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Generalized connectivity of some total graphs

Yinkui Li; Yaping Mao; Zhao Wang; Zongtian Wei — 2021

Czechoslovak Mathematical Journal

We study the generalized $k$ -connectivity $κ_{k} (G)$ as introduced by Hager in 1985, as well as the more recently introduced generalized $k$ -edge-connectivity $λ_{k} (G)$ . We determine the exact value of $κ_{k} (G)$ and $λ_{k} (G)$ for the line graphs and total graphs of trees, unicyclic graphs, and also for complete graphs for the case $k = 3$ .

Some properties of solutions for a class of metaparabolic equations.

Liu, Changchun; Guan, Yujing; Wang, Zhao — 2010

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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