The metric dimension problem is called navigation problem due to its application to robot navigation in space.Further this concept has wide applications in motion planning,sonar and loran station,and so on.In this pap...
The first author is supported by Fundamental Research Funds for the Central Universi- ties (No. XDJK2013C060), Chongqing Research Program of Application Foundation and Advanced Technology (No. cstc2014jcyjA00028) and Scientific Research Foundation for Doctors of Southwest University (No. SWUl12054). The second author is supported by National Natural Science Foundation of China (No. 11271250).
In this paper, a necessary and sufficient condition is given for a commutative Artinian local ring whose annihilating-ideal graph is a star graph. Also, a complete char- acterization is established for a finite local ...
Let R be a commutative ring and A(R) be the set of ideals with non-zero annihilators. The annihilating-ideal graph of R is defined as the graph AG(R) with the vertex set A(R)* = A(R)/{(0)} and two distinct...