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A (p,1)-total labelling of a graph G is an assignment of integers to V(G)∪E(G) such that: (i) any two adjacent vertices of G receive distinct integers, (ii) any two adjacent edges of G receive distinct integers, and (iii) a vertex and its incident edge receive integers that differ by at least p in absolute value. The span of a (p,1)-total labelling is the maximum difference between two labels. The...
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