# momepy.closeness_centrality¶

momepy.closeness_centrality(graph, name='closeness', weight='mm_len', radius=None, distance=None, verbose=True, **kwargs)[source]

Calculates the closeness centrality for nodes.

Wrapper around networkx.closeness_centrality.

Closeness centrality of a node u is the reciprocal of the average shortest path distance to u over all n-1 nodes within reachable nodes.

$C(u) = \frac{n - 1}{\sum_{v=1}^{n-1} d(v, u)},$

where $$d(v, u)$$ is the shortest-path distance between $$v$$ and $$u$$, and $$n$$ is the number of nodes that can reach $$u$$.

Parameters
graphnetworkx.Graph

Graph representing street network. Ideally generated from GeoDataFrame using momepy.gdf_to_nx()

namestr, optional

calculated attribute name

weightstr (default ‘mm_len’)

attribute holding the weight of edge (e.g. length, angle)

Include all neighbors of distance <= radius from n

distancestr, optional

Use specified edge data key as distance. For example, setting distance=’weight’ will use the edge weight to measure the distance from the node n during ego_graph generation.

verbosebool (default True)

if True, shows progress bars in loops and indication of steps

**kwargs

kwargs for networkx.closeness_centrality

Returns
Graph

networkx.Graph

Examples

>>> network_graph = mm.closeness_centrality(network_graph)