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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 5530-5534
(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 5528-5528	Graph is a subclass of proposition

appearance as argument number 2

(subclass DirectedGraph Graph)	Merge.kif 5574-5574	Directed graph is a subclass of graph
(subclass MultiGraph Graph)	Merge.kif 5675-5675	Multi graph is a subclass of graph
(subclass PseudoGraph Graph)	Merge.kif 5705-5705	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 5981-5981	The number 1 argument of cut set is an instance of graph
(domain MinimalCutSetFn 1 Graph)	Merge.kif 5989-5989	The number 1 argument of minimal cut set is an instance of graph
(domain graphMeasure 1 Graph)	Merge.kif 6059-6059	The number 1 argument of graphMeasure is an instance of graph
(domain graphPart 2 Graph)	Merge.kif 5793-5793	The number 2 argument of graph part is an instance of graph
(domain subGraph 1 Graph)	Merge.kif 5802-5802	The number 1 argument of sub graph is an instance of graph
(domain subGraph 2 Graph)	Merge.kif 5803-5803	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 5536-5556	If a graph is an instance of graph and a graph node is an instance of graph node and another graph node is an instance of graph node and the graph node is a part of the graph and the other graph node is a part of the graph and the graph node is not equal to the other graph node, then there exist a graph arc and a graph path such that the graph arc links the graph node and the other graph node or the graph path is a subgraph of the graph and the graph path is an instance of graph path and the beginning of the graph path is equal to the graph node and the end of the graph path is equal to the other graph node or the beginning of the graph path is equal to the other graph node and the end of the graph path is equal to the graph node
(=> (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 5558-5572	If a graph is an instance of graph, then there exist a graph node, another graph node,, , a third graph node,, , a graph arc and another graph arc such that the graph node is a part of the graph and the other graph node is a part of the graph and the third graph node is a part of the graph and the graph arc is a part of the graph and the other graph arc is a part of the graph and the graph arc links the graph node and the other graph node and the other graph arc links the other graph node and the third graph node and the graph node is not equal to the other graph node and the other graph node is not equal to the third graph node and the graph node is not equal to the third graph node and the graph arc is not equal to the other graph arc
(=> (instance ?GRAPH Graph) (subclass (MinimalCutSetFn ?GRAPH) (CutSetFn ?GRAPH)))	Merge.kif 5997-5999	If a graph is an instance of graph, then the set of minimal paths that partition the graph into two separate graphs is a subclass of the set of paths that partition the graph into two separate graphs

consequent

(=> (instance ?PART GraphElement) (exists (?GRAPH) (and (instance ?GRAPH Graph) (graphPart ?PART ?GRAPH))))	Merge.kif 5729-5734	If a graph element is an instance of graph element, then there exists a graph such that the graph is an instance of graph and the graph element is a part of the graph
(=> (instance ?TS TransitSystem) (exists (?G) (and (instance ?G Graph) (abstractCounterpart ?G ?TS))))	Transportation.kif 2846-2851	If a physical is an instance of transit system, then there exists an abstract such that the abstract is an instance of graph and the abstract counterpart of the physical is the abstract

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