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» Listing all the minimal separators of a 3-connected planar g...
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SIAMDM
2000
59views more  SIAMDM 2000»
13 years 4 months ago
Nonhamiltonian 3-Connected Cubic Planar Graphs
We establish that every cyclically 4-connected cubic planar graph of order at most 40 is hamiltonian. Furthermore, this bound is determined to be sharp and we present all nonhamil...
Robert E. L. Aldred, S. Bau, Derek A. Holton, Bren...
COMPGEOM
2006
ACM
13 years 10 months ago
Plane embeddings of planar graph metrics
Embedding metrics into constant-dimensional geometric spaces, such as the Euclidean plane, is relatively poorly understood. Motivated by applications in visualization, ad-hoc netw...
MohammadHossein Bateni, Mohammad Taghi Hajiaghayi,...
APPROX
2010
Springer
176views Algorithms» more  APPROX 2010»
13 years 6 months ago
Approximation Algorithms for Min-Max Generalization Problems
Abstract. We provide improved approximation algorithms for the minmax generalization problems considered by Du, Eppstein, Goodrich, and Lueker [1]. In min-max generalization proble...
Piotr Berman, Sofya Raskhodnikova
COMPGEOM
2010
ACM
13 years 10 months ago
On degrees in random triangulations of point sets
We study the expected number of interior vertices of degree i in a triangulation of a point set S, drawn uniformly at random from the set of all triangulations of S, and derive va...
Micha Sharir, Adam Sheffer, Emo Welzl