Signed and Minus Dominating Functions in Graphs
For an arbitrary subset Y of the integers, a Y -dominating function of a graph G = (V, E) is an integer-valued function f : V → Y such that the sum of its function values over any closed neighborhood is at least 1, i.e., ∑u ∈ N[v]f(u) ≥ 1 for each v ∈ V .
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Teresa W. Haynes Stephen T. Hedetniemi Michael A. Henning Editors
Topics in Domination in Graphs
Developments in Mathematics Volume 64
Series Editors Krishnaswami Alladi, Department of Mathematics, University of Florida, Gainesville, FL, USA Pham Huu Tiep, Department of Mathematics, Rutgers University, Piscataway, NJ, USA Loring W. Tu, Department of Mathematics, Tufts University, Medford, MA, USA
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Teresa W. Haynes • Stephen T. Hedetniemi Michael A. Henning Editors
Topics in Domination in Graphs
Editors Teresa W. Haynes Department of Mathematics and Statistics East Tennessee State University Johnson City, TN, USA Department of Mathematics and Applied Mathematics University of Johannesburg Johannesburg, South Africa
Stephen T. Hedetniemi School of Computing Clemson University Clemson, SC, USA Michael A. Henning Department of Mathematics and Applied Mathematics University of Johannesburg Johannesburg, South Africa
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