In graph theory, a branch of mathematics, a cluster graph is a graph formed from the disjoint union of complete graphs. Equivalently, a graph is a cluster...

cluster graph is a graph whose connected components are cliques. A block graph is a graph whose biconnected components are cliques. A chordal graph is...

of complete graphs Clusterable graph, in balance theory Cluster algebra, a class of commutative rings used in representation theory Cluster expansion,...

corresponding to the smallest eigenvalues of the graph Laplacian can be used for meaningful clustering of the masses. For example, assuming that all the...

cluster graphs are the disjoint unions of complete graphs. The 2-regular graphs are the disjoint unions of cycle graphs. More generally, every graph is...

versatile class of graph drawing algorithms. Examples of existing extensions include the ones for directed graphs, 3D graph drawing, cluster graph drawing, constrained...

in any graph. In a connected graph, there is exactly one component: the whole graph. In a forest, every component is a tree. In a cluster graph, every...

cliques. That is, each color class should form a cluster graph. The subchromatic number χS(G) of a graph G is the fewest colors needed in any subcoloring...

A graph database (GDB) is a database that uses graph structures for semantic queries with nodes, edges, and properties to represent and store data. A key...

candidate clusters spawn from the same distribution function (V-linkage). The product of in-degree and out-degree on a k-nearest-neighbour graph (graph degree...

In graph theory, a perfect graph is a graph in which the chromatic number equals the size of the maximum clique, both in the graph itself and in every...

known as quasi-cliques, as in the HCS clustering algorithm. Signed graph models: Every path in a signed graph has a sign from the product of the signs...

In graph theory, a clustering coefficient is a measure of the degree to which nodes in a graph tend to cluster together. Evidence suggests that in most...

large-scale data processing. Spark provides an interface for programming clusters with implicit data parallelism and fault tolerance. Originally developed...

one vertex. Complete k-partite graphs, complete multipartite graphs, and their complement graphs, the cluster graphs, are special cases of cographs,...

network is a graph characterized by a high clustering coefficient and low distances. In an example of the social network, high clustering implies the high...

compared, and the other axis represents a measured value. Some bar graphs present bars clustered or stacked in groups of more than one, showing the values of...

more general graph classes. Special types of cograph include complete graphs, complete bipartite graphs, cluster graphs, and threshold graphs. Cographs are...

computer science, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this context...

diamond-free graphs are locally clustered: that is, they are the graphs in which every neighborhood is a cluster graph. Alternatively, a graph is diamond-free...

computers, among others. Recently, the graph partition problem has gained importance due to its application for clustering and detection of cliques in social...

computing, a graph state is a special type of multi-qubit state that can be represented by a graph. Each qubit is represented by a vertex of the graph, and there...

probability one a unique infinite closed cluster (a closed cluster is a maximal connected set of "closed" edges of the graph). Thus the subcritical phase may...

an algorithm based on graph connectivity for cluster analysis. It works by representing the similarity data in a similarity graph, and then finding all...

cluster while all dissimilar ones are in different clusters. If the graph indeed admits a perfect clustering, then simply deleting all the negative edges and...

all the clusters of all the seeds in this graph. The cluster algebra also comes with the extra structure of the seeds of this graph. A cluster algebra...

In graph theory, a branch of mathematics, many important families of graphs can be described by a finite set of individual graphs that do not belong to...

number of graph nodes and possible paths. A hierarchical approach divides the map into 300×200 node clusters, forming a 10×10 grid (100 clusters total)....

subclasses of the perfect graphs, block graphs are perfect. Every tree, cluster graph, or windmill graph is a block graph. Every block graph has boxicity at most...

Appendix:Glossary of graph theory in Wiktionary, the free dictionary. This is a glossary of graph theory. Graph theory is the study of graphs, systems of nodes...