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Without a clever algorithm, graph cycle detection takes a lifetime. Tarjan's approach in PHP: https://vacilando.org/article/php-implementation-tarjans-cycle-detection... …...

In the mathematical theory of directed graphs, a graph is said to be strongly connected if every vertex is reachable from every other vertex. The strongly connected components of an arbitrary directed graph form a partition into subgraphs that are themselves strongly connected.

*cycle graph theory*

In computer science, Kosaraju's algorithm (also known as the Kosaraju–Sharir algorithm) is a linear time algorithm to find the strongly connected components of a directed graph. Aho, Hopcroft and Ullman credit it to an unpublished paper from 1978 by S. Rao Kosaraju.

*cycle graph theory algorithm*

In graph theory, the strongly connected components of a directed graph may be found using an algorithm that uses depth-first search in combination with two stacks, one to keep track of the vertices in the current component and the second to keep track of the current search path.

*cycle graph theory algorithm*

In mathematics, and more specifically in graph theory, a directed graph (or digraph) is a graph, or set of nodes connected by edges, where the edges have a direction associated with them. In formal terms, a digraph is a pair (sometimes ) of:[1]

*cycle graph theory*

In graph theory, there are several different types of object called cycles; a closed walk and a simple cycle. A closed walk consists of a sequence of vertices starting and ending at the same vertex, with each two consecutive vertices in the sequence adjacent to each other in the graph.

*cycle graph theory*

In graph theory, a loop (also called a self-loop or a "buckle") is an edge that connects a vertex to itself. A simple graph contains no loops. For an undirected graph, the degree of a vertex is equal to the number of adjacent vertices.

*cycle graph theory*

In computer science, the time complexity of an algorithm quantifies the amount of time taken by an algorithm to run as a function of the length of the string representing the input[1]:226.

*algorithm time complexity*

Daylen Brickley, a baby from the US state of New Hampshire, is the proud owner of a lifetime permit to hunt and fish - the first license holder under a new program. His fishing license is valid, but he will need to complete a hunter safety course before receiving that permit.

The spacecraft which made a spectacular landing on a comet last year has discovered a rich array of carbon compounds. One leading scientist has even described the chemicals as "a frozen primordial soup"...

Storing information so that you can easily find it again is a challenge. From purposefully messy desks to indexed filing cabinets, we all have our preferred systems. How does it happen inside our brains? Somewhere within the dense, damp and intricate 1.

Insects solve some pretty wacky biological problems, says Dr Gregory Sutton. And he should know. For almost a decade, he has been using high-speed cameras to reveal the secrets of the most acrobatic of the world's invertebrates...

The UK's Information Commissioner's Office (ICO) received a record number of complaints about nuisance calls in the past year. The watchdog said 180,188 complaints about unwanted promotional calls and text messages had been made, up 11% from last year...

Campaign group Amnesty International has called for an independent inquiry after it was confirmed it was spied on by British surveillance agency GCHQ. It said it was "outrageous" that human rights bodies were being monitored...

Facebook is to start paying some video creators for uploading their clips to the platform. The company is launching a Suggested Videos feed that curates a sequence of clips, interspersed with adverts.

Sitting eating a hot dog outside Lyon's exhibition centre, I couldn't help noticing the group at the next table. Three young men were chatting while a fourth sat completely immobile, not saying a word. Maybe that was because the fourth was a robot...

Researchers have used "mind games" to reveal clues about how nerve cells may change when making new memories. The team asked 14 volunteers to view pictures of people and faces, while recording the activity of single brain cells...

Now circus skills are being used not as a way of running away, but as a way of preventing marginalised young people from dropping out. And there is a branch of academic study to examine the social impact of circuses, known as "circademics"...

The 22-year-old man died in hospital after the accident at a plant in Baunatal, 100km north of Frankfurt. He was working as part of a team of contractors installing the robot when it grabbed him, according to the German car manufacturer.