Can Graph Theory Exist Without Visual Graphs?

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From the definition of a graph, it dosen't mention anything about a pictorial graph. Things are only dealt with set wise so it is possible to do graph theory without graphs? It would be extremely unnatural though.
 
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Yes it is possible to do graph theory without pictures. Modern mathematics has a desire to take things away from pictures and move it into algebra, which is a shame really. Entire textbooks go without a single diagram these days...
 
Gib Z said:
Yes it is possible to do graph theory without pictures. Modern mathematics has a desire to take things away from pictures and move it into algebra, which is a shame really. Entire textbooks go without a single diagram these days...

I find it the opposite, I think that modern mathematics is growing more pictorial. Now every single explanation has a graph to go with it, and textbooks usually more graphs than ever, since the theory is more developed, with new aspects on calculus etc.
 
Gib Z said:
Yes it is possible to do graph theory without pictures. Modern mathematics has a desire to take things away from pictures and move it into algebra, which is a shame really. Entire textbooks go without a single diagram these days...

Have you done graph theory with pictures?
 

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