Abstract
Las Vergnas (CR Acad Sci Paris Sér A 272:1297–1300, 1971), and Broersma and Tuinstra (J Graph Theory 29:227–237, 1998) independently investigated a degree sum condition for a graph to have a spanning tree whose number of leaves is restricted. In this paper, we obtain the bipartite analogy of this result.
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References
Broersma, H., Tuinstra, H.: Independence trees and Hamilton cycles. J. Graph Theory. 29, 227–237 (1998)
Kano, M., Matsuda, H., Tsugaki, M., Yan, G.: Spanning \(k\)-ended trees of bipartite graphs. Discrete Math. 313, 2903–2907 (2013)
Las Vergnas, M.: Sur une propriété des arbres maximaux dans un graphe. CR Acad. Sci. Paris Sér A. 272, 1297–1300 (1971)
Ore, O.: Hamilton connected graph. J. Math. Pures. Appl. 42, 21–27 (1963)
Matsubara, R., Matsumura, H., Tsugaki, M., Yamashita, T.: Degree sum conditions for path-factors with specified end vertices in bipartite graphs. Discrete Math. 340, 87–95 (2017)
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The author would like to thank Professor Tomoki Yamashita and the referees for their valuable comments and suggestions.
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Tsugaki, M. A note on a spanning \((\alpha ,\beta )\)-ended tree in a bipartite graph. Graphs and Combinatorics 34, 693–701 (2018). https://doi.org/10.1007/s00373-018-1906-8
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DOI: https://doi.org/10.1007/s00373-018-1906-8