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- W4377004998 abstract "For a graph $G=(V, E)$, a bijection $g$ from $V(G) cup E(G)$ into ${1,2, ldots,|V(G)|+|E(G)|}$ is called $(a, d)$-edge-antimagic graceful labeling of $G$ if the edge-weights $w(x y)=|g(x)+g(y)-g(x y)|, x y in E(G)$, form an arithmetic progression starting from $a$ and having a common difference $d$. An $(a, d)$-edge-antimagic graceful labeling is called super $(a, d)$-edge-antimagic graceful if $g(V(G))={1,2, ldots,|V(G)|}$. Note that the notion of super $(a, d)$-edge-antimagic graceful graphs is a generalization of the article G. Marimuthu and $mathrm{M}$. Balakrishnan, Super edge magic graceful graphs, Inf.Sci.287( 2014)140-151, since super $(a, 0)$-edge-antimagic graceful graph is a super edge magic graceful graph.We study super $(a, d)$-edge-antimagic graceful properties of certain classes of graphs, including complete graphs and complete bipartite graphs." @default.
- W4377004998 created "2023-05-19" @default.
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- W4377004998 date "2015-07-01" @default.
- W4377004998 modified "2023-09-29" @default.
- W4377004998 title "Super edge-antimagic graceful labeling of graphs" @default.
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- W4377004998 doi "https://doi.org/10.26637/mjm303/010" @default.
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