In graph theory, an arborescence is a directed graph where there exists a vertex r (called the root) such that, for any other vertex v, there is exactly...
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up arborescence in Wiktionary, the free dictionary. Arborescence refers to any tree-like structure. It may also refer to: Arborescence (graph theory) Arborescence...
304 bytes (69 words) - 04:59, 24 December 2016
In mathematics, and more specifically in graph theory, a directed graph (or digraph) is a graph that is made up of a set of vertices connected by directed...
16 KB (1,937 words) - 05:02, 12 April 2025
In graph theory, a tree is an undirected graph in which any two vertices are connected by exactly one path, or equivalently a connected acyclic undirected...
27 KB (3,383 words) - 16:48, 14 March 2025
Rhizome (philosophy) (category Postmodern theory)
Mutualism Perspectivism Plane of immanence Graph (abstract data type) Arborescence (graph theory) Tree (graph theory) Digital infinity Intertwingularity Young...
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In mathematics, and, in particular, in graph theory, a rooted graph is a graph in which one vertex has been distinguished as the root. Both directed and...
16 KB (1,821 words) - 21:44, 19 January 2025
Appendix:Glossary of graph theory in Wiktionary, the free dictionary. This is a glossary of graph theory. Graph theory is the study of graphs, systems of nodes...
109 KB (16,011 words) - 18:32, 30 April 2025
In mathematics, particularly graph theory, and computer science, a directed acyclic graph (DAG) is a directed graph with no directed cycles. That is, it...
45 KB (5,646 words) - 17:54, 7 June 2025
Eulerian path (redirect from Eulerian graph)
In graph theory, an Eulerian trail (or Eulerian path) is a trail in a finite graph that visits every edge exactly once (allowing for revisiting vertices)...
29 KB (3,459 words) - 04:25, 9 June 2025
The theory of random graphs lies at the intersection between graph theory and probability theory. From a mathematical perspective, random graphs are used...
15 KB (2,328 words) - 11:46, 21 March 2025
Binary tree (redirect from Binary tree (graph theory))
From a graph theory perspective, binary trees as defined here are arborescences. A binary tree may thus be also called a bifurcating arborescence, a term...
36 KB (5,097 words) - 22:11, 28 May 2025
Multitree (redirect from Mangrove (graph theory))
In combinatorics and order theory, a multitree may describe either of two equivalent structures: a directed acyclic graph (DAG) in which there is at most...
5 KB (568 words) - 06:58, 10 May 2025
Spanning tree (category Computational problems in graph theory)
of graph theory, a spanning tree T of an undirected graph G is a subgraph that is a tree which includes all of the vertices of G. In general, a graph may...
26 KB (3,280 words) - 19:26, 11 April 2025
Tree (abstract data type) (section Type theory)
direction (a more narrow term is an "arborescence"), meaning: A directed graph, whose underlying undirected graph is a tree (any two vertices are connected...
17 KB (2,207 words) - 10:40, 22 May 2025
Polytree (category Trees (graph theory))
undirected graph that is acyclic. A polytree is an example of an oriented graph. The term polytree was coined in 1987 by Rebane and Pearl. An arborescence is...
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graph theory, a connected graph is k-edge-connected if it remains connected whenever fewer than k edges are removed. The edge-connectivity of a graph...
7 KB (938 words) - 12:46, 5 July 2024
Edmonds' algorithm (category Graph algorithms)
In graph theory, Edmonds' algorithm or Chu–Liu/Edmonds' algorithm is an algorithm for finding a spanning arborescence of minimum weight (sometimes called...
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BEST theorem (category Theorems in graph theory)
In graph theory, a part of discrete mathematics, the BEST theorem gives a product formula for the number of Eulerian circuits in directed (oriented) graphs...
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can also be modelled as finding a maximum-probability spanning arborescence over the graph of all possible dependency edges, and then picking dependency...
23 KB (2,829 words) - 02:01, 8 January 2024
M-ary tree (category Trees (graph theory))
In graph theory, an m-ary tree (for nonnegative integers m) (also known as n-ary, k-ary, k-way or generic tree) is an arborescence (or, for some authors...
18 KB (2,762 words) - 05:48, 4 May 2025
Strahler number (category Trees (graph theory))
in this context are directed graphs, oriented from the root towards the leaves; in other words, they are arborescences. The degree of a node in a tree...
16 KB (2,065 words) - 16:49, 6 April 2025
Minimum spanning tree (section Dense graphs)
minimum spanning tree is NP-hard in general. An arborescence is a variant of MST for directed graphs. It can be solved in O ( E + V log V ) {\displaystyle...
44 KB (5,460 words) - 18:56, 21 May 2025
Apostolico–Giancarlo algorithm approximate string matching approximation algorithm arborescence arithmetic coding array array index array merging array search articulation...
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Sparsity matroid (category Graph invariants)
l − k ) {\displaystyle (k,l-k)} -arborescence; this was first shown for ( 2 , 3 ) {\displaystyle (2,3)} sparse graphs. Additionally, many of the rigidity...
24 KB (3,459 words) - 18:27, 22 May 2025
adjacency list versus adjacency matrix for graphs) is irrelevant, because species are purely algebraic. Category theory provides a useful language for the concepts...
20 KB (2,916 words) - 22:26, 28 May 2025
Random tree (category Trees (graph theory))
tree or arborescence that is formed by a stochastic process. Types of random trees include: Uniform spanning tree, a spanning tree of a given graph in which...
2 KB (263 words) - 21:33, 18 February 2024
Matroid intersection (category Matroid theory)
matchings and maximum weight matchings in bipartite graphs and finding arborescences in directed graphs. The matroid intersection theorem, due to Jack Edmonds...
14 KB (1,822 words) - 20:53, 17 May 2025
Sumner's conjecture (category Unsolved problems in graph theory)
{\displaystyle n} -vertex arborescence. Rosenfeld (1972) conjectured that every orientation of an n {\displaystyle n} -vertex path graph (with n ≥ 8 {\displaystyle...
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trained as an architect, so some of his drawings, which he called 'arborescences', resembled both organic forms and architectural structures." These...
39 KB (4,578 words) - 23:37, 29 May 2025
events, corresponds to an "anti-arborescence", contrary to the "arborescent stories" that, in accordance to graph theory, seek to bifurcate events as much...
22 KB (2,631 words) - 21:05, 7 June 2025