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In this note, we use the Lopez-Ros deformation introduced in [9] to show that any embedded genus-one helicoid must be symmetric with respect to rotation by 180 degrees around a normal line. This part...
We prove that if positive integer p-surgery along a knot K  S3 produces an L-space and it bounds a sharp 4-manifold, then the knot genus obeys the bound 2g(K) 􀀀 1  p􀀀p 3p + 1:Moreo...
The strong embedding conjecture states that any 2-connected graph has a strong embedding on some surface. It implies the circuit double cover conjecture: Any 2-connected graph has a circuit double cov...
It is shown that the lower bound on the maximum genus of a 3-edge connected loopless graph is at least one-third of its cycle rank. Moreover, this lower bound is tight. There are infinitely such graph...

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