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Generalized Delaunay Graphs with respect to any Convex Set are Plane Graphs
Generalized Delaunay Graphs Convex Set Plane Graphs
2011/3/3
We consider two types of geometric graphs on point sets on the plane based on a plane set C: one obtained by translates of C, another by positively scaled translates (homothets) of C. For compact and ...
The stochastic reflection problem on an infinite dimensional convex set and BV functions in a Gelfand triple
infinite dimensional convex set BV functions
2010/11/23
In this paper, we introduce a definition of BV functions in a Gelfand triple which is an extension of the definition of BV functions in [1] by using Dirichlet form theory. By this definition, we can c...
The Barrier Cone of a Convex Set and the Closure of the Cover
convex set barrier cone recession cone cover polar cone
2009/1/22
For an arbitrary non-empty closed convex set $A$ in $\mathbb{R}^n$, we prove that the polar of the difference between the barrier cone $\mathbb{B}(A)$ and its interior $\text{int } \mathbb{B} (A)$ co...
Finding the minimize summation for location of facility in a convex set with fuzzy data
Facilities location Norm Linear Programming
2010/9/15
In this paper we first show a model using L1-Norm for locating a facility in a convex set and then we use it for fuzzy data in linear programming problems and especial case of integer linear programmi...