# CustomGraph

A custom graph, specified by a list of edges and optionally colors.

## Class Constructor

Constructs a new graph given a list of edges.

Argument Type Description
edges iterable If edges has elements of type Tuple[int, int] it is treated as a list of edges. Then each element (i, j) means a connection between sites i and j. It is assumed that 0 <= i <= j. Also, edges should contain no duplicates. If edges has elements of type Tuple[int, int, int] each element (i, j, c) represents an edge between sites i and j colored into c. It is again assumed that 0 <= i <= j and that there are no duplicate elements in edges.
automorphisms List[List[int]]=[] The automorphisms of the graph, i.e. a List[List[int]] where the inner List[int] is a unique permutation of the graph sites.

### Examples

A 10-site one-dimensional lattice with periodic boundary conditions can be constructed specifying the edges as follows:

>>> from netket.graph import CustomGraph
>>> g=CustomGraph([[i, (i + 1) % 10] for i in range(10)])
>>> print(g.n_sites)
10



## Properties

Property Type Description
adjacency_list list The adjacency list of the graph where each node is represented by an integer in [0, n_sites).
automorphisms list[list] The automorphisms of the graph, including translation symmetries only.
distances list[list] The distances between the nodes. The fact that some node may not be reachable from another is represented by -1.
edges list The graph edges.
is_bipartite bool Whether the graph is bipartite.
is_connected bool Whether the graph is connected.
n_sites int The number of vertices in the graph.