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