Nullity (graph theory)

Nullity (graph theory)

The nullity of a graph is defined as the number

:: m = b - n + c

where b is the number of edges, n is the number of nodes and c the number of components. Equivalently, the nullity of a graph is the dimension of the null space of the oriented incidence matrix associated with the graph.

See also

* Rank (graph theory)

References

* Chen, Wai-Kai. "Applied Graph Theory". North Holland Publishing Company, 1976.


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