It would be great if a more efficient way to determine the closure could also be expressed with this meta-predicate. For example, one would normally simply use Warshall's algorithm to compute the closure in cubic time, with code similar to: node_edges_closure(Node, Edges, Closure) :- wars...
For each non-empty seta, the transitive closure ofais the union ofatogether with the transitive closures of the elements ofa. Ifa ⊆ bthen (Closure ofa) ⊆ (Closure ofb). Hereditarily finite set. This is a set whosetransitive closureis finite. Examples: every finite transitive set; ever...
For graphs where each arc is selected at random with probabilityp, the average time to compute the transitive closure is no greater than min{a 1 pn 3+a 2 n 2, 1/2a 1 n 2 p −2+a 2 n 2} for largen. The algorithm will compute the transitive closure of an undirected graph in ...
Efficient Transitive Closure Computation - Nuutila, Soisalon-Soininen - 1993 () Citation Context ...dologies; the LEPP graph is a directed-acyclic graph(DAG) and the DAG can be evaluated in many parallel ways. Most of the related techniques use random algorithms and state effective complexity...
Its 2-closure, however, contains semiregular as well as odd permutations, in fact it contains an odd semiregular permutation of order 4. Further, in the hamiltonicity problem [28] as well as in the snark problem for cubic Cayley graphs [1], important progress was recently obtained in the...
This can be used to define transitive closure on weighted undirected graphs, which can be computed using a modified Floyd-Warshall algorithm. These new concepts are extended to dissimilarity graphs and triangle inequalities. From this, we extend the clique concept from unweighted graph to weighted ...
A graph G = (V, E) has a finite set V of vertices and a finite set E ⊆ V × V of edges. The transitive closure G∗ = (V ∗, E∗) of a graph G = (V, E) is defined to have V ∗ = V and to have an edge (u, v) in E∗ if and only if there is a ...