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- W2068852548 abstract "A graceful labeling of a graph G with q edges is an injective assignment of labels from {0, 1, . . . , q} to the vertices of G so that when each edge is assigned the absolute value of the difference of the vertex labels it connects, the resulting edge labels are distinct. A labeling of the first kind for coronas $${C_n odot K_1}$$ occurs when vertex labels 0 and q = 2n are assigned to adjacent vertices of the n-gon. A labeling of the second kind occurs when q = 2n is assigned to a pendant vertex. Previous research has shown that all coronas $${C_n odot K_1}$$ have a graceful labeling of the second kind. In this paper we show that all coronas $${C_n odot K_1}$$ with $${n equiv 3, 4, {rm (mod, 8)}}$$ also have a graceful labeling of the first kind." @default.
- W2068852548 created "2016-06-24" @default.
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- W2068852548 date "2013-02-05" @default.
- W2068852548 modified "2023-10-06" @default.
- W2068852548 title "A new graceful labeling for pendant graphs" @default.
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- W2068852548 doi "https://doi.org/10.1007/s00010-012-0184-4" @default.
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