The Forcing Geodetic Cototal Domination Number of a Graph
Abstract
Let be a geodetic cototal domination set of . A subset is called a forcing subset for if is the unique minimum geodetic cototal domination set containing . The minimum cardinality T is the forcing geodetic cototal domination number of S is denotedby , is the cardinality of a minimum forcing subset of S. The forcing geodetic cototal domination number of ,denoted by , is , where the minimum is takenover all -sets in . Some general properties satisfied by this concept arestudied. It is shown that for every pair of integers with ,there exists a connected graph such that and . where isthe geodetic cototal dominating number of .
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DOI: http://dx.doi.org/10.23755/rm.v44i0.895
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