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KB Term:  Term intersection
English Word: 

Sigma KEE - Graph
Graph(graph)
Cartesian_coordinate_system, bus, bus_topology, coordinate_system, exponential_curve, frame_of_reference, inertial_frame, inertial_reference_frame, logical_topology, loop, loop_topology, mesh, mesh_topology, physical_topology, profile, reference_frame, reference_system, star, star_topology

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 5297-5301
(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 5295-5295 Graph is a subclass of proposition

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


(subclass DirectedGraph Graph) Merge.kif 5341-5341 Directed graph is a subclass of graph
(subclass MultiGraph Graph) Merge.kif 5436-5436 Multi graph is a subclass of graph
(subclass PseudoGraph Graph) Merge.kif 5454-5454 Pseudo graph is a subclass of 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 5722-5722 The number 1 argument of cut set is an instance of graph
(domain MinimalCutSetFn 1 Graph) Merge.kif 5730-5730 The number 1 argument of minimal cut set is an instance of graph
(domain graphMeasure 1 Graph) Merge.kif 5800-5800 The number 1 argument of graphMeasure is an instance of graph
(domain graphPart 2 Graph) Merge.kif 5532-5532 The number 2 argument of graph part is an instance of graph
(domain subGraph 1 Graph) Merge.kif 5541-5541 The number 1 argument of sub graph is an instance of graph
(domain subGraph 2 Graph) Merge.kif 5542-5542 The number 2 argument of sub graph is an instance of 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 5303-5323
(=>
    (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 5325-5339
(=>
    (instance ?GRAPH Graph)
    (subclass
        (MinimalCutSetFn ?GRAPH)
        (CutSetFn ?GRAPH)))
Merge.kif 5738-5740

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


(=>
    (instance ?PART GraphElement)
    (exists (?GRAPH)
        (and
            (instance ?GRAPH Graph)
            (graphPart ?PART ?GRAPH))))
Merge.kif 5472-5477
(=>
    (instance ?TS TransitSystem)
    (exists (?G)
        (and
            (instance ?G Graph)
            (abstractCounterpart ?G ?TS))))
Transportation.kif 2817-2822


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