|Title:||K-metric antidimension of some generalized petersen graphs||Journal:||Filomat||Volume:||33||Issue:||13||First page:||4085||Last page:||4093||Issue Date:||1-Jan-2019||Rank:||M22||ISSN:||0354-5180||DOI:||10.2298/FIL1913085K||Abstract:||
Resistance of social graphs to active attacks is a very important feature which must be maintained in the modern networks. Recently introduced k-metric antidimension graph invariant is used to define a new measure for resistance of social graphs. In this paper we have found and proved the k-metric antidimension for generalized Petersen graphs GP(n, 1) and GP(n, 2). It is proven that GP(2m+1, 1) and GP(8, 2) are 2-metric antidimensional, while all other GP(n, 1) and GP(n, 2) graphs are 3-metric antidimensional.
|Keywords:||Generalized Petersen graphs | Graph theory | K-metric antidimension||Publisher:||Faculty of Sciences and Mathematics, University of Niš||Project:||Mathematical Modelas and Optimization Methods on Large-Scale Systems
Graph theory and mathematical programming with applications in chemistry and computer science
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