On the number of paths of length 5 in a graph

  • Authors

    • Nazanin Movarraei ph.D student of University of Pune, India.
    • Samina Abbas Boxwala HOD of department of Mathematics, Nowrosjee Wadia College, Pune
    2015-01-04
    https://doi.org/10.14419/ijamr.v4i1.3874
  • Adjacency Matrix, Cycle, Graph Theory, Path, Subgraph, Walk.

  • Abstract

    n this paper, we obtain an explicit formula for the total number of paths of length 5 in a simple graph G. We also determine some formulae for the number of paths of length 5  each of which starts from a specific vertex \(v_{i}\) and for the number of \(v_{i}-v_{j}\) paths of length 5  in a simple graph G, in terms of the adjacency matrix and with the help of combinatorics.

  • References

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  • How to Cite

    Movarraei, N., & Boxwala, S. A. (2015). On the number of paths of length 5 in a graph. International Journal of Applied Mathematical Research, 4(1), 30-51. https://doi.org/10.14419/ijamr.v4i1.3874

    Received date: 2014-11-18

    Accepted date: 2014-12-15

    Published date: 2015-01-04