@article{Yoong2022, 
author = {Kooi-Kuan Yoong and Roslan Hasni and Gee-Choon Lau and Muhammad Ahsan Asim and Ali Ahmad},
title = {Reflexive edge strength of convex polytopes and corona product of cycle with path},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {7},
pages = {11784-11800},
keywords = {convex polytope, corona product, edge irregular reflexive labeling, plane graph, reflexive edge strength},
url = {https://www.sciopen.com/article/10.3934/math.2022657},
doi = {10.3934/math.2022657},
abstract = {For a graph    G, we define a total    k-labeling    φ is a combination of an edge labeling        φ    e    (  x  )  →  {  1  ,  2  ,  …  ,      k    e    } and a vertex labeling        φ    v    (  x  )  →  {  0  ,  2  ,  …  ,  2      k    v    }, such that    φ  (  x  )  =      φ    v    (  x  ) if    x  ∈  V  (  G  ) and    φ  (  x  )  =      φ    e    (  x  ) if    x  ∈  E  (  G  ), then    k  =    max    {      k    e    ,  2      k    v    }. The total    k-labeling    φ is an edge irregular reflexive    k-labeling of    G if every two different edges    x  y and        x    ′        y    ′  , the edge weights are distinct. The smallest value    k for which such labeling exists is called a reflexive edge strength of    G. In this paper, we focus on the edge irregular reflexive labeling of antiprism, convex polytopes              D              n      ,              R              n      , and corona product of cycle with path. This study also leads to interesting open problems for further extension of the work.}
}