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- Centre National de la Recherche ScientifiqueFR108 papers
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5 papers · 2 filters
Characterizing forbidden pairs for hamiltonian squares
Guantao Chen, Songling Shan
The square of a graph is obtained by adding additional edges joining all pair of vertices of distance two in the original graph. Particularly, if is a hamiltonian cycle of a gr…
Minimum degree thresholds for bipartite graph tiling
Albert Bush, Yi Zhao
For any bipartite graph , we determine a minimum degree threshold for a balanced bipartite graph to contain a perfect -tiling. We show that this threshold is best possibl…
Edge-connectivity in regular multigraphs from eigenvalues
Suil O
Let be a -regular multigraph, and let be the second largest eigenvalue of . In this paper, we prove that if , then i…
Vizing's 2-factor Conjecture Involving Large Maximum Degree
Guantao Chen, Songling Shan
Let be a connected simple graph of order and let and denote the maximum degree and chromatic index of , respectively. Vizing proved that or $…
Near Perfect Matchings in -uniform Hypergraphs
Jie Han
Let be a -uniform hypergraph on vertices where is a sufficiently large integer not divisible by . We prove that if the minimum -degree of is at least $…