)
Modularity (networks)
・ Modularity of mind
・ Modularity theorem
・ Modularity-driven testing
・ Modulate (album)
・ Modulate (band)
・ Modulated complex lapped transform
・ Modulated continuous wave
・ Modulated neutron initiator
・ Modulated Noise Reference Unit
・ Modulated ultrasound
・ Modulating retro-reflector
・ Modulation
・ Modulation (disambiguation)
・ Modulation (European Union)


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Modularity (networks) : ウィキペディア英語版
Modularity (networks)

Modularity is one measure of the structure of networks or graphs. It was designed to measure the strength of division of a network into modules (also called groups, clusters or communities). Networks with high modularity have dense connections between the nodes within modules but sparse connections between nodes in different modules. Modularity is often used in optimization methods for detecting community structure in networks. However, it has been shown that modularity suffers a resolution limit and, therefore, it is unable to detect small communities. Biological networks, including animal brains, exhibit a high degree of modularity.
==Motivation==
Many scientifically important problems can be represented and empirically studied using networks. For example, biological and social patterns, the World Wide Web, metabolic networks, food webs, neural networks and pathological networks are real world problems that can be mathematically represented and topologically studied to reveal some unexpected structural features. Most of these networks possess a certain community structure that has substantial importance in building an understanding regarding the dynamics of the network. For instance, a closely connected social community will imply a faster rate of transmission of information or rumor among them than a loosely connected community. Thus, if a network is represented by a number of individual nodes connected by links which signify a certain degree of interaction between the nodes, communities are defined as groups of densely interconnected nodes that are only sparsely connected with the rest of the network. Hence, it may be imperative to identify the communities in networks since the communities may have quite different properties such as node degree, clustering coefficient, betweenness, centrality. etc., from that of the average network. Modularity is one such measure, which when maximized, leads to the appearance of communities in a given network.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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