An improved Graph class

The graph_improved module defines the GraphImproved class, which represents a Graph and some of its computed properties, such as its clique polynomial.

AUTHORS:

• Paul Leopardi (2016-10-05): initial version

class boolean_cayley_graphs.graph_improved.GraphImproved(graph=None, **kwargs)

Bases: sage.graphs.graph.Graph, boolean_cayley_graphs.saveable.Saveable

A Graph and some of its computed properties, such as its clique polynomial.

The constructor is based on the Graph constructor and takes the same arguments.

EXAMPLES:

sage: P = graphs.PetersenGraph()
sage: P.clique_polynomial()
15*t^2 + 10*t + 1
sage: from boolean_cayley_graphs.graph_improved import GraphImproved
sage: PI = GraphImproved(P)
sage: PI.stored_clique_polynomial
15*t^2 + 10*t + 1
sage: dir = tmp_dir()
sage: PI.save_mangled('PetersenGraph', dir=dir)
sage: LPI = GraphImproved.load_mangled('PetersenGraph', dir=dir)
sage: LPI.stored_clique_polynomial
15*t^2 + 10*t + 1
sage: GraphImproved.remove_mangled('PetersenGraph', dir=dir)
sage: os.rmdir(dir)

TESTS:

sage: from boolean_cayley_graphs.graph_improved import GraphImproved
sage: P = graphs.PetersenGraph()
sage: PI = GraphImproved(P)
sage: print(PI)
Petersen graph

sage: from boolean_cayley_graphs.graph_improved import GraphImproved
sage: P = graphs.PetersenGraph()
sage: PI = GraphImproved(P)
sage: latex(PI)
\begin{tikzpicture}
\definecolor{cv0}{rgb}{0.0,0.0,0.0}
\definecolor{cfv0}{rgb}{1.0,1.0,1.0}
\definecolor{clv0}{rgb}{0.0,0.0,0.0}
...
\definecolor{cv6v8}{rgb}{0.0,0.0,0.0}
\definecolor{cv6v9}{rgb}{0.0,0.0,0.0}
\definecolor{cv7v9}{rgb}{0.0,0.0,0.0}
%
...
%
\Edge[lw=0.1cm,style={color=cv0v1,},](v0)(v1)
\Edge[lw=0.1cm,style={color=cv0v4,},](v0)(v4)
\Edge[lw=0.1cm,style={color=cv0v5,},](v0)(v5)
...
\Edge[lw=0.1cm,style={color=cv6v8,},](v6)(v8)
\Edge[lw=0.1cm,style={color=cv6v9,},](v6)(v9)
\Edge[lw=0.1cm,style={color=cv7v9,},](v7)(v9)
%
\end{tikzpicture}