'a) Let G be a graph with the following adjacency matrix fo o o 0] 0 0 0 1 A = 00 0 1 01 1 Is Ga tree? Justify your answer. (b) Let T be a spanning tree of the complete bipartite graph Krs. How many edges are in T? (c) Let A be the adjacency matrix of a tree on n vertices. Find the sum of the entries in A. Your answer should be in terms of n.
'a) Let G be a graph with the following adjacency matrix fo o o 0] 0 0 0 1 A = 00 0 1 01 1 Is Ga tree? Justify your answer. (b) Let T be a spanning tree of the complete bipartite graph Krs. How many edges are in T? (c) Let A be the adjacency matrix of a tree on n vertices. Find the sum of the entries in A. Your answer should be in terms of n.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 74EQ
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