The intent of this paper is to provide a definition of a socioraetric clique in the language of graph theory. This problem is viewed from two perspectives: maintaining fidelity to the intuitive notion of a clique; and providing adequate computational mechanics for large bodies of data. Luce's...
A small, exclusive circle of people; snobbish or narrow coterie. ... The definition of a clique is a small, closed off group of people. The popular group in high school is an example of a clique. noun. A small exclusive group of friends or associates. What is Cliquism? :the tendency...
addition to high level of familiarity within the group ensured by its definition for low values of s, an s-plex fares well with respect to robustness expressed in terms of vertex connectivity, which is the minimum number of vertices that need to be removed in order to disconnect the graph....
the total height of all the peaks in parameter space is equal to the number of pairwise compatibilities in the match graph. Hence thecomputational loadis of the same order, O(n4). Next comes the problem of locating all the peaks in parameter space. For anN×Nimage ...
With objects modeled as vertices and the relationship among objects captured by the hyperedges, the goal of graph partitioning is to minimize the edge cut. Therefore, the definition of hyperedges is vital to the clustering performance. While several definitions of hyperedges have been proposed, a...
A graph \({\mathcal{G}}\) is said to have no loops if π(u, u) = 0 for all \(u\in {\mathcal{V}}\). Formally, a k-clique is a subgraph consisting of k nodes with all pairwise connections, where k is any positive integer. It naturally follows from the definition that any...
Definition 2.3 Let\({\mathscr {L}}\)be a simplicial complex and assume that the vertices are ordered by\([n] = \{1,\ldots ,n\}\). For each simplex\(s \in {\mathscr {L}}\)define $$\begin{aligned} I_{{\mathscr {L}}}(s) :=\{j \in [n] \mid j < \min (s) \text...
By definition, a graph is clique divergent if the orders of its iterated clique graphs tend to infinity, and the clique graph of a graph is the intersection graph of its maximal complete subgraphs. 漏 2005 Wiley Periodicals, Inc. J Graph TheoryF....
By definition, for every graph G with no isolated vertices, each clique-transversal set in G is clearly a dominating set, so [gamma](G) [less than or equal to] [[tau].sub.C] (G). To motivate the study of the clique-transversal set in graphs, we present two examples of......
Of course, in this definition, distance 1 may be replaced by an arbitrary fixed distance a > 0, due to the homogeneity of the Euclidean space.A. M. RAIGORODSKIIO. I. RUBANOVInternational Conference on Number Theory and Cryptography