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Link to original content: https://doi.org/10.1007/s00373-008-0809-5
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Degree Condition for Subdivisions of Unicyclic Graphs

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Abstract

If H is any graph of order n with k non-trivial components, each of which contains at most one cycle, then every graph of order at least n and minimum degree at least n − k contains a subdivision of H such that only edges contained in a cycle in H are subdivided.

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References

  1. Brandt, S.: Subtrees and Subforests of Graphs. J. Combin Theory Ser. B 61, 63–70 (1994)

    Google Scholar 

  2. Corrádi, K., Hajnal, A.: On the Maximal Number of Independent Circuits in a Graph. Acta Math. Acad. Sci. Hungar. 14, 423–439 (1963)

    Google Scholar 

  3. Enomoto, H.: On the Existence of Disjoint Cycles in a Graph. Combinatorica 18, 487–492 (1998)

    Google Scholar 

  4. Schuster, G.W.: A Minimum Degree Result for Disjoint Cycles and Forests in Graphs. Combinatorica 18, 425–436 (1998)

    Google Scholar 

  5. Bondy, J.A.: Paths and Cycles, Handbook of Combinatorics, Vol. 1, Chapter 1, Ed. R.L. Graham, M. Grotschel and L. Lovász (Elsevier, Amsterdam, 1995)

  6. Bondy, J.A., Murty, U.S.R.: Graph Theory with Applications. (North Holland, New York, 1976)

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Authors and Affiliations

  1. Department of Computer Science and Engineering, Indian Institute of Technology Bombay, Powai, Mumbai, 400076, India

    Ch. Sobhan Babu & Ajit A. Diwan

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  1. Ch. Sobhan Babu
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  2. Ajit A. Diwan
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Correspondence to Ch. Sobhan Babu.

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Babu, C.S., Diwan, A.A. Degree Condition for Subdivisions of Unicyclic Graphs. Graphs and Combinatorics 24, 495–509 (2008). https://doi.org/10.1007/s00373-008-0809-5

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  • DOI: https://doi.org/10.1007/s00373-008-0809-5

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