1. Consider the directed acyclic graph (DAG) D shown below. (a) Write down the adjacency matrix A corresponding to the ordering of the vertices given by alphabetical order: a, b, c, d, e, f, g.
1. Consider the directed acyclic graph (DAG) D shown below. (a) Write down the adjacency matrix A corresponding to the ordering of the vertices given by alphabetical order: a, b, c, d, e, f, g.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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
Transcribed Image Text:1. Consider the directed acyclic graph (DAG) D shown below.
(a) Write down the adjacency matrix A corresponding to the ordering of the vertices
given by alphabetical order: a, b, c, d, e, f, g.
(b) Find all permutations of the set of vertices {a, b, c, d, e, ƒ, g} such that the asso-
ciated adjacency matrix is strictly lower triangular.
(c) Find the number of spanning trees rooted at vertex g.
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