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graph $G(V,E)$ of order $|V|=p$ and size $|E|=q$ is called super edge-graceful if there is a bijection $f$ from $E$ to $\\{0,\\pm 1,\\pm 2,...,\\pm \\frac{q-1}{2}\\}$ when $q$ is odd and from $E$ to $\\{\\pm 1,\\pm 2,...,\\pm \\frac{q}{2}\\}$ when $q$ is even such that the induced vertex labeling $f^*$ defined by $f^*(x) = \\sum_{xy\\in E(G)}f(xy)$ over all edges $xy$ is a bijection from $V$ to $\\{0,\\pm 1,\\pm 2...,\\pm \\frac{p-1}{2}\\}$ when $p$ is odd and from $V$ to $\\{\\pm 1,\\pm 2,...,\\pm \\frac{p}{2}\\}$ when $p$ is even. \\indent We prove that all paths $P_n$ except $P_2$ and $P_4$ are super edge-graceful.","authors_text":"Dalibor Froncek, Sylwia Cichacz, Wenjie Xu","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.CO","submitted_at":"2008-04-23T05:02:06Z","title":"Super edge-graceful 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