Decomposition of Product Path Graphs Into Graceful Graphs
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Abstract
A decomposition of is a collection such that are edge disjoint and every edge in belongs to. If each is a graceful graph, then is called a graceful decomposition of. The minimum cardinality of a graceful decomposition of is called the graceful decomposition number of and it is denoted by In this paper, we define graceful decomposition and graceful decomposition number of a graphs. Also, some bounds of in product graphs like Cartesian product, composition etc. are investigated.
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