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In graph theory, a bridge, isthmus, cut-edge, or cut arc is an edge of a graph whose deletion increases the graph's number of connected components. [1] Equivalently, an edge is a bridge if and only if it is not contained in any cycle. For a connected graph, a bridge can uniquely determine a cut. A graph is said to be bridgeless or isthmus-free ...
Shortest path (A, C, E, D, F), blue, between vertices A and F in the weighted directed graph. In graph theory, the shortest path problem is the problem of finding a path between two vertices (or nodes) in a graph such that the sum of the weights of its constituent edges is minimized.
The Königsberg Bridge problem. ... Mathematical results on scale-free random graphs in "Handbook of Graphs and ... Graph theory tutorial Archived 2012-01-16 at the ...
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Microsoft Graph supports many different types of charts, but its output is dated. Office 2003 was the last version to use Microsoft Graph for hosting charts inside Office applications as OLE objects. Office 2007 – specifically, Excel 2007 – includes a new integrated charting engine, and the charts are native to the applications. The new ...
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In graph theory and theoretical computer science, the longest path problem is the problem of finding a simple path of maximum length in a given graph.A path is called simple if it does not have any repeated vertices; the length of a path may either be measured by its number of edges, or (in weighted graphs) by the sum of the weights of its edges.
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