 At this time, graphs are not thread-safe. However, once a graph is constructed, if you will only be doing lookups and searches through it (no removals of vertices/edges and no additions of vertices/edges) then you should be able to do that from multiple threads. A fully thread-safe graph implementation is a possible future direction.
UnweightedGraph - A generic class implementation of Graph that adds convenience methods for adding and removing edges of type UnweightedEdge. UnweightedGraph is generic over the type of the vertices.
WeightedGraph - A generic class implementation of Graph that adds convenience methods for adding and removing edges of type WeightedEdge. WeightedGraph also adds a method for returning a list of tuples containing all of the neighbor vertices of an index along with their respective weights. WeightedGraph is generic over the types of the vertices and its weights.
UniqueElementsGraph - a Graph implementation with support for union operations that ensures all vertices and edges in a graph are unique.
Search methods are defined in extensions of Graph and WeightedGraph in Search.swift.
bfs() (method on Graph) - Finds a path from one vertex to another in a Graph using a breadth-first search. Returns an array of Edges going from the source vertex to the destination vertex or an empty array if no path could be found. A version of this method takes a function, goalTest(), that operates on a vertex and returns a boolean to indicate whether it is a goal for the search. It returns a path to the first vertex that returns true from goalTest().
findAll() Uses a breadth-first search to find all connected vertices from the starting vertex that return true when run through a goalTest() function. Paths to the connected vertices are returned in an array, which is empty if no vertices are found.
dijkstra() (method on WeightedGraph) - Finds the shortest path from a starting vertex to every other vertex in a WeightedGraph. Returns a tuple who's first element is an array of the distances to each vertex in the graph arranged by index. The second element of the tuple is a dictionary mapping graph indices to the previous Edge that gets them there in the shortest time from the staring vertex. Using this dictionary and the function pathDictToPath(), you can find the shortest path from the starting vertex to any other connected vertex. See the dijkstra() unit tests in DijkstraGraphTests.swift for a demo of this.
An extension to Graph in Sort.swift provides facilities for topological sort and detecting a DAG.
topologicalSort() - Does a topological sort of the vertices in a given graph if possible (returns nil if it finds a cycle). Returns a sorted list of the vertices. Runs in O(n) time.
isDAG - A property that uses topologicalSort() to determine whether a graph is a DAG (directed-acyclic graph). Runs in O(n) time.
An extension to WeightedGraph in MST.swift can find a minimum-spanning tree from a weighted graph.
mst() - Uses Jarnik's Algorithm (aka Prim's Algorithm) to find the tree made of minimum cumulative weight that connects all vertices in a weighted graph. This assumes the graph is completely undirected and connected. If the graph has directed edges, it may not return the right answer. Also, if the graph is not fully connected it will create the tree for the connected component that the starting vertex is a part of. Returns an array of WeightedEdges that compose the tree. Use utility functions totalWeight() and printMST() to examine the returned MST. Runs in O(n lg n) time.
An extension to Graph in Cycles.swift finds all of the cycles in a graph.
detectCycles() - Uses an algorithm developed by Liu/Wang to find all of the cycles in a graph. Optionally, this method can take one parameter, upToLength, that specifies a length at which to stop searching for cycles. For instance, if upToLength is 3, detectCycles() will find all of the 1 vertex cycles (self-cycles, vertices with edges to themselves), and 3 vertex cycles (connection to another vertex and back again, present in all undirected graphs with more than 1 vertex). There is no such thing as a 2 vertex cycle.
SwiftGraph is written by David Kopec and other contributors (see CONTRIBUTORS.md). It is released under the Apache License (see LICENSE). You can find my email address on my GitHub profile page. I encourage you to submit pull requests and open issues here on GitHub.
I would like to thank all of the contributors who have helped improve SwiftGraph over the years, and have kept me motivated. Contributing to SwiftGraph, in-line with the Apache license, means also releasing your contribution under the same license as the original project. However, the Apache license is permissive, and you are free to include SwiftGraph in a commercial, closed source product as long as you give it & its author credit (in fact SwiftGraph has already found its way into several products). See LICENSE for details.
*Note that all licence references and agreements mentioned in the SwiftGraph README section above are relevant to that project's source code only.Jason Segel simply began enjoying Lakers coach Paul Westhead on HBO Win time, however the how I Met Your Mom The actor admits he’s a “longtime” fan of the Lakers, particularly Kobe Bryant. Segel stopped Jimmy Kimmel dwell to inform a heartwarming story about how Bryant helped the younger actor land a film function in 2008.
“I hadn’t finished a lot but,” admits Segel, “and the top of a studio didn’t wish to rent me. So the company gave him a ticket to the Lakers sport and with out telling him they gave me the opposite ticket to the Lakers sport so when he exhibits up we sit subsequent to one another the opposite”, explains the actor.
“[The studio head] has no concept who I actually am…and unexpectedly Kobe noticed me out of the nook of his eye,” Segel continued, saying Bryant stopped in the midst of his warm-up to greet the actor. “He ran over and gave me a hug, and he mentioned, ‘You’re a humorous mom *****. “”Segel bought the gig the following day, though he wouldn’t admit what the film was about since, allegedly, it wasn’t good. Given the timeline, it should have been Take it to the Greek.
Segel admitted he later came upon Bryant mistook him for fellow comic Seth Rogen. Nonetheless, who else can say he was hugged by a sweaty Kobe Bryant whereas being known as a humorous ***** mom?!
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Bulgaria's Border Police Arrests 41 Syrians At Crossing With Romania
Bulgaria's border police arrested 41 Syrians at the Danube Bridge border crossing with Romania for illegally trying to leave the country, reports Vesti.bg.
They were found early on Thursday morning hiding in a truck with Turkish plates. The Turkish driver was also arrested.
According to the border police, the illegal immigrants got on the truck in Bulgaria. The truck was carrying window glazing for the Czech Republic.
On Wednesday evening the border police at the same crossing arrested two illegal immigrants from Afghanistan, hiding in a truck with textiles.
The driver was not arrested, as the police established the two had cut the truck's tarpaulin and got on secretly.
On Wednesday the border police apprehended at the Oryahovo border crossing 52 illegal immigrants from Syria, Iraq and Afghanistan.
The total number of illegal immigrants arrested at the Bulgarian-Romanian border is around 150 since the beginning of thethe project's design is perfect, with the building appearing to be modern, and the interior is luxuriously designed. the common area is also well-designed, offering numerous amenities, including a swimming pool, massage & spa room, a gym, etc. the room i rented is a spacious and comfortable 1 bedroom plus with a 3-meter ceiling height. the security guards and maids are also good and courteous. moreover, the location is impressive because the area is close to phahonyothin 24 bts, major ratchayothin and avenue ratchayothin, etc. finally, it's pretty worthwhile to choose to live here, and i would like to recommend it to those looking for a place to live alone. it is definitely matching your question.
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