Abstract
In this chapter, we consider the reduction of a graph-like manifold to the underlying quantum graph model.We treat here only star-shaped graphs., i.e., a graph with one central vertex v and deg v-many edges \(e\,\,\epsilon\,\,{E}_{v} = E\) attached. The case of general graphs and their graph-likemanifolds will be treated in Chap. 7.
Keywords
- Quadratic Form
- Boundary Component
- Warped Product
- Vertex Neighbourhood
- Star Graph
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© 2011 Springer-Verlag Berlin Heidelberg
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Post, O. (2011). Plumber’s Shop: Estimates for Star Graphs and Related Spaces. In: Spectral Analysis on Graph-like Spaces. Lecture Notes in Mathematics(), vol 2039. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23840-6_6
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DOI: https://doi.org/10.1007/978-3-642-23840-6_6
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-23839-0
Online ISBN: 978-3-642-23840-6
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