Concurrent data structureDirected graph Strong connected components Connectivity on directed graphsDynamic graph algorithmsIn this paper, we present an on-line fully dynamic algorithm for maintaining strongly connected component of a directed graph in a shared memory architecture. The edges and vertices ...
In general, given a hyperbolic group \Gamma and finite generating set S we know that there exists a finite directed graph that encodes the pair \Gamma , S and that this directed graph {\mathcal {G}} has finitely many connected components, i.e. we can decompose the vertex set of {\...
Right: A “compressed”, annotated graph where v has a label (referring to the preference of v for its removed degree-one neighbor) and w is marked as “has to be matched”; see Section 3.1 for further details. To “undo” such a labeling or the constraints from vertices in F (i.e...
graph.go graph_test.go minimum_spanning_tree.go minimum_spanning_tree_test.go shortest_path.go shortest_path_test.go strongly_connected_components.go strongly_connected_components_test.go test topological_sort.go topological_sort_test.go traversal.go ...
I need help with the coding to compute the strongly connected components using the disjoint forest data structure. class UndirectedGraph: # n is the number of vertices # we will label the vertices from 0 to self.n -1 # We simply store the e...
Partitioning a digraph into subdigraphs with a fixed structure or property is a classical problem in graph theory and a useful tool in a number of applications of networks and communication. For instance, finding a partition into strongly connected components has been used in compiler analysis, da...
Since 𝑆𝑖𝑛𝑔(𝐺→1)Sing(G→1) is a directed single graph with 1-arity, 𝐶=𝐶𝑟C=Cr. Now let C be infinite connected component. Let 𝑣∈𝐶v∈C. Then we have 𝑣𝐸0𝑣,𝑣𝐸1𝑣1,𝑣𝐸2𝑣2,𝑣𝐸3𝑣3,…,𝑣𝐸𝑛𝑣𝑖,…𝑓𝑜𝑟𝑛∈...
DGraph is a system for directed graph processing with taking advantage of the strongly connected component structure. On this system, most graph partitions are able to reach convergence in order and need to be loaded into the main memory for exactly once, getting much lower data access cost and...
FIG. 5 is a flowchart of a process for performing swing modulo scheduling in accordance with a preferred embodiment of the present invention; FIG. 6 is a flowchart of a process for analyzing a data dependency graph in accordance with a preferred embodiment of the present invention; ...
It has a fully-filled band illustrated in graph (a), or equivalently, fully-filled sites with each site occupied by electrons of opposite spins as shown in graph (c). The lower two plots are relevant to a Mott insulator. The split of the energy band into two subbands due to strong e...