It was claimed in several works that some of these objects induce a decomposition in which a neutral region must exist, but no proof has been given to this ...

Aug 17, 2012 · It seems intuitively clear that each point in the space belongs to at least one of the regions, i.e., no neutral region can exist. As simple ...

This work presents a simple necessary and sufficient condition ensuring the non-existence of a neutral region in a given space and shows that this assertion ...

It seems intuitively clear that each point in the space belongs to at least one of the regions, i.e., no neutral region can exist. However, in general this is ...

It seems intuitively clear that each point in the space belongs to at least one of the regions, i.e., no neutral region can exist. However, in general this is ...

It seems intuitively clear that each point in the space belongs to at least one of the regions, i.e., no neutral region can exist. As simple counterexamples ...

TL;DR: In this article, a necessary and sufficient condition for the non-existence of a neutral region in the Euclidean plane is presented, based on the ...

It also shows that this region can be used to justify the interpretation of a zone diagram as a certain equilibrium between mutually hostile opponents. The ...

Bibliographic details on On the Existence of a Neutral Region.

On the existence of a neutral region. By Daniel Reem. Consider a given space, e.g., the Euclidean plane, and its decomposition into Voronoi regions induced by ...