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Bridge (graph theory)

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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. 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 if it contains no bridges.

Bridge (graph theory) - Wikipedia Jump to content From Wikipedia, the free encyclopedia Edge whose deletion would disconnect a graph A graph with 16 vertices and six bridges (highlighted in red) An undirected connected graph with no bridge edges 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

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