trophic_levels¶

trophic_levels(G, weight='weight')[source]¶

Compute the trophic levels of nodes.

The trophic level of a node $i$ is

s_{i} = 1 + \frac{1}{k_{i}^{i n}} \sum_{j} a_{i j} s_{j}

where $k_{i}^{i n}$ is the in-degree of i

k_{i}^{i n} = \sum_{j} a_{i j}

and nodes with $k_{i}^{i n} = 0$ have $s_{i} = 1$ by convention.

These are calculated using the method outlined in Levine [1].

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Returns

References