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Homeomorphism (graph theory)

math Maturity 11-13

Think of lines and dots.

Graph subdivision step1.svg
Graph subdivision step1.svg
You can add a dot to a line. This makes a new shape. The shape is still the same. It just looks a bit different. Do you see the dots?
Graph subdivision step2.svg
Graph subdivision step2.svg

41 words
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File:Graph subdivision step1.svg
Graph subdivision step1.svg
File:Graph subdivision step2.svg
Graph subdivision step2.svg
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Graph isomorphism
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Graph isomorphism Graph isomorphism problem Graph automorphism Hamiltonian path

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Kuratowski's theorem Graph homomorphism Hamiltonian path problem Vertex cover
📚 Content adapted from Wikipedia | Readability: FK 13.3 | Vital Level 5