selected publications

• article

  • Closing in on Hill's conjecture.  SIAM Journal on Discrete Mathematics.  33:1261-1276. 2019-01-01
  • Book embeddings of regular graphs.  SIAM Journal on Discrete Mathematics.  29:811-822. 2015-01-01
  • On the Decay of Crossing Numbers of Sparse Graphs.  Journal of Graph Theory.  80:226-251. 2015-01-01
  • Large convex holes in random point sets.  Computational Geometry: Theory and Applications.  46:725-733. 2013-01-01
  • A note on harmonic subgraphs in labelled geometric graphs.  Information Processing Letters.  105:98-102. 2008-01-01
  • An extended lower bound on the number of (≤ k)-edges to generalized configurations of points and the pseudolinear crossing number of Kn.  Journal of Combinatorial Theory. Series A.  115:1257-1264. 2008-01-01
  • The convex hull of every optimal pseudolinear drawing of kn is a triangle.  Australasian Journal of Combinatorics.  38:155-162. 2007-01-01
  • k-Sets, convex quadrilaterals, and the rectilinear crossing number of Kn*.  Discrete and Computational Geometry.  35:671-690. 2006-01-01

• conference paper

  • Large harmonic sets of noncrossing edges for n randomly labeled vertices in convex position.  Random Structures and Algorithms. 105-130. 2007-01-01
  • Improved bounds for the number of (≤ k)-Sets, convex quadrilaterals, and the rectilinear crossing number of Kn.  Lecture Notes in Computer Science. 25-35. 2004-01-01