Title
H-triangles with k interior H-points
Abstract
n H-triangle is a triangle with corners in the set of vertices of a tiling of R^2 by regular hexagons of unit edge. It is known that any H-triangle with exactly 1 interior H-point can have at most 10 H-points on its boundary. In this note we prove that any H-triangle with exactly k interior H-points can have at most 3k+7 boundary H-points. Moreover we form two conjectures dealing with H-polygons.
Year
DOI
Venue
2008
10.1016/j.disc.2007.11.020
Discrete Mathematics
Keywords
Field
DocType
h -point,hexagonal tile,pick’s theorem,triangular lattice,pick's theorem,h -triangle,h-point,pick s theorem,h
Hexagonal lattice,Discrete mathematics,Combinatorics,Polygon,Monad (category theory),Vertex (geometry),Lattice (order),Interior,Pick's theorem,Mathematics,Algebraic interior
Journal
Volume
Issue
ISSN
308
24
Discrete Mathematics
Citations 
PageRank 
References 
0
0.34
5
Authors
2
Name
Order
Citations
PageRank
Xiang-Lin Wei111726.16
Ren Ding2177.18