Assertion: clique's vertex | /r/HasProperty | adjacent
Facets:
value: in the graph
type: LOCATION
value: correspond to intersect
type: MANNER
value: to all vertices
type: LOCATION
value: in the some color class
type: OTHER
value: to each other vertex in s.
type: LOCATION
Source sentences:
text: In the mathematical area of graph theory, a clique ( or ) is a subset of vertices of an undirected graph such that every two distinct vertices in the clique are adjacent; that is, its induced subgraph is complete.
text: A clique, C, in an undirected graph G = (V, E) is a subset of the vertices, C ⊆ V, such that every two distinct vertices are adjacent.
text: Two vertices are adjacent, in this graph, if the corresponding two accepting runs see the same bit values at every position they both examine.
text: Say that a set S of vertices of G form a clique if each vertex in S is adjacent to each other vertex in S.
text: ( ) represents a maximal clique of ; and two vertices of K(G) are adjacent when the underlying cliques in G share at least one vertex in common.
text: The k-overlap clique graph Kk(G) of a graph G is the graph whose vertices are the cliques of G, two vertices being adjacent if the corresponding cliques have k vertices in common.
text: Return the set of vertices that are adjacent to at least 3/4 of the selected vertices.
text: The way it is described here makes me think a clique is two adjacent vertices...
text: Intuitively, a tree decomposition represents the vertices of a given graph G as subtrees of a tree, in such a way that vertices in the given graph are adjacent only when the corresponding subtrees intersect.
text: That is, vertices are adjacent in the graph only when the corresponding subtrees have a node in common.
text: A clique is a subset of vertices of an undirected graph G such that every two distinct vertices in the clique are adjacent; that is, its induced subgraph is complete.
text: In the approximate coloring algorithm vertices are colored one by one in the same order as they appear in a set of candidate vertices R so that if the next vertex p is non-adjacent to all vertices in the some color class it is added to this class and if p is adjacent to at least one vertex in every one of existing color classes it is put into a new color class.
text: Two vertices are adjacent if and only if the edges in E these vertices correspond to intersect each other.