<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
Attributesatt.global (@xml:id, @n, @xml:lang, @rend, @rendition, @xml:base, @xml:space) (att.global.linking (@corresp, @synch, @sameAs, @copyOf, @next, @prev, @exclude, @select)) (att.global.analytic (@ana)) (att.global.facs (@facs)) (att.global.change (@change))
typedescribes the type of graph.
Status Recommended
Datatype 

<rng:ref name="data.enumerated"/>
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 

<rng:ref name="data.count"/>
data.count
Values A positive integer.
sizestates the size of the graph, i.e., the number of its arcs.
Status Optional
Datatype 

<rng:ref name="data.count"/>
data.count
Values A non-negative integer.
Used by
model.divPart
Contained by
core: item note q quote said stage
drama: castList epilogue performance prologue set view
figures: figure
header: change handNote licence scriptNote typeNote
msdescription: accMat acquisition additions collation condition custEvent decoNote filiation foliation layout musicNotation origin provenance source support surrogates
tagdocs: specGrp
textstructure: argument body div div1 div2 div3 div4 div5 div6 div7 epigraph postscript
transcr: metamark
May contain
analysis: interp interpGrp span spanGrp
certainty: certainty precision respons
core: cb gap gb index label lb milestone note pb
figures: figure notatedMusic
iso-fs: fLib fs fvLib
linking: alt altGrp anchor join joinGrp link linkGrp timeline
nets: arc node
spoken: incident kinesic pause shift vocal writing
textcrit: witDetail
transcr: addSpan damageSpan delSpan fw listTranspose metamark space substJoin
Declaration

<rng:element name="graph">
 <rng:ref name="att.global.attributes"/>
 <rng:ref name="att.global.linking.attributes"/>
 <rng:ref name="att.global.analytic.attributes"/>
 <rng:ref name="att.global.facs.attributes"/>
 <rng:ref name="att.global.change.attributes"/>
 <rng:optional>
  <rng:attribute name="type">
   <rng:choice>
    <rng:value>undirected</rng:value>
    <rng:value>directed</rng:value>
    <rng:value>transitionNetwork</rng:value>
    <rng:value>transducer</rng:value>
    <rng:data type="Name"/>
   </rng:choice>
  </rng:attribute>
 </rng:optional>
 <rng:optional>
  <rng:attribute name="order">
   <rng:ref name="data.count"/>
  </rng:attribute>
 </rng:optional>
 <rng:optional>
  <rng:attribute name="size">
   <rng:ref name="data.count"/>
  </rng:attribute>
 </rng:optional>
 <rng:group>
  <rng:optional>
   <rng:ref name="label"/>
   <rng:zeroOrMore>
    <rng:ref name="model.global"/>
   </rng:zeroOrMore>
  </rng:optional>
  <rng:choice>
   <rng:group>
    <rng:oneOrMore>
     <rng:ref name="node"/>
     <rng:zeroOrMore>
      <rng:ref name="model.global"/>
     </rng:zeroOrMore>
    </rng:oneOrMore>
    <rng:zeroOrMore>
     <rng:ref name="arc"/>
     <rng:zeroOrMore>
      <rng:ref name="model.global"/>
     </rng:zeroOrMore>
    </rng:zeroOrMore>
   </rng:group>
   <rng:group>
    <rng:oneOrMore>
     <rng:ref name="arc"/>
     <rng:zeroOrMore>
      <rng:ref name="model.global"/>
     </rng:zeroOrMore>
    </rng:oneOrMore>
    <rng:oneOrMore>
     <rng:ref name="node"/>
     <rng:zeroOrMore>
      <rng:ref name="model.global"/>
     </rng:zeroOrMore>
    </rng:oneOrMore>
   </rng:group>
  </rng:choice>
 </rng:group>
</rng:element>
element graph
{
   att.global.attributes,
   att.global.linking.attributes,
   att.global.analytic.attributes,
   att.global.facs.attributes,
   att.global.change.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="lax" degree="2">
  <label>LAX</label>
 </node>
 <node xml:id="lvg" degree="2">
  <label>LVG</label>
 </node>
 <node xml:id="phx" degree="3">
  <label>PHX</label>
 </node>
 <node xml:id="tus" degree="1">
  <label>TUS</label>
 </node>
 <node xml:id="cib" degree="0">
  <label>CIB</label>
 </node>
 <arc from="#lax" to="#lvg"/>
 <arc from="#lax" to="#phx"/>
 <arc from="#lvg" to="#phx"/>
 <arc from="#phx" to="#tus"/>
</graph>
Note
One or more nodes and zero or more arcs in any order.