Consider the lexicographically ordered adjacency matrix 0 1 1 1 1 1 1 0 0 0 0 1 1 0 0 0 1 0 1 0 0 0 0 0 0 1 000 1 1 10000 for a graph G with vertex set {a,b,c,d,e,f}. a) Sketch this graph and state the degrees of each of the nodes. b) State, with justification, whether this is a simple graph, or not. A

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the lexicographically ordered adjacency matrix
0
1 1 1 1 1
1
0 0 0 0 1
A
1
0 0 0 1 0
1 0 0 0 0 0
1 0 1 000
0 0 0
1
1 0
for a graph G with vertex set {a,b,c,d,e,f}.
a) Sketch this graph and state the degrees of each of the nodes.
b) State, with justification, whether this is a simple graph, or not.
Transcribed Image Text:Consider the lexicographically ordered adjacency matrix 0 1 1 1 1 1 1 0 0 0 0 1 A 1 0 0 0 1 0 1 0 0 0 0 0 1 0 1 000 0 0 0 1 1 0 for a graph G with vertex set {a,b,c,d,e,f}. a) Sketch this graph and state the degrees of each of the nodes. b) State, with justification, whether this is a simple graph, or not.
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