Open AccessK-metric antidimension of some generalized Petersen graphs
Author(s) -
Jozef Kratica,
Vera Kovačevíc-Vujčić,
Mirjana Čangalović
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1913085k
Subject(s) - mathematics , metric dimension , combinatorics , metric (unit) , discrete mathematics , graph , chordal graph , 1 planar graph , operations management , economics
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 anew 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.