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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