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» On the Queue Number of Planar Graphs
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70
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ISAAC
2007
Springer
124views Algorithms» more  ISAAC 2007»
15 years 3 months ago
Approximating the Crossing Number of Toroidal Graphs
Abstract. CrossingNumber is one of the most challenging algorithmic problems in topological graph theory, with applications to graph drawing and VLSI layout. No polynomial time con...
Petr Hlinený, Gelasio Salazar
WG
2004
Springer
15 years 3 months ago
Planar Graphs, via Well-Orderly Maps and Trees
The family of well-orderly maps is a family of planar maps with the property that every connected planar graph has at least one plane embedding which is a well-orderly map. We show...
Nicolas Bonichon, Cyril Gavoille, Nicolas Hanusse,...
73
Voted
GD
2007
Springer
15 years 3 months ago
Universal Sets of n Points for 1-Bend Drawings of Planar Graphs with n Vertices
This paper shows that any planar graph with n vertices can be point-set embedded with at most one bend per edge on a universal set of n points in the plane. An implication of this ...
Hazel Everett, Sylvain Lazard, Giuseppe Liotta, St...
83
Voted
DCG
2010
135views more  DCG 2010»
14 years 9 months ago
Universal Sets of n Points for One-bend Drawings of Planar Graphs with n Vertices
This paper shows that any planar graph with n vertices can be point-set embedded with at most one bend per edge on a universal set of n points in the plane. An implication of this...
Hazel Everett, Sylvain Lazard, Giuseppe Liotta, St...
SODA
2000
ACM
121views Algorithms» more  SODA 2000»
14 years 11 months ago
Coloring powers of planar graphs
We give nontrivial bounds for the inductiveness or degeneracy of power graphs Gk of a planar graph G. This implies bounds for the chromatic number as well, since the inductiveness ...
Geir Agnarsson, Magnús M. Halldórsso...