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The Complexity of the Positive Semidefinite Zero Forcing
2014The positive zero forcing number of a graph is a graph parameter that arises from a non-traditional type of graph colouring, and is related to a more conventional version of zero forcing. We establish a relation between the zero forcing and the fast-mixed searching, which implies some NP-completeness results for the zero forcing problem.
Shaun M. Fallat +2 more
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Zero forcing of generalized hierarchical products
Discrete Applied MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sarah E. Anderson, Brenda K. Kroschel
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On Zero Forcing Number of Permutation Graphs
2012Zero forcing number, Z(G), of a graph G is the minimum cardinality of a set S of black vertices (whereas vertices in \(V(G)\!\setminus\!S\) are colored white) such that V(G) is turned black after finitely many applications of “the color-change rule”: a white vertex is converted black if it is the only white neighbor of a black vertex.
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Given a graph G, a set S ⊆ V (G) is called a zero forcing set if repeatedly applying the following colour change rule results in all vertices of G being coloured black: if a black vertex v has exactly one white neighbour u, then u becomes black. The zero forcing number Z(G) is the size of the smallest zero forcing set of G.
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Force Application in Simulated Zero Gravity
Human Factors: The Journal of the Human Factors and Ergonomics Society, 1969Utilizing zero-gravity simulation techniques, six subjects provided basic force exertion data under various conditions of personnel restraints, worksite geometry, and type and direction of forces to be exerted. All data reported were collected with subjects wearing Apollo suits pressurized to 3.5 psig.
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Computational approaches for zero forcing and related problems
European Journal of Operational Research, 2019Illya Hicks, Boris Brimkov
exaly
Effects of vertex degrees on the zero-forcing number and propagation time of a graph
Discrete Applied Mathematics, 2018Illya Hicks
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Extremal values and bounds for the zero forcing number
Discrete Applied Mathematics, 2016Uéverton S Souza +2 more
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Some bounds on the zero forcing number of a graph
Discrete Applied Mathematics, 2018Dieter Rautenbach, Michael Gentner
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