Strongly Regular Graphs with Parameters (4m4, 2m4 + m2, m4 + m2, m4 + m2) Exist for All m>1

التفاصيل البيبلوغرافية
العنوان: Strongly Regular Graphs with Parameters (4m4, 2m4 + m2, m4 + m2, m4 + m2) Exist for All m>1
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