Sentence examples for resolving set for from inspiring English sources

The metric dimension μ is the smallest size of a resolving set for Γ.

A resolving set for a graph Γ is a collection of vertices S, chosen so that for each vertex v, the list of distances from v to the members of S uniquely specifies v.

A set of vertices S in a graph G is a resolving set for G if, for any two vertices u,v, there exists x∈S such that the distances d u,x ≠d v,x).

In this paper, we consider the Johnson graphs J n,k) and Kneser graphs K n,k), and obtain various constructions of resolving sets for these graphs.

Also, Central America became the first regional conflict of the Cold War era that the United States and the Soviet Union under Mikhail Gorbachev worked together to resolve, setting the stage for further breakthroughs in U.S.-Soviet relations.

Although he returned all the documents, Albano said the matter of Rodriguez allegedly breaking the law by taking the documents in the first place still had not been resolved, setting the stage for a jury trial July 18 in Los Angeles County Superior Court.

As well as general constructions, we show that various interesting combinatorial objects can be used to obtain resolving sets in these graphs, including (for Johnson graphs) projective planes and symmetric designs, as well as (for Kneser graphs) partial geometries, Hadamard matrices, Steiner systems and toroidal grids.

Ms. Daly said that the commission had surveyed 196 buildings in the Morningside Heights area from May 1996 to January 1997 and that it was currently revisiting the proposal, although no timetable has been set for resolving the matter.

It also said talks with church officials "continue in a positive vein" and that no deadline has been set for resolving the deadlock over Noriega's refuge.

We compare the efficacy of a UCE-based phylogenomic data set to that of a high-quality nuclear-gene data set for resolving phylogenetic relationships and obtaining divergence estimates within formicine ants.

We then use these combined results to investigate (i) the power of each data set for resolving the phylogeny of the subfamily Formicinae and (ii) the evolutionary and biogeographic history of the subfamily.