Graceful Labeling of Posets

Abstract The concept of graph labeling was introduced in the mid-1960s by Rosa. In this paper, we introduce a notion of graceful labeling of a finite poset. We obtain graceful labeling of some postes such as a chain, a fence, and a crown. In 2002 Thakare, Pawar, and Waphare introduced the `adjunct' operation of two lattices with respect to an adjunct pair of elements. We obtain the graceful labeling of an adjunct sum of two chains with respect to an adjunct pair (0, 1). AMS Subject Classification 2020: 06A05, 06A06, 05C78