A function with domain and range are respectively the edge set of graph and natural number up to , and a function with domain and range are respectively the vertex set of graph and the even natural number up to are called a total -labeling where . The total -labeling of graph by the condition that every two different edges have different weight is called an edge irregular reflexive -labeling, where for any edge , the weight is . The reflexive edge strength of the graph , denoted by is the minimum for graph which has an edge irregular reflexive -labelling. In this study, we obtained the of graphs which their vertex degrees show an almost regularity properties.
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| http://dx.doi.org/10.1016/j.heliyon.2021.e06991 | DOI Listing |
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