The Adjacency Matrix of One Type of Directed Graph and the Jacobsthal Numbers and Their Determinantal Representation

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The Adjacency Matrix of One Type of Directed Graph and the Jacobsthal Numbers and Their Determinantal Representation

Recently there is huge interest in graph theory and intensive study on computing integer powers of matrices. In this paper, we consider one type of directed graph. Then we obtain a general form of the adjacency matrices of the graph. By using the well-known property which states the i, j entry of A A is adjacency matrix is equal to the number of walks of length m from vertex i to vertex j, we s...

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ژورنال

عنوان ژورنال: Journal of Applied Mathematics

سال: 2012

ISSN: 1110-757X,1687-0042

DOI: 10.1155/2012/423163