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IANDC
2008
76views more  IANDC 2008»
13 years 4 months ago
The number of convex permutominoes
Permutominoes are polyominoes defined by suitable pairs of permutations. In this paper we provide a formula to count the number of convex permutominoes of given perimeter. To this ...
Paolo Boldi, Violetta Lonati, Roberto Radicioni, M...
COMBINATORICS
2007
74views more  COMBINATORICS 2007»
13 years 4 months ago
A Closed Formula for the Number of Convex Permutominoes
Filippo Disanto, Andrea Frosini, Renzo Pinzani, Si...
SIAMDM
2010
130views more  SIAMDM 2010»
13 years 3 months ago
On the Hull Number of Triangle-Free Graphs
A set of vertices C in a graph is convex if it contains all vertices which lie on shortest paths between vertices in C. The convex hull of a set of vertices S is the smallest conve...
Mitre Costa Dourado, Fábio Protti, Dieter R...
COMPGEOM
2004
ACM
13 years 10 months ago
The number of lines tangent to arbitrary convex polyhedra in 3D
We prove that the lines tangent to four possibly intersecting convex polyhedra in   3 with n edges in total form Θ(n2 ) connected components in the worst case. In the generic ca...
Hervé Brönnimann, Olivier Devillers, V...
CORR
2002
Springer
93views Education» more  CORR 2002»
13 years 4 months ago
On the Reflexivity of Point Sets
We introduce a new measure for planar point sets S that captures a combinatorial distance that S is from being a convex set: The reflexivity (S) of S is given by the smallest numb...
Esther M. Arkin, Sándor P. Fekete, Ferran H...