Apex Graphs¶

This module provides functionality related to apex graphs.

pyrigi.graph._other.apex.is_critically_edge_apex(graph)[source]¶

Return whether the graph is critically edge apex.

Alias for is_critically_k_edge_apex() with k=1.

Return type:: bool
Parameters:: graph (Graph)

Definitions

Critically edge apex graph

pyrigi.graph._other.apex.is_critically_k_edge_apex(graph, k)[source]¶

Return whether the graph is critically k-edge apex.

Return type:

bool

Parameters:

graph (Graph)
k (int)

Definitions

Critically k-edge apex graph

Examples

>>> import pyrigi.graphDB as graphs
>>> G = graphs.Complete(5)
>>> is_critically_k_edge_apex(G, 1)
True

pyrigi.graph._other.apex.is_critically_k_vertex_apex(graph, k)[source]¶

Return whether the graph is critically k-vertex apex.

Return type:

bool

Parameters:

graph (Graph)
k (int)

Definitions

Critically k-vertex apex graph

Examples

>>> import pyrigi.graphDB as graphs
>>> G = graphs.Complete(5)
>>> is_critically_k_vertex_apex(G, 1)
True

pyrigi.graph._other.apex.is_critically_vertex_apex(graph)[source]¶

Return whether the graph is critically vertex apex.

Alias for is_critically_k_vertex_apex() with k=1.

Return type:: bool
Parameters:: graph (Graph)

Definitions

Critically vertex apex graph

pyrigi.graph._other.apex.is_edge_apex(graph)[source]¶

Return whether the graph is edge apex.

Alias for is_k_edge_apex() with k=1

Return type:: bool
Parameters:: graph (Graph)

Definitions

Edge apex graph

pyrigi.graph._other.apex.is_k_edge_apex(graph, k)[source]¶

Return whether the graph is k-edge apex.

Return type:

bool

Parameters:

graph (Graph)
k (int)

Definitions

k-edge apex graph

Examples

>>> import pyrigi.graphDB as graphs
>>> G = graphs.Complete(5)
>>> is_k_edge_apex(G, 1)
True

pyrigi.graph._other.apex.is_k_vertex_apex(graph, k)[source]¶

Return whether the graph is k-vertex apex.

Return type:

bool

Parameters:

graph (Graph)
k (int)

Definitions

k-vertex apex graph

Examples

>>> import pyrigi.graphDB as graphs
>>> G = graphs.Complete(5)
>>> is_k_vertex_apex(G, 1)
True

pyrigi.graph._other.apex.is_vertex_apex(graph)[source]¶

Return whether the graph is vertex apex.

Alias for is_k_vertex_apex() with k=1.

Return type:: bool
Parameters:: graph (Graph)

Definitions

Vertex apex graph