5. There are two special types of vertices of interest for digraphs. A vertex that is not an initial vertex (tail) of any edge, i.e., one with no "arrows" leading away from it, is called a sink. A source is a vertex that is not a terminal vertex (head) of any edge. Show that every acyclic digraph has at least one sink and at least one source.
5. There are two special types of vertices of interest for digraphs. A vertex that is not an initial vertex (tail) of any edge, i.e., one with no "arrows" leading away from it, is called a sink. A source is a vertex that is not a terminal vertex (head) of any edge. Show that every acyclic digraph has at least one sink and at least one source.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 80EQ
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Transcribed Image Text:5. There are two special types of vertices of interest for digraphs. A vertex that is not an initial
vertex (tail) of any edge, i.e., one with no "arrows" leading away from it, is called a sink. A
source is a vertex that is not a terminal vertex (head) of any edge.
Show that every acyclic digraph has at least one sink and at least one source.
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