- Does the class of constant-degree expanders have polynomially-long induced paths?
- Planar embedding conjecture — Can every planar graph equipped with an arbitrary shortest-path metric be embedded into L1 with only a constant distortion? 65 more words

- Does the class of constant-degree expanders have polynomially-long induced paths?
- Planar embedding conjecture — Can every planar graph equipped with an arbitrary shortest-path metric be embedded into L1 with only a constant distortion? 65 more words