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Home > Art, Film & Photography > Directed Graphs: Directed Acyclic Graph, Skew-Symmetric Graph, Flow Network, Table of Vertex-Symmetric Digraphs, Directed Graph, Tournament
Directed Graphs: Directed Acyclic Graph, Skew-Symmetric Graph, Flow Network, Table of Vertex-Symmetric Digraphs, Directed Graph, Tournament

Directed Graphs: Directed Acyclic Graph, Skew-Symmetric Graph, Flow Network, Table of Vertex-Symmetric Digraphs, Directed Graph, Tournament


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About the Book

Purchase includes free access to book updates online and a free trial membership in the publisher's book club where you can select from more than a million books without charge. Chapters: Directed Acyclic Graph, Skew-Symmetric Graph, Flow Network, Table of Vertex-Symmetric Digraphs, Directed Graph, Tournament, Quiver, de Bruijn Graph, Dependency Graph, Best Theorem, New Digraph Reconstruction Conjecture, Kautz Graph, Why-Because Analysis, Propositional Directed Acyclic Graph, Strongly Connected Component, St-Connectivity, Cause-Effect Graph, Implication Graph, Transpose Graph, Network, Wait-For Graph, Arborescence, Directed Pseudoforest. Excerpt: In graph theory, an arborescence is a directed graph in which, for a vertex v called the root and any other vertex u, there is exactly one directed path from v to u . In other words, an arborescence is a directed, rooted tree in which all edges point away from the root. Every arborescence is a directed acyclic graph . Arboreal decomposition References (URLs online) A hyperlinked version of this chapter is at 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 . The name is an acronym of the names of people who discovered it: de B ruijn ruijn, van Aardenne- E hrenfest hrenfest, S mith mith and T utte utte . Precise statement Let G = ( V, E ) be a directed graph. An Eulerian circuit is a directed closed path which visits each edge exactly once. In 1736, Euler showed that G has an Eulerian circuit if and only if G is connected and the indegree is equal to outdegree at every vertex. In this case G is called Eulerian. We denote these in- and out-degree of a vertex v by deg( v ). The BEST theorem states that the number ec( G ) of Eulerian circuits in a connected Eulerian graph G is given by this formula: Here t w ( G ) is the number of arborescences, which are trees directed towards the root at a fixed vertex w in G...


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Product Details
  • ISBN-13: 9781155842851
  • Publisher: Books LLC
  • Publisher Imprint: Books LLC
  • Height: 152 mm
  • No of Pages: 88
  • Spine Width: 5 mm
  • Weight: 141 gr
  • ISBN-10: 1155842855
  • Publisher Date: 07 May 2010
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Sub Title: Directed Acyclic Graph, Skew-Symmetric Graph, Flow Network, Table of Vertex-Symmetric Digraphs, Directed Graph, Tournament
  • Width: 229 mm


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