Abstract

This article introduces complex Hadamard graphs and studies their properties. Using the complete subgraphs of these complex Hadamard graphs, complex Hadamard matrices of order n are generated, where n is a multiple of four. An algorithm to construct strongly regular graphs with n 2 vertices using complex Hadamard matrices of order n is also discussed in this article. MAGMA codes to construct the adjacency matrices of these strongly regular graphs are also developed.

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