# is_multigraphical#

is_multigraphical(sequence)[source]#

Returns True if some multigraph can realize the sequence.

Parameters:
sequencelist

A list of integers

Returns:
validbool

True if deg_sequence is a multigraphic degree sequence and False if not.

Notes

The worst-case run time is $$O(n)$$ where $$n$$ is the length of the sequence.

References

[1]

S. L. Hakimi. “On the realizability of a set of integers as degrees of the vertices of a linear graph”, J. SIAM, 10, pp. 496-506 (1962).