SPECTRUM OF LAPLACE OPERATOR IN STAR METRIC GRAPH
Graph is two tuple consisting of a set of vertices and a set of coresponding edges. An edges represent a relation between two vertices. A metric graph is a graph in which each edge is identified with a closed interval. This indentification allowing us to do analysis on metric graph. This thesis cont...
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id-itb.:299392018-09-19T15:08:02ZSPECTRUM OF LAPLACE OPERATOR IN STAR METRIC GRAPH NERI AGUSTIMA (NIM: 20116030), PILIPUS Indonesia Theses INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/29939 Graph is two tuple consisting of a set of vertices and a set of coresponding edges. An edges represent a relation between two vertices. A metric graph is a graph in which each edge is identified with a closed interval. This indentification allowing us to do analysis on metric graph. This thesis contains a discussion about the spectrum of Laplace operator which defined in an equilaterall star metric graph S_N We will look solutions satisfying Kirchoff condition which is a generalization of Neumann condition. This thesis also contains further work, that is the spectrum of Laplace operator in an equilaterall multistar metric graph (MS) ̃_2 (k_1,0) and (MS) ̃_2 (0,k_2). To find the spectrum, determinant of block matrices plays a seginificant role. text |
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Graph is two tuple consisting of a set of vertices and a set of coresponding edges. An edges represent a relation between two vertices. A metric graph is a graph in which each edge is identified with a closed interval. This indentification allowing us to do analysis on metric graph. This thesis contains a discussion about the spectrum of Laplace operator which defined in an equilaterall star metric graph S_N We will look solutions satisfying Kirchoff condition which is a generalization of Neumann condition. This thesis also contains further work, that is the spectrum of Laplace operator in an equilaterall multistar metric graph (MS) ̃_2 (k_1,0) and (MS) ̃_2 (0,k_2). To find the spectrum, determinant of block matrices plays a seginificant role. |
format |
Theses |
author |
NERI AGUSTIMA (NIM: 20116030), PILIPUS |
spellingShingle |
NERI AGUSTIMA (NIM: 20116030), PILIPUS SPECTRUM OF LAPLACE OPERATOR IN STAR METRIC GRAPH |
author_facet |
NERI AGUSTIMA (NIM: 20116030), PILIPUS |
author_sort |
NERI AGUSTIMA (NIM: 20116030), PILIPUS |
title |
SPECTRUM OF LAPLACE OPERATOR IN STAR METRIC GRAPH |
title_short |
SPECTRUM OF LAPLACE OPERATOR IN STAR METRIC GRAPH |
title_full |
SPECTRUM OF LAPLACE OPERATOR IN STAR METRIC GRAPH |
title_fullStr |
SPECTRUM OF LAPLACE OPERATOR IN STAR METRIC GRAPH |
title_full_unstemmed |
SPECTRUM OF LAPLACE OPERATOR IN STAR METRIC GRAPH |
title_sort |
spectrum of laplace operator in star metric graph |
url |
https://digilib.itb.ac.id/gdl/view/29939 |
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1821995575152738304 |