Can Graph Theory Exist Without Visual Graphs?

[tgt]

From the definition of a graph, it doesn'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.

 

[Gib Z]

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...

 

[Invictious]

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.

 

[tgt]

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?