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- W763087543 abstract "Abstract A graph G = ( V , E ) is said to be (k, d)-Skolem graceful if there exists a bijection f : V ( G ) → { 1 , 2 , … , | V | } such that the induced edge labeling g f defined by g f ( u v ) = | f ( u ) − f ( v ) | is a bijection from E to { k , k + d , … , k + ( q − 1 ) d } where k and d are positive integers. Such a labeling f is called a (k, d)-Skolem graceful labeling of G. In this paper, we present a few basic results on (k, d)-Skolem graceful graphs. We prove that n K 2 is (2, 1)-Skolem graceful if and only if n ≡ 0 or 3 ( mod 4 ) , which produces the Langford sequence L ( 2 , n ) ." @default.
- W763087543 created "2016-06-24" @default.
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- W763087543 date "2015-07-01" @default.
- W763087543 modified "2023-09-27" @default.
- W763087543 title "On (k, d)-Skolem Graceful Graphs" @default.
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- W763087543 doi "https://doi.org/10.1016/j.endm.2015.05.012" @default.
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