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The cut-set of the split is just the single bridge edge, which is a special case of a complete bipartite subgraph. Similarly, if v is an articulation point of a graph that is not 2-vertex-connected , then the graph has multiple splits in which v and some but not all of the components formed by its deletion are on one side, and the remaining ...
A cut whose cut-set has minimum total weight, possibly restricted to cuts that separate a designated pair of vertices; they are characterized by the max-flow min-cut theorem. minor A graph H is a minor of another graph G if H can be obtained by deleting edges or vertices from G and contracting edges in G .
A cut C = (S, T) is a partition of V of a graph G = (V, E) into two subsets S and T. The cut-set of a cut C = (S, T) is the set {(u, v) ∈ E | u ∈ S, v ∈ T} of edges that have one endpoint in S and the other endpoint in T. If s and t are specified vertices of the graph G, then an s – t cut is a cut in which s belongs to the set S and t ...
If a graph is both a split graph and an interval graph, then its complement is both a split graph and a comparability graph, and vice versa. The split comparability graphs, and therefore also the split interval graphs, can be characterized in terms of a set of three forbidden induced subgraphs. [7] The split cographs are exactly the threshold ...
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The main effect of stock splits is an increase in the liquidity of a stock: [3] there are more buyers and sellers for 10 shares at $10 than 1 share at $100. Some companies avoid a stock split to obtain the opposite strategy: by refusing to split the stock and keeping the price high, they reduce trading volume.
Because of the inconsistency of the split, put and putt became a minimal pair that were distinguished as / p ʊ t / and / p ʌ t /. The first clear description of the split dates from 1644. [5] In non-splitting accents, cut and put rhyme, putt and put are homophonous as / p ʊ t /, and pudding and budding rhyme.