Abstract

AbstractA strongly harmonious labeling is the nonmodular version of a harmonious labeling. The windmill graph K(t)n is the graph consisting of t copies of the complete graph Kn with a vertex in common. It is shown that, for t ≥ 1, K(t)n is strongly harmonious and so harmonious by drawing on partitions already available from the construction of cyclic neofields. Other irregular windmill graphs can be shown to be strongly harmonious in a similar way.

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