Strongly Regular Graphs with Parameters (4m^4, 2m^4 + m^2, m^4 + m^2, m^4 + m2) Exist for All m>1

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Strongly regular graphs with parameters (4m4, 2m4+m2, m4+m2, m4+m2) exist for all m>1

Using results on Hadamard difference sets, we construct regular graphical Hadamard matrices of negative type of order 4m4 for every positive integerm. Ifm > 1, such a Hadamard matrix is equivalent to a strongly regular graph with parameters (4m4, 2m4 + m2,m4 + m2,m4 + m2). Strongly regular graphs with these parameters have been called max energy graphs, because they have maximal energy (as defi...

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European Journal of Combinatorics

Using results on Hadamard difference sets, we construct regular graphical Hadamard matrices of negative type of order 4m4 for every positive integerm. Ifm > 1, such a Hadamard matrix is equivalent to a strongly regular graph with parameters (4m4, 2m4 + m2,m4 + m2,m4 + m2). Strongly regular graphs with these parameters have been called max energy graphs, because they have maximal energy (as defi...

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ژورنال

عنوان ژورنال: SSRN Electronic Journal

سال: 2008

ISSN: 1556-5068

DOI: 10.2139/ssrn.1287093