<graph>

<graph> encodes a graph, which is a collection of nodes, and arcs which connect the nodes. 19.1 Graphs and Digraphs
Modulenets — 19 Graphs, Networks, and Trees
AttributesIn addition to global attributes
typedescribes the type of graph.
Status Recommended
Datatype
data.enumerated
Suggested values include:
undirected
undirected graph
directed
directed graph
transitionNetwork
a directed graph with distinguished initial and final nodes
transducer
a transition network with up to two labels on each arc
Note
If type is specified as undirected, then the distinction between the to and from attributes of the <arc> tag is neutralized. Also, the adj attribute, rather than the adjFrom and adjTo attributes, should be used to encode pointers to the ends of the arcs. If type is specified as directed (or any other value which implies directionality), then the adjFrom and adjTo attributes should be used, instead of the adj attribute.
orderstates the order of the graph, i.e., the number of its nodes.
Status Optional
Datatype
data.count
Values A positive integer.
sizestates the size of the graph, i.e., the number of its arcs.
Status Optional
Datatype
data.count
Values A non-negative integer.
Used by model.divPart
May contain
Declaration
element graph
{
   att.global.attributes,
   attribute type
   {
      "undirected" | "directed" | "transitionNetwork" | "transducer" | xsd:Name
   }?,
   attribute order { data.count }?,
   attribute size { data.count }?,
   (
      ( label, model.global* )?,
      (
         ( ( node, model.global* )+, ( arc, model.global* )* )
       | ( ( arc, model.global* )+, ( node, model.global* )+ )
      )
   )
}
Example
<graph
  xml:id="cug1"
  type="undirected"
  order="5"
  size="4"
  rend="LABEL-PLACE bottom center NODE-FRAME none ARC solid line">

 <label>Airline Connections in Southwestern USA</label>
 <node xml:id="laxdegree="2">
  <label>LAX</label>
 </node>
 <node xml:id="lvgdegree="2">
  <label>LVG</label>
 </node>
 <node xml:id="phxdegree="3">
  <label>PHX</label>
 </node>
 <node xml:id="tusdegree="1">
  <label>TUS</label>
 </node>
 <node xml:id="cibdegree="0">
  <label>CIB</label>
 </node>
 <arc from="#laxto="#lvg"/>
 <arc from="#laxto="#phx"/>
 <arc from="#lvgto="#phx"/>
 <arc from="#phxto="#tus"/>
</graph>
Note
One or more nodes and zero or more arcs in any order.