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KB Term:  Term intersection
English Word: 

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 5349-5353
(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 5347-5347

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


(subclass DirectedGraph Graph) Merge.kif 5393-5393
(subclass MultiGraph Graph) Merge.kif 5488-5488
(subclass PseudoGraph Graph) Merge.kif 5506-5506
(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 5774-5774
(domain MinimalCutSetFn 1 Graph) Merge.kif 5782-5782
(domain graphMeasure 1 Graph) Merge.kif 5852-5852
(domain graphPart 2 Graph) Merge.kif 5584-5584
(domain subGraph 1 Graph) Merge.kif 5593-5593
(domain subGraph 2 Graph) Merge.kif 5594-5594

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 5355-5375
(=>
    (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 5377-5391
(=>
    (instance ?GRAPH Graph)
    (subclass
        (MinimalCutSetFn ?GRAPH)
        (CutSetFn ?GRAPH)))
Merge.kif 5790-5792

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


(=>
    (instance ?PART GraphElement)
    (exists (?GRAPH)
        (and
            (instance ?GRAPH Graph)
            (graphPart ?PART ?GRAPH))))
Merge.kif 5524-5529
(=>
    (instance ?TS TransitSystem)
    (exists (?G)
        (and
            (instance ?G Graph)
            (abstractCounterpart ?G ?TS))))
Transportation.kif 2817-2822


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