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» The number of convex permutominoes
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IANDC
2008
76views more  IANDC 2008»
14 years 9 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»
14 years 9 months ago
A Closed Formula for the Number of Convex Permutominoes
Filippo Disanto, Andrea Frosini, Renzo Pinzani, Si...
SIAMDM
2010
130views more  SIAMDM 2010»
14 years 7 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
15 years 2 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»
14 years 9 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...