Sentence examples for maximal cliques for from inspiring English sources

It enumerates maximal cliques for different vertices in a graph in parallel.

However, the problem is even hard to approximate since there is no O(V 1−δ ) approximation for the best maximal clique among O(3 V/3) maximal cliques for any fixed δ>0 [43].

From this graph, co-expressed gene groups were extracted as maximal cliques for each node.

Again, Cliquer could not compute the maximal cliques for any of the data sets in any reasonable time.

The complexity is, which can be very large, where n is the number of maximal cliques for the chunk.

Note that because of the definition of maximal cliques, for every k, such c k always exists and we have c1 < c2 < ⋯ < c m.

If G(M) has a proper triangulation H, then a perfect phylogeny for M can be constructed from a clique tree of H. T   is a clique tree for a graph G if 1. the nodes of T   are in bijection with the maximal cliques of G, 2. for each vertex v of G, the maximal cliques containing v form a connected subtree of T  .

A clique tree of a chordal graph H is a pair (T, B) where (i) T is a tree, (ii) B is a bijective function from vertices of T to maximal cliques of H, and (iii) for every vertex v∈ H, the set of all vertices x of T where v∈ B x) induces a subtree in T. Property (iii) is called coherence.

The authors present a parallel algorithm for generating all maximal cliques of a graph.

In this paper, the authors present a parallel algorithm for finding the maximal cliques of a circle graph using the cgm model.

The authors apply the notion of locally edge transitive orientations of an undirected graph and obtain an algorithm for generating all maximal cliques of a circle graph G in time O(n(m+α)), where n, m, and α are the number of vertices, edges and maximal cliques of G.