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        Definition 
        
        | All possible values for X |  
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        Definition 
        
        | Every X goes to a unique Y |  
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        Definition 
        
        Every Y is used   (*range = co-domain)  |  
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        Definition 
        
        | Consists of a finite set of vertices (nodes) and a finite set of edges (lines) connecting them. |  
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        | Directed Graph (Di-Graph) |  
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        Definition 
        
        | A graph where each edge is associates with an ordered pair of vertices (nodes) |  
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        Definition 
        
        | A graph that does not have any loops or parallel edges |  
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        Definition 
        
        | A simple graph where every vertex (node) is connected to every vertex |  
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        Definition 
        
        | The number of edgtes that connect to it (a loop counts twice) |  
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        Term 
        
        | Total degree of the graph |  
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        Definition 
        
        | The sum of the degree of the vertices |  
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        Definition 
        
        | In any graph, there is an even number of vertices with an odd number of degrees |  
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        Definition 
        
        | Teavel from one vertex to another; may repeat |  
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        Definition 
        
        | Walk that starts and ends at the same vertex |  
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        Definition 
        
        | Walk that doesn't repeat any edges |  
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        Definition 
        
        | A path that does not repeat vertices |  
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        Definition 
        
        | A closed walk that does not repeat edges |  
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        Definition 
        
        | A circut that does not repeat vertices (except @ start / end) |  
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        Definition 
        
        Has 1's down the diagnol; 0's everywhere else.   |1 0 0| |0 1 0|   |0 0 1|    |  
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        Definition 
        
        Connected graph with: *No circuts *No isolated vertices   |  
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        Definition 
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        Definition 
        
        | A vertex from which all others "hang" (identified starting area |  
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        Definition 
        
        | An adjacent node below the node (vertex) of interest |  
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        Definition 
        
        | The adjacent node above the vertex (node) of interest |  
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        Definition 
        
        | All vertices directly below the vertex of interest |  
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        Definition 
        
        | A rooted tree where each vertex has at most 2 children |  
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        Definition 
        
        | Every internal vertex (including the root) has exactly 2 children (no 1 child) |  
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        Definition 
        
        a subgraph that contains every vertex in the original connected graph (Make a tree out of a graph)   |  
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        Definition 
        
        | A spanning tree with the least total (weight/cost); Needs weights associated with it |  
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        Definition 
        
        | Tells how many edges go from one vertex to another |  
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        Definition 
        
        | Given m pigeonholes and n pigeons when n > m, then one pigeonhole must have at least two pigeons. |  
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        Definition 
        
        | The result of one function can be the input of a second function |  
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        Definition 
        
        | An association between data terms |  
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        Definition 
        
        | The number of elements in a set |  
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