Any DAG has at least one topological ordering, and there are linear time algorithms for constructing it. Topological sorting has many applications, especially...

find a topological ordering and then testing for each edge whether the resulting ordering is valid or alternatively, for some topological sorting algorithms...

reconstruction is the topological sorting of the association graph. The directed graph created in the previous step is topologically sorted to obtain the order...

acyclic graph, and an evaluation order may be found by topological sorting. Most topological sorting algorithms are also capable of detecting cycles in their...

postorderings are A C B D and A B C D. Reverse postordering produces a topological sorting of any directed acyclic graph. This ordering is also useful in control-flow...

always magically at your fingertips. And his algorithm also does topological sorting as a byproduct. Tarjan, R. E. (1972), "Depth-first search and linear...

tsort: c a b c Free and open-source software portal Sort (Unix) Make (software) Topological sorting List of Unix commands Call graph "tsort". The Open...

edges can be tree edges. Many topological sorting algorithms will detect cycles too, since those are obstacles for topological order to exist. Also, if a...

Internal sorting 5.2.1. Sorting by insertion 5.2.2. Sorting by exchanging 5.2.3. Sorting by selection 5.2.4. Sorting by merging 5.2.5. Sorting by distribution...

topological space, then it is customary to assume that { ( a , b ) : a ≤ b } {\displaystyle \{(a,b):a\leq b\}} is a closed subset of the topological product...

property[citation needed]. This is usually achieved by topologically sorting expressions and updating values in topological order. This can, however, have performance...

these potential Majorana zero modes to make topological qubits, and eventually a large-scale topological quantum computer.[unreliable source?] It can...

theory Graph (abstract data type) Network theory Orientation Preorder Topological sorting Transpose graph Vertical constraint graph Zero-weight cycle problem...

number of satisfying assignments. Topologically sorting is easy in contrast to counting the number of topological sortings. A single perfect matching can...

add it to the end of the sorted list Smoothgamersort Other Bitonic sorter Pancake sorting Spaghetti sort Topological sort Unknown class Samplesort Longest...

extension principle is constructively provable for finite sets using topological sorting algorithms, where the partial order is represented by a directed...

policy. A major feature of APT is the way it calls dpkg — it does topological sorting of the list of packages to be installed or removed and calls dpkg...

NetworkX Releases Version Release Date Major Changes 0.22 17 June 2005 Topological sorting for testing directed acyclic graphs (DAGs). Integration of Dijkstra's...

Bellman–Ford algorithm A* algorithm Floyd–Warshall algorithm Topological sorting Pre-topological order Adjacency list Adjacency matrix Adjacency algebra –...

Kosaraju's algorithm in topological order and by Tarjan's algorithm in reverse topological order. For each component in the reverse topological order, if its variables...

found in Cherkassky, Goldberg & Radzik (1996). An algorithm using topological sorting can solve the single-source shortest path problem in time Θ(E + V)...

characters tsort Performs a topological sort unexpand Converts spaces to tabs uniq Removes duplicate lines from a sorted file wc Prints the number of...

In mathematics, a base (or basis; pl.: bases) for the topology τ of a topological space (X, τ) is a family B {\displaystyle {\mathcal {B}}} of open subsets...

both kinds of tools have many commonalities: The dependency graph topological sorting used in a package manager to handle dependencies between binary components...

space, but may not be equivalent in other topological spaces. One such generalization is that a topological space is sequentially compact if every infinite...

are also key building blocks for many efficient algorithms, such as topological sort and set union-find. A linked list is a collection of structures ordered...

terms of time complexity, it can be solved in linear time simply by a topological sort. The Boolean Formula Value Problem (or Boolean Formula Evaluation Problem)...

traverse the current node's right subtree. The pre-order traversal is a topologically sorted one, because a parent node is processed before any of its child nodes...

left out, the dependency graph is a directed acyclic graph. Then, any topological sort of this graph is a valid instruction schedule. The edges of the graph...

finite union of topological curves. When complex zeros are considered, one has a complex algebraic curve, which, from the topological point of view, is...