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Hamiltonicity and related properties in $K_{r+1}$-free graphs [PDF]
We prove best-possible edge density conditions sufficient to guarantee traceability, Hamiltonicity, chorded pancyclicity, Hamiltonian-connectedness, $k$-path Hamiltonicity, $k$-Hamiltonicity, $k$-Hamiltonian-connectedness, and $k$-connectedness in $K_{r ...
Kirsch, Rachel, Dawkins, Aleyah
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A Berge cycle of length k in a hypergraph H is a set of k distinct vertices v1, . . . , vk and k distinct edges e1, . . . , ek such that vi, vi+1 ∈ ei for all i (here indices are taken modulo k).
Luo, Ruth
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On the path-connectivity, vertex-pancyclicity, and edge-pancyclicity of crossed cubes
Yang, X., Megson, G.M.
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On vertex-pancyclicity and edge-pancyclicity of the WK-Recursive network
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Node-pancyclicity and edge-pancyclicity of hypercube variants
Information Processing Letters, 2007Chiuyuan Chen, Lih-Hsing Hsu
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Fault-tolerant vertex-pancyclicity of locally twisted cubes
Journal of Parallel and Distributed Computing, 2016Xirong Xu
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Geodesic pancyclicity and balanced pancyclicity of the generalized base- hypercube
Discrete Applied Mathematics, 2012Chien-Hung Huang, Jywe-Fei Fang
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