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The Sun graph is determined by its signless Laplacian spectrum.

Mirzakhah, Maryam; Kiani, Dariush — 2010

ELA. The Electronic Journal of Linear Algebra [electronic only]

Even factor of bridgeless graphs containing two specified edges

Nastaran Haghparast; Dariush Kiani — 2018

Czechoslovak Mathematical Journal

An even factor of a graph is a spanning subgraph in which each vertex has a positive even degree. Let $G$ be a bridgeless simple graph with minimum degree at least $3$ . Jackson and Yoshimoto (2007) showed that $G$ has an even factor containing two arbitrary prescribed edges. They also proved that $G$ has an even factor in which each component has order at least four. Moreover, Xiong, Lu and Han (2009) showed that for each pair of edges $e_{1}$ and $e_{2}$ of $G$ , there is an even factor containing $e_{1}$ and $e_{2}$ in which each...

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