It is shown that the number mod C(G) mod of cuts with the minimum cardinality lambda (G) in a multiple graph G=(V,E) can be computed in O( mod E mod + lambda (G) mod V mod /sup 2/+ lambda (G) mod C(G) mod mod V mod ) time.Nagamochi, H...
In this case, we need (i) to verify that the domination number is in fact γ, and (ii) to identify the non-dominating sets of cardinality γ. Proposition 2.2 For every M≥1 and every γ≥2, let G, |V(G)|=n=Mγ, be the γ-fold lexicographic product of KM. Then γ(G)=γ ...
holds. A DSM with the minimum cardinality is called a minimum dominating set for multilayer networks (MDSM). Since an MDSM is also a DS for each Gi, if we select an MDSM as a set of driver nodes (with assuming that each driver node can control its links independently), every Gi become...
Facebook Twitter Google Share on Facebook minimum vertex cover [‚min·ə·məm ′vər‚teks ‚kəv·ər] (mathematics) A vertex cover in a graph such that there is no other vertex cover with fewer vertices. McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyri...
An optimal CVCP3 with cardinality one is a vertex, and an optimal CVCP3 of cardinality two is an edge. After dealing with these two special cases in the first two lines of the algorithm, the remaining part is devoted to the case when an optimal CVCP3 has at least three vertices. ...
where | · | is the cardinality of the bacteria (B) and phages (P), and outd and ind refer to the outdegree and indegree of the nodes, that is, the number of arrows leaving source nodes (phages) or entering target nodes (bacteria), respectively. These equations consider that phages ...
A branch and cut approach to the cardinality constrained circuit problem The Cardinality Constrained Circuit Problem (CCCP) is the problem of finding a minimum cost circuit in a graph where the circuit is constrained to have at ... P Bauer,JT Linderoth,MWP Savelsbergh - 《Mathematical Programmin...
c:\users\nkalhan\anaconda3\envs\pycaret\lib\site-packages\pycaret\classification.py in setup(data, target, train_size, sampling, sample_estimator, categorical_features, categorical_imputation, ordinal_features, high_cardinality_features, high_cardinality_method, numeric_features, numeric_imputation, ...
The domination number of G, denoted by γ(G), is the minimum cardinality of a dominating set of G. If every vertex of V(G)∖D is dominated by exactly a vertex of D, then D is a perfect dominating set. A dominating set of G is efficient if D is perfect and there is no arc ...
[11] showed that a maximum cardinality matching in G provides an ϱ-optimal solution to Max-ECP where ϱ is the largest cardinality of a clique in G. This is the best known performance ratio for a polynomial time approximation algorithm for the problem. Since ϱ can be O(n), the ...