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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 5591-5595
(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 5589-5589

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


(subclass DirectedGraph Graph) Merge.kif 5635-5635
(subclass MultiGraph Graph) Merge.kif 5738-5738
(subclass PseudoGraph Graph) Merge.kif 5768-5768
(termFormat ChineseLanguage Graph "图") chinese_format.kif 933-933
(termFormat EnglishLanguage Graph "graph") english_format.kif 1073-1073

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


(domain CutSetFn 1 Graph) Merge.kif 6038-6038
(domain MinimalCutSetFn 1 Graph) Merge.kif 6046-6046
(domain graphMeasure 1 Graph) Merge.kif 6116-6116
(domain graphPart 2 Graph) Merge.kif 5856-5856
(domain subGraph 1 Graph) Merge.kif 5865-5865
(domain subGraph 2 Graph) Merge.kif 5866-5866

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 5597-5617
(=>
    (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 5619-5633
(=>
    (instance ?GRAPH Graph)
    (subclass
        (MinimalCutSetFn ?GRAPH)
        (CutSetFn ?GRAPH)))
Merge.kif 6054-6056

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


(=>
    (instance ?PART GraphElement)
    (exists (?GRAPH)
        (and
            (instance ?GRAPH Graph)
            (graphPart ?PART ?GRAPH))))
Merge.kif 5792-5797
(=>
    (instance ?TS TransitSystem)
    (exists (?G)
        (and
            (instance ?G Graph)
            (abstractCounterpart ?G ?TS))))
Transportation.kif 2839-2844


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