On the number of paths of length 5 in a graph

20150104 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 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. 
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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), 3051. https://doi.org/10.14419/ijamr.v4i1.3874Received date: 20141118
Accepted date: 20141215
Published date: 20150104