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GD
2005
Springer
14 years 2 months ago
Odd Crossing Number Is Not Crossing Number
The crossing number of a graph is the minimum number of edge intersections in a plane drawing of a graph, where each intersection is counted separately. If instead we count the nu...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
CAGD
2000
61views more  CAGD 2000»
13 years 8 months ago
Efficient evaluation of triangular B-spline surfaces
Evaluation routines are essential for any application that uses triangular B-spline surfaces. This paper describes an algorithm to efficiently evaluate triangular B-spline surface...
Michael Franssen, Remco C. Veltkamp, Wieger Wessel...
JGT
2006
99views more  JGT 2006»
13 years 8 months ago
On the circular chromatic number of circular partitionable graphs
This paper studies the circular chromatic number of a class of circular partitionable graphs. We prove that an infinite family of circular partitionable graphs have
Arnaud Pêcher, Xuding Zhu
ARSCOM
2004
124views more  ARSCOM 2004»
13 years 8 months ago
The Domatic Number of Regular Graphs
The domatic number of a graph G is the maximum number of dominating sets into which the vertex set of G can be partitioned. We show that the domatic number of a random r-regular g...
Peter Dankelmann, Neil J. Calkin
ISAAC
2007
Springer
124views Algorithms» more  ISAAC 2007»
14 years 2 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