There exist fixed-parameter tractable algorithms to solve the metric dimension problem for the parameters " vertex cover " and " max leaf number ".
22.
Via this result, the minimum vertex cover, maximum independent set, and maximum vertex biclique problems may be solved in polynomial time for bipartite graphs.
23.
For example, women's connectome has more edges, higher minimum bipartition width, larger eigengap, greater minimum vertex cover than that of men.
24.
In a bipartite graph, all nodes that are not in the minimum vertex cover can be included in maximum independent set; see K�nig's theorem.
25.
The better expanding property, the higher minimum bipartition width and the greater minimum vertex cover show deep advantages in network connectivity in the case of female braingraph.
26.
A vertex cover of size in a graph of order can be found in time O ( 2 ^ kn ), so this problem is also in FPT.
27.
For bipartite graphs, the equivalence between vertex cover and maximum matching described by K�nig's theorem allows the bipartite vertex cover problem to be solved in polynomial time.
28.
For bipartite graphs, the equivalence between vertex cover and maximum matching described by K�nig's theorem allows the bipartite vertex cover problem to be solved in polynomial time.
29.
The better-expanding property, the higher minimum bipartition width and the greater minimum vertex cover show deep advantages in network connectivity in the case of female brain graph.
30.
One can find a factor-2 approximation by repeatedly taking " both " endpoints of an edge into the vertex cover, then removing them from the graph.
