Title : ( Fractional k-clique metric dimension of (edge) corona products of graphs )
Authors: Zeinab Shahmiri , Darko Dimitrov , Mostafa Tavakoli ,
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Abstract
LetGbe a graph, and letXandYbe two cliques ofG. A vertexv∈V(G)resolvesXandYifdG(v, X)̸=dG(v, Y), wheredG(v, X)(ordG(v, Y)) is the number of edges ona shortest path betweenvandX(orvandY) inG. The subset of all vertices that resolvethe pair{X, Y}is denoted byRG{X, Y}. A real valued functiong:V(G)→[0,1]is ak-clique resolving function ofGifPv∈RG{X,Y}g(v)≥1for every pair of distinctk-cliquesXandYofG. The fractionalk-clique metric dimension ofGis defined ask-cdimf(G) =min{|g|:gis ak-clique resolving function ofG}, where|g|=Pv∈V(G)g(v). In thispaper, we introduce and study the fractionalk-clique metric dimension of graphs. We alsodeterminek-cdimfof (edge) corona products of graphs.
Keywords
, Fractionalk-clique metric dimension, k-clique metric dimension, corona product, edgecorona product
@article{paperid:1107365,
author = {Shahmiri, Zeinab and دارکو دیمیترو and Tavakoli, Mostafa},
title = {Fractional k-clique metric dimension of (edge) corona products of graphs},
journal = {The Art of Discrete and Applied Mathematics},
year = {2026},
volume = {9},
number = {3},
month = {April},
issn = {2590-9770},
pages = {1--12},
numpages = {11},
keywords = {Fractionalk-clique metric dimension;k-clique metric dimension; corona product; edgecorona product},
}
%0 Journal Article
%T Fractional k-clique metric dimension of (edge) corona products of graphs
%A Shahmiri, Zeinab
%A دارکو دیمیترو
%A Tavakoli, Mostafa
%J The Art of Discrete and Applied Mathematics
%@ 2590-9770
%D 2026
