Graph G3 Graph G2 Graph G1 Exactly two of them are line graphs of some other graphs, while the remaining one is

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the following 3 graphs:-

Graph G3
Graph G2
Graph G1
Exactly two of them are line graphs of some other graphs, while the remaining one is
not the line graph of any graph.
Determine which two are line graphs (you can either pick the two correct ones and
explain why there are graphs H1 and H2 such that the two graphs you picked are L(H1)
and L(H2) respectively, or alternatively you can try to find which one graph cannot be
written as a line graph and justify this).
Transcribed Image Text:Graph G3 Graph G2 Graph G1 Exactly two of them are line graphs of some other graphs, while the remaining one is not the line graph of any graph. Determine which two are line graphs (you can either pick the two correct ones and explain why there are graphs H1 and H2 such that the two graphs you picked are L(H1) and L(H2) respectively, or alternatively you can try to find which one graph cannot be written as a line graph and justify this).
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