Примеры использования Bipartite graphs на Английском языке и их переводы на Русский язык
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Line perfect graphs generalize the bipartite graphs, and share with them the properties that the maximum matching
In n-vertex bipartite graphs, a minimum clique cover takes the form of a maximum matching together with an additional clique for every unmatched vertex, with size n- M, where M is
The NP-completeness of the achromatic number problem holds also for some special classes of graphs: bipartite graphs, complements of bipartite graphs(that is,
the forest F is the same that would be used to find maximum matchings in bipartite graphs without need for shrinking blossoms.
resulting in a non-bipartite matching algorithm with the same time bound as the Hopcroft-Karp algorithm for bipartite graphs.
in which the graphs they called split graphs also included bipartite graphs(that is, graphs that be partitioned into two independent sets)
minimum vertex covers in bipartite graphs.
theorem allows minimum vertex covers and maximum independent sets to be computed in polynomial time for bipartite graphs, despite the NP-completeness of these problems for more general graph families.
For some graphs, such as bipartite graphs and high-degree planar graphs,
These include the bipartite graphs, the chordal graphs,
with the property that the edges spanning the cut between these two subsets form two vertex-disjoint complete bipartite graphs.
In the latter case they are closely related to regular hypergraphs and biregular bipartite graphs, but with some additional restrictions: every two points of the incidence structure can be associated with at most one line,
It is also P-complete to count perfect matchings, even in bipartite graphs, because computing the permanent of an arbitrary 0-1 matrix(another P-complete problem) is the same as computing the number of perfect matchings in the bipartite graph having the given matrix as its biadjacency matrix.
These include the bipartite graphs, the complements of interval graphs,
for otherwise it would include large dense complete bipartite graphs.
bridgeless undirected planar 3-regular bipartite graphs, 3-connected 3-regular bipartite graphs,
by replacing one of the two subsets of vertices by a shortest path within that subset that connects one of the two complete bipartite graphs to the other; when no such path exists, the block is formed instead by replacing one of the two subsets of vertices by two vertices, one for each complete bipartite subgraph.
The characterization in terms of matchings can be extended from bipartite graphs to very well covered graphs: a graph G is very well covered if
The complete bipartite graph Km, n has edge covering number maxm, n.
The incidence graph of a generalized digon is a complete bipartite graph Ks+1,t+1.