is_degseq

0th

Percentile

Check if a degree sequence is valid for a multi-graph

is_degseq checks whether the given vertex degrees (in- and out-degrees for directed graphs) can be realized by a graph. Note that the graph does not have to be simple, it may contain loop and multiple edges. For undirected graphs, it also checks whether the sum of degrees is even. For directed graphs, the function checks whether the lengths of the two degree vectors are equal and whether their sums are also equal. These are known sufficient and necessary conditions for a degree sequence to be valid.

Keywords
graphs
Usage
is_degseq(out.deg, in.deg = NULL)
Arguments
out.deg

Integer vector, the degree sequence for undirected graphs, or the out-degree sequence for directed graphs.

in.deg

NULL or an integer vector. For undireted graphs, it should be NULL. For directed graphs it specifies the in-degrees.

Value

A logical scalar.

References

Hakimi SL: On the realizability of a set of integers as degrees of the vertices of a simple graph. J SIAM Appl Math 10:496-506, 1962.

PL Erdos, I Miklos and Z Toroczkai: A simple Havel-Hakimi type algorithm to realize graphical degree sequences of directed graphs. The Electronic Journal of Combinatorics 17(1):R66, 2010.

g <- sample_gnp(100, 2/100) is_degseq(degree(g)) is_graphical(degree(g)): is_graphical