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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 5524-5528
(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 5522-5522 Graph is a subclass of proposition

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


(subclass DirectedGraph Graph) Merge.kif 5568-5568 Directed graph is a subclass of graph
(subclass MultiGraph Graph) Merge.kif 5669-5669 Multi graph is a subclass of graph
(subclass PseudoGraph Graph) Merge.kif 5699-5699 Pseudo graph is a subclass of graph
(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 5975-5975 The number 1 argument of cut set is an instance of graph
(domain MinimalCutSetFn 1 Graph) Merge.kif 5983-5983 The number 1 argument of minimal cut set is an instance of graph
(domain graphMeasure 1 Graph) Merge.kif 6053-6053 The number 1 argument of graphMeasure is an instance of graph
(domain graphPart 2 Graph) Merge.kif 5787-5787 The number 2 argument of graph part is an instance of graph
(domain subGraph 1 Graph) Merge.kif 5796-5796 The number 1 argument of sub graph is an instance of graph
(domain subGraph 2 Graph) Merge.kif 5797-5797 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 5530-5550
(=>
    (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 5552-5566
(=>
    (instance ?GRAPH Graph)
    (subclass
        (MinimalCutSetFn ?GRAPH)
        (CutSetFn ?GRAPH)))
Merge.kif 5991-5993

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


(=>
    (instance ?PART GraphElement)
    (exists (?GRAPH)
        (and
            (instance ?GRAPH Graph)
            (graphPart ?PART ?GRAPH))))
Merge.kif 5723-5728
(=>
    (instance ?TS TransitSystem)
    (exists (?G)
        (and
            (instance ?G Graph)
            (abstractCounterpart ?G ?TS))))
Transportation.kif 2846-2851


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