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The secure domination number of Cartesian products of small graphs with paths and cycles
Discrete Applied Mathematics, 2022Michael Haythorpe, Alexander Newcombe
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Gracefulness of replicated paths and cycles
Ars Comb., 1999The replicated graph of a graph can be obtained as follows: replace any vertex by a stable (independent) set of an arbitrary nonzero size and join these individual sets by complete bipartite graphs if the origin vertices were joined by an edge. It is shown that nontrivial replicated paths and some replicated cycles are graceful.
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Anti-Ramsey Numbers of Paths and Cycles in Hypergraphs
SIAM Journal on Discrete Mathematics, 2020Yongtang Shi, Jiaao Li, Ran Gu
exaly
The g-Extra Connectivity of the Strong Product of Paths and Cycles
Symmetry, 2022Yingzhi Tian, Tian Yingzhi
exaly
Degree Conditions for the Existence of Vertex-Disjoint Cycles and Paths: A Survey
Graphs and Combinatorics, 2018Shuya Chiba, Tomoki Yamashita
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Identifying codes and locating–dominating sets on paths and cycles
Discrete Applied Mathematics, 2011Zhengke Miao, Changhong Lu
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On Hamiltonian alternating cycles and paths
Computational Geometry: Theory and Applications, 2018CARLOS Seara +2 more
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The Ramsey indexes of paths and cycles
International Journal of Computer Mathematics: Computer Systems TheoryRitabrato Chatterjee, Ping Zhang
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