12. Below is an adjacency matrix for an undirected graph. A) Draw this graph. B) Calculate the number of number of faces, vertices and edges. C) Determine the chromatic index of this graph. a b d f g a 0 |0 |0|1 |0 |0|1 b00|1| 1 | 1 | 1 | 0 c|0|1|0 | 1 | 1 | 0 d |111 | 0 |1 |0 1 1|1| 1|0 || 1 1 f010| 0| 1 0 | 1 g|1 |0|0| 1 1 |1 |0

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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12. Below is an adjacency matrix for an undirected graph.
A) Draw this graph.
B) Calculate the number of number of faces, vertices and edges.
C) Determine the chromatic index of this graph.
a b c d e f g
a
0 | 0 | 0 | 1 | 0 | 0 | 1
b|001| 1 |1 | 1 |0
0101| 1 |0 | 0
d | 1 | 1 | 1 | 0 | 1 | 0 | 1
e | 0 |1 | 1 | 1| 0 |1|1
f0|1|0|0 | 1 | 0 | 1
g|1 00 1 | 1 | 1 | 0
Transcribed Image Text:12. Below is an adjacency matrix for an undirected graph. A) Draw this graph. B) Calculate the number of number of faces, vertices and edges. C) Determine the chromatic index of this graph. a b c d e f g a 0 | 0 | 0 | 1 | 0 | 0 | 1 b|001| 1 |1 | 1 |0 0101| 1 |0 | 0 d | 1 | 1 | 1 | 0 | 1 | 0 | 1 e | 0 |1 | 1 | 1| 0 |1|1 f0|1|0|0 | 1 | 0 | 1 g|1 00 1 | 1 | 1 | 0
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