An ingraph N is a subgraph of a digraph G whose edge set consists of all the edges of G that are directed into a subset X of the vertices.
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Consider a digraph G with vertex set V and edge set E. The ingraph. N = N(X) generated by X s V is the subgraph whose edge set consists of.
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 one ...
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In this chapter, we define ar- borescences which are a notion of spanning trees for rooted directed graphs. We will see that a naïve greedy approach no ...
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Dec 31, 2011 · A spanning arborescence with root xi is a spanning tree T of G, with root xi, such that for all j≠i there is a directed path from xj to xi in T.
Missing: ingraphs, outgraphs.
Dec 2, 2019 · The arborescences of a graph rooted at a particular vertex may be encoded as a polynomial A_v(\Gamma) representing the sum of the weights of all such ...
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By Theorem 2.4 the minimal connected spanning subgraphs of a given graph are its spanning trees. ... arborescences (and spanning trees) in capacitated graphs.
Missing: ingraphs, outgraphs.
Apr 19, 2007 · ... arborescence (or just arborescence) is a spanning tree (when viewed as an undirected graph) directed away from r. Thus, in a r-arborescence ...
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An arborescence of a directed graph Γ rooted at a vertex v is a directed spanning tree with edges directed toward v. We denote the sum of the weights of all ...
Nov 11, 2020 · The number of oriented spanning trees rooted at a vertex i is the determinant of the matrix gotten by removing the i-th row and column of Q.
Missing: ingraphs, outgraphs.