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...

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

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

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...

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

tsort: c a b c Free and open-source software portal Sort (Unix) Make (software) Topological sorting List of Unix commands Call graph From 1997 until 2024...

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...

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...

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

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

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...

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

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

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...

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

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

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

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

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...

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...

necessarily avoiding crossings). 2.  Topological graph theory is the study of graph embeddings. 3.  Topological sorting is the algorithmic problem of arranging...

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...

weak topological mixing is one that has no non-constant continuous (with respect to the topology) eigenfunctions of the shift operator. Topological mixing...

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

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)...

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

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

Return true value Version 7 AT&T UNIX tsort Text processing Mandatory Topological sort Version 7 AT&T UNIX tty Misc Mandatory Return user's terminal name...