Strength of a Graph
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In the branch of mathematics called graph theory, the strength of an undirected graph corresponds to the minimum ratio edges removed/components created in a decomposition of the graph in question. It is a method to compute partitions of the set of vertices and detect zones of high concentration of edges. The strength (G) of an undirected simple graph G = (V, E) admits the three following definitions: Let be the set of all partitions of V, and partial pi be the set of ...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In the branch of mathematics called graph theory, the strength of an undirected graph corresponds to the minimum ratio edges removed/components created in a decomposition of the graph in question. It is a method to compute partitions of the set of vertices and detect zones of high concentration of edges. The strength (G) of an undirected simple graph G = (V, E) admits the three following definitions: Let be the set of all partitions of V, and partial pi be the set of edges crossing over the sets of the partition piinPi, then displaystylesigma(G)=min_{piinPi}frac{ partial pi }{ pi -1}.
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