WEIGHT REDISTRIBUTION ON SIMPLY CONNECTED GRAPHS WITH SYMMETRIC SCHEME

This thesis is an investigation of linear and iterative weight redistribution on sim- ply connected graphs. Averaging is one special case of redistribution. Linear local averaging is related to the discrete Laplace operator on graphs. The convergence criteria of the scheme is dened by spectral pr...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Rodiah, Isti
التنسيق: Theses
اللغة:Indonesia
الموضوعات:
الوصول للمادة أونلاين:https://digilib.itb.ac.id/gdl/view/33877
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الوصف
الملخص:This thesis is an investigation of linear and iterative weight redistribution on sim- ply connected graphs. Averaging is one special case of redistribution. Linear local averaging is related to the discrete Laplace operator on graphs. The convergence criteria of the scheme is dened by spectral properties of the linear map. We develop successive symmetric local averaging scheme to ensure the monotony of iteration. In the end we show that the only redistribution possible on simply connected graphs is the averaging.