تقرير
Strongly Regular Graphs with Parameters (4m4, 2m4 + m2, m4 + m2, m4 + m2) Exist for All m>1
العنوان: | Strongly Regular Graphs with Parameters (4m4, 2m4 + m2, m4 + m2, m4 + m2) Exist for All m>1 |
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المؤلفون: | Haemers, W.H., Xiang, Q. |
المصدر: | Haemers , W H & Xiang , Q 2008 ' Strongly Regular Graphs with Parameters (4m4, 2m4 + m2, m4 + m2, m4 + m2) Exist for All m >1 ' CentER Discussion Paper , vol. 2008-86 , Operations research , Tilburg . |
بيانات النشر: | Operations research |
سنة النشر: | 2008 |
المجموعة: | Tilburg University: Research portal |
مصطلحات موضوعية: | Cayley graph, difference set, energy of a graph, Hadamard matrix, regular Hadamard matrix, strongly regular graph, Seidel switching |
الوصف: | Using results on Hadamard difference sets, we construct regular graphical Hadamard matrices of negative type of order 4m4 for every positive integer m. If m > 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 defined by Gutman) among all graphs on 4m4 vertices. For odd m>3 the strongly regular graphs seem to be new. |
نوع الوثيقة: | report |
وصف الملف: | application/pdf |
اللغة: | English |
العلاقة: | https://research.tilburguniversity.edu/en/publications/56d51040-321c-445d-97b2-aeaa418597dfTest |
الإتاحة: | https://research.tilburguniversity.edu/en/publications/56d51040-321c-445d-97b2-aeaa418597dfTest https://pure.uvt.nl/ws/files/1033117/2008-86.pdfTest |
حقوق: | info:eu-repo/semantics/restrictedAccess |
رقم الانضمام: | edsbas.1D1A6873 |
قاعدة البيانات: | BASE |
الوصف غير متاح. |