36 citations · 61 across the 14 of their papers we have counts for
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cs.DS2006
Max-Cut and Max-Bisection are NP-hard on unit disk graphs
Josep Diaz, Marcin Kaminski
We prove that the Max-Cut and Max-Bisection problems are NP-hard on unit disk graphs. We also show that -precision graphs are planar for > 1 / \sqrt{2}$.
cs.DM2006
Sharp threshold for hamiltonicity of random geometric graphs
J. Diaz, D. Mitsche, X. Perez
We show for an arbitrary norm that the property that a random geometric graph contains a Hamiltonian cycle exhibits a sharp threshold at $r=r(n)=\sqrt{\f…