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GraphTheory
Course: CET 459, Fall 2009School: ASU
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458/598 Graph CET Theory Fall 2000 graph - a set of nodes (vertices) and a set of arcs (edge, link, line) connecting the nodes adjacent nodes - if an arc connects them directed or undirected arc - if information only flows in direction of arrow degree of a node - the number arc ending there regular graph - all nodes have the same degree path - a sequence of adjacent nodes path length - the number of arcs it...
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458/598
Graph CET Theory
Fall 2000
graph - a set of nodes (vertices) and a set of arcs (edge, link, line) connecting the nodes adjacent nodes - if an arc connects them directed or undirected arc - if information only flows in direction of arrow degree of a node - the number arc ending there regular graph - all nodes have the same degree path - a sequence of adjacent nodes path length - the number of arcs it contains geodesic - the shortest path between a pair of nodes graph diameter - the length of the longest geodesic connected graph - if every node is reachable from every other node (i.e., if there is a path from every node to every other node) a spanning tree of a graph is a subgraph containing all the nodes of the graph and some collection of arcs chosen so that the is exactly one path between every of pair nodes the weight of an arc is some quantity (metric) assigned to the arc (e.g., distance, bandwidth) the total weight of a graph/tree is the sum of the weights of all its arcs a minimal spanning tree of a graph is the spanning tree with the minimal weight Cuts and Network Flow an X-Y cut is a set of arcs whose removal disconnects node X from node Y a minimal cut is one in which replacement of any of its members reconnects the graph the capacity of a cut is the sum of the we...
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