13 12. 'a) Let G be a graph with the following adjacency matrix [o o o 07 0 0 0 1 0 0 0 1 01 1 Is Ga tree? Justify your answer. (b) Let T be a spanning tree of the complete bipartite graph K7,s. 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.

Advanced Engineering Mathematics
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ISBN:9780470458365
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13
12.
'a) Let G be a graph with the following adjacency matrix
[o o o 07
0 o 0 1
A =
0 0 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.
Transcribed Image Text:13 12. 'a) Let G be a graph with the following adjacency matrix [o o o 07 0 o 0 1 A = 0 0 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.
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