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arxiv: 1303.5527 · v1 · pith:WVBMV4IFnew · submitted 2013-03-22 · 🧮 math.CO

Signless laplacian characteristic polynomials of regular graph transformations

classification 🧮 math.CO
keywords laplaciansignlesscharacteristicgraphpolynomialsregulartransformationsvertices
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Let $G$ be a simple $r$-regular graph with $n$ vertices and $m$ vertices. We give the signless Laplacian characteristic polynomials of $xyz$-transformations $G^{xyz}$ of $G$ in terms of $n$, $m$, $r$ and the signless Laplacian spectrum of $G$.

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