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Spanning trees with bounded degrees

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Abstract

Lets andk be positive integers. We prove that ifG is ak-connected graph containing no independent set withks+2 vertices thenG has a spanning tree with maximum degree at mosts+1. Moreover ifs≥3 and the independence number α(G) is such that α(G)≤1+k(s−1)+c for some0≤c≤k thenG has a spanning tree with no more thanc vertices of degrees+1.

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References

  1. V. Chvátal, andP. Erdős: A note on Hamiltonian Paths,Discrete Mathematics,2 (1972), 111–113.

    Google Scholar 

  2. S. Win: On a conjecture of Las Vergnas Concerning Certain Spanning Trees in Graphs,Resultate der Mathematik,2, 215–224.

  3. S. Win: Existenz von Gerüsten mit Vorgeschriebenem Maximalgrad in Graphen,Abhandlungen Aus dem Mathematischen Seminar der Universität Hamburg,43 (1975), 263–267.

    Google Scholar 

  4. M. A. Gurgel, andY. Wakabayashi: Onk-leaf-connected graphs,Journal of Combinatorial Theory, Series B41 (1986), 1–16.

    Google Scholar 

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Authors and Affiliations

  1. Departamento de Matematicas, Universidad Autonoma Metropolitana, Av. Michoacàn y La Purísima, Col. Vicentina, Iztapalapa, 09340, Mexico, D. F.

    Victor Neumann-Lara

  2. Instituto de Matemáticas, U. N. A. M. Circuito Exterior, C. U., 04510, Mexico, D. F.

    Eduardo Rivera-Campo

Authors
  1. Victor Neumann-Lara
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  2. Eduardo Rivera-Campo
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Neumann-Lara, V., Rivera-Campo, E. Spanning trees with bounded degrees. Combinatorica 11, 55–61 (1991). https://doi.org/10.1007/BF01375473

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  • DOI: https://doi.org/10.1007/BF01375473

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