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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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/29939 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | 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. |
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