On super vertex-graceful unicyclic graphs |
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Authors: | Sin-Min Lee Elo Leung Ho Kuen Ng |
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Institution: | (1) Department of Computer Science, San Jose State University, San Jose, California, 95192, U.S.A.;(2) Department of Mathematics, San Jose State University, San Jose, California, 95192, U.S.A. |
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Abstract: | A graph G with p vertices and q edges, vertex set V(G) and edge set E(G), is said to be super vertex-graceful (in short SVG), if there exists a function pair (f, f
+) where f is a bijection from V(G) onto P, f
+ is a bijection from E(G) onto Q, f
+((u, v)) = f(u) + f(v) for any (u, v) ∈ E(G), and
We determine here families of unicyclic graphs that are super vertex-graceful.
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Keywords: | graceful edge-graceful super edge-graceful super vertex-graceful amalga-mation trees unicyclic graphs |
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