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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Main Author: NERI AGUSTIMA (NIM: 20116030), PILIPUS
Format: Theses
Language:Indonesia
Online Access:https://digilib.itb.ac.id/gdl/view/29939
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Institution: Institut Teknologi Bandung
Language: Indonesia
id id-itb.:29939
spelling 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
institution Institut Teknologi Bandung
building Institut Teknologi Bandung Library
continent Asia
country Indonesia
Indonesia
content_provider Institut Teknologi Bandung
collection Digital ITB
language Indonesia
description 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
_version_ 1821995575152738304