Name
Abstract | ||
|---|---|---|
A set Z of vertices of a graph G is a zero forcing set of G if initially labeling all vertices in Z with 0 and all remaining vertices of G with 1, and then, iteratively and as long as possible, changing the label of some vertex u from 1 to 0 if u is the only neighbor with label 1 of some vertex with label 0, results in all vertices of G having label 0. The zero forcing number Z(G), defined as the minimum order of a zero forcing set of G, was proposed as an upper bound of the corank of matrices associated with G, and was also considered in connection with quantum physics and logic circuits. In view of the computational hardness of the zero forcing number, upper and lower bounds are of interest. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1016/j.dam.2017.11.015 | Discrete Applied Mathematics |
Keywords | Field | DocType |
Zero forcing | Discrete mathematics,Combinatorics,Vertex (geometry),Upper and lower bounds,Matrix (mathematics),Harmonic number,Omega,Degree (graph theory),Connectivity,Conjecture,Mathematics | Journal |
Volume | Issue | ISSN |
236 | C | 0166-218X |
Citations | PageRank | References |
5 | 0.59 | 5 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Michael Gentner | 1 | 22 | 4.46 |
| Dieter Rautenbach | 2 | 946 | 138.87 |