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- W2733992891 abstract "A sum graph G is a graph with a mapping of the vertex set of G onto a set of positive integers S in such a way that two vertices of G are adjacent if and only if the sum of their labels is an element of S. In an exclusive sum graph the integers of S that are the sum of two other integers of S form a set of integers that label a collection of isolated vertices associated with the graph G. A graph bears a k-exclusive sum labelling (abbreviated k-ESL), if the set of isolated vertices is of cardinality k. In this paper, observing that the property of having a k-ESL is hereditary, we provide a characterisation of graphs that have a k-exclusive sum labelling, for any k≥1, in terms of describing a universal graph for the property." @default.
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- W2733992891 date "2017-07-01" @default.
- W2733992891 modified "2023-10-15" @default.
- W2733992891 title "Characterisation of Graphs with Exclusive Sum Labelling" @default.
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- W2733992891 doi "https://doi.org/10.1016/j.endm.2017.06.012" @default.
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