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KB Term:  Term intersection
English Word: 

  Graph

Sigma KEE - Graph
Graph

appearance as argument number 1
-------------------------


(documentation Graph ChineseLanguage "这是图的 Class,我们可以把图理解成一组由 GraphArc 联系 的 GraphNode。注:这个 Class 只包括连通图,即是两个 GraphNode 之间有一个 GraphPath 的图, 也要注意的是每一个 Graph 需要拥有起码两个 GraphArc 和三个 GraphNode。") chinese_format.kif 2323-2325
(documentation Graph EnglishLanguage "The Class of graphs, where a graph is understood to be a set of GraphNodes connected by GraphArcs. Note that this Class includes only connected graphs, i.e. graphs in which there is a GraphPath between any two GraphNodes. Note too that every Graph is required to contain at least two GraphArcs and three GraphNodes.") Merge.kif 5342-5346
(externalImage Graph "http://upload.wikimedia.org/wikipedia/commons/thumb/ 3/ 33/ Cubicpoly.svg/ 255px-Cubicpoly.svg.png") pictureList.kif 1125-1125
(subclass Graph Proposition) Merge.kif 5340-5340 subclass Graph and Proposition

appearance as argument number 2
-------------------------


(subclass DirectedGraph Graph) Merge.kif 5386-5386 subclass DirectedGraph and Graph
(subclass MultiGraph Graph) Merge.kif 5481-5481 subclass MultiGraph and Graph
(subclass PseudoGraph Graph) Merge.kif 5499-5499 subclass PseudoGraph and Graph
(termFormat ChineseLanguage Graph "图") chinese_format.kif 933-933
(termFormat EnglishLanguage Graph "graph") english_format.kif 1078-1078

appearance as argument number 3
-------------------------


(domain CutSetFn 1 Graph) Merge.kif 5767-5767 domain CutSetFn, 1 and Graph
(domain MinimalCutSetFn 1 Graph) Merge.kif 5775-5775 domain MinimalCutSetFn, 1 and Graph
(domain graphMeasure 1 Graph) Merge.kif 5845-5845 domain graphMeasure, 1 and Graph
(domain graphPart 2 Graph) Merge.kif 5577-5577 domain graphPart, 2 and Graph
(domain subGraph 1 Graph) Merge.kif 5586-5586 domain subGraph, 1 and Graph
(domain subGraph 2 Graph) Merge.kif 5587-5587 domain subGraph, 2 and Graph

antecedent
-------------------------


(=>
    (and
        (instance ?GRAPH Graph)
        (instance ?NODE1 GraphNode)
        (instance ?NODE2 GraphNode)
        (graphPart ?NODE1 ?GRAPH)
        (graphPart ?NODE2 ?GRAPH)
        (not
            (equal ?NODE1 ?NODE2)))
    (exists (?ARC ?PATH)
        (or
            (links ?NODE1 ?NODE2 ?ARC)
            (and
                (subGraph ?PATH ?GRAPH)
                (instance ?PATH GraphPath)
                (or
                    (and
                        (equal
                            (BeginNodeFn ?PATH) ?NODE1)
                        (equal
                            (EndNodeFn ?PATH) ?NODE2))
                    (and
                        (equal
                            (BeginNodeFn ?PATH) ?NODE2)
                        (equal
                            (EndNodeFn ?PATH) ?NODE1)))))))
Merge.kif 5348-5368
(=>
    (instance ?GRAPH Graph)
    (exists (?NODE1 ?NODE2 ?NODE3 ?ARC1 ?ARC2)
        (and
            (graphPart ?NODE1 ?GRAPH)
            (graphPart ?NODE2 ?GRAPH)
            (graphPart ?NODE3 ?GRAPH)
            (graphPart ?ARC1 ?GRAPH)
            (graphPart ?ARC2 ?GRAPH)
            (links ?NODE1 ?NODE2 ?ARC1)
            (links ?NODE2 ?NODE3 ?ARC2)
            (not
                (equal ?NODE1 ?NODE2))
            (not
                (equal ?NODE2 ?NODE3))
            (not
                (equal ?NODE1 ?NODE3))
            (not
                (equal ?ARC1 ?ARC2)))))
Merge.kif 5370-5384
(=>
    (instance ?GRAPH Graph)
    (subclass
        (MinimalCutSetFn ?GRAPH)
        (CutSetFn ?GRAPH)))
Merge.kif 5783-5785

consequent
-------------------------


(=>
    (instance ?PART GraphElement)
    (exists (?GRAPH)
        (and
            (instance ?GRAPH Graph)
            (graphPart ?PART ?GRAPH))))
Merge.kif 5517-5522
(=>
    (instance ?TS TransitSystem)
    (exists (?G)
        (and
            (instance ?G Graph)
            (abstractCounterpart ?G ?TS))))
Transportation.kif 2817-2822


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