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DM
2002
186views more  DM 2002»
13 years 7 months ago
Coloring Eulerian triangulations of the projective plane
A simple characterization of the 3, 4, or 5-colorable Eulerian triangulations of the projective plane is given. Key words: Projective plane, triangulation, coloring, Eulerian grap...
Bojan Mohar
JCT
2007
142views more  JCT 2007»
13 years 7 months ago
Graphs that triangulate a given surface and quadrangulate another surface
We show that for any closed surface F with χ(F) −4 (or χ(F) −2), there exist graphs that triangulate the torus or the Klein bottle (or the projective plane) and that quadran...
Yusuke Suzuki
WADS
2007
Springer
165views Algorithms» more  WADS 2007»
14 years 1 months ago
A Near Linear Time Approximation Scheme for Steiner Tree Among Obstacles in the Plane
We present a polynomial-time approximation scheme (PTAS) for the Steiner tree problem with polygonal obstacles in the plane with running time O(n log2 n), where n denotes the numb...
Matthias Müller-Hannemann, Siamak Tazari
IEICET
2011
13 years 2 months ago
Generation of Symmetric and Asymmetric Biconnected Rooted Outerplanar Graphs
In a rooted graph, a vertex is designated as its root. An outerplanar graph is represented by a plane embedding such that all vertices appear along its outer boundary. Two differ...
Bingbing Zhuang, Hiroshi Nagamochi
ISSAC
2007
Springer
146views Mathematics» more  ISSAC 2007»
14 years 1 months ago
Fast and exact geometric analysis of real algebraic plane curves
An algorithm is presented for the geometric analysis of an algebraic curve f(x, y) = 0 in the real affine plane. It computes a cylindrical algebraic decomposition (CAD) of the pla...
Arno Eigenwillig, Michael Kerber, Nicola Wolpert