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BUILT-IN MATHEMATICA SYMBOL

EmptyGraphQ

EmptyGraphQ[g]
yields True if g is an empty graph and False otherwise.

Test whether a graph is empty:

Non-empty graphs:

Test whether a graph is empty:

Out[1]=

Non-empty graphs:

Out[1]=

Test undirected and directed graphs:

EmptyGraphQ gives False for expressions that are not edgeless graphs:

Test large graphs:

The number of edges of an empty graph is zero:

The vertex degree for an empty graph is all zeros:

The empty graphs are undirected graphs:

The complement of a complete graph is an empty graph:

The intersection of two graphs with dfferent names is an empty graph:

The intersection of any graph and its complement is an empty graph:

The adjacency matrix for an empty graph has all zero entries: