GraphViz: expression trees

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GraphViz is a DSL (Domain Specific Language) for creating diagram visualizations as images, SVG (Scalable Vector Graphics) , etc.

For installation information, see Graphviz: dot .

Many years ago, Microsoft (in Excel, etc.) emphasized that what had often been called graphs were now charts.

A graph is a collection of nodes with connections called edges.

In math, a graph is a collection of vertices with connections called arcs.

A graph is a collection of nodes and edges connecting nodes.

Every edge in a directed graph has a direction from one node to the other node.
Every edge in an undirected graph does not have any direction.
A DAG (Directed Acyclic Graph) is a directed graph which has no cycles.

A connected graph with no cycles (directed or undirected) can always be represented as a tree structure.

Here is the GraphViz diagram. Here is the code that creates the diagram.

graph
{
	node [fontname="Arial"];
	#nodes
	node1 [label="Hello",shape=box];
	node2 [label="world",shape=oval];
	#edges
	node1 -- { node2 };
}

Here is the GraphViz diagram. Here is the code that creates the diagram.

digraph {
	node [fontname="Arial"];
	#nodes
	node1 [label="Hello",shape=box];
	node2 [label="world",shape=oval];
	#edges
	node1 -> { node2 };
}

Here is the GraphViz diagram.

The diagram is a digraph where the tree has interior nodes as a symbol. Here is the code that creates the diagram.

digraph ""
{
	node [fontname="Arial",shape=circle];
	# nodes
	b [label="|"] ;
	a [label="&"] ;
	x1 [label="X"] ;
	y1 [label="Y"] ;
	d [label="&"] ;
	c [label="!"] ;
	x2 [label="X"] ;
	e [label="!"] ;
	y2 [label="Y"] ;
	# edges
	b -> { a d };
	a -> { x1 y1 };
	d -> { c e };
	c -> { x2 };
	e -> { y2 };
}

Here is the GraphViz diagram.

The diagram is a graph where the tree has interior nodes as a symbol. Here is the code that creates the diagram.

graph ""
{
	node [fontname="Arial",shape=circle];
	# nodes
	b [label="|"] ;
	a [label="&"] ;
	x1 [label="X"] ;
	y1 [label="Y"] ;
	d [label="&"] ;
	c [label="!"] ;
	x2 [label="X"] ;
	e [label="!"] ;
	y2 [label="Y"] ;
	# edges
	b -- { a d };
	a -- { x1 y1 };
	d -- { c e };
	c -- { x2 };
	e -- { y2 };
}

Here is the GraphViz diagram.

The diagram is a digraph where the tree has interior nodes as a variable. Here is the code that creates the diagram.

digraph ""
{
	node [fontname="Arial",shape=circle];
	# nodes
	b [label="a"] ;
	a [label="b"] ;
	x1 [label="X"] ;
	y1 [label="Y"] ;
	d [label="c"] ;
	c [label="d"] ;
	x2 [label="X"] ;
	e [label="e"] ;
	y2 [label="Y"] ;
	# edges
	b -> { a d };
	a -> { x1 y1 };
	d -> { c e };
	c -> { x2 };
	e -> { y2 };
}

Here is the GraphViz diagram.

The diagram is a graph where the tree has interior nodes as a variable. Here is the code that creates the diagram.

graph ""
{
	node [fontname="Arial",shape=circle];
	# nodes
	b [label="a"] ;
	a [label="b"] ;
	x1 [label="X"] ;
	y1 [label="Y"] ;
	d [label="c"] ;
	c [label="d"] ;
	x2 [label="X"] ;
	e [label="e"] ;
	y2 [label="Y"] ;
	# edges
	b -- { a d };
	a -- { x1 y1 };
	d -- { c e };
	c -- { x2 };
	e -- { y2 };
}