# 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
• Adjacency Matrix, Cycle, Graph Theory, Path, Subgraph, Walk.
• 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 Â each of which starts from a specific vertex \(v_{i}\) and for the number of \(v_{i}-v_{j}\) paths of length 5 Â in a simple graph G, in terms of the adjacency matrix and with the help of combinatorics.
• ## References

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