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Results tagged with spectral-graph-theory
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user 19075
Questions related to the spectrum of graphs, defined using one of the possible variants of the discrete Laplace operator or Laplacian matrix. See https://en.wikipedia.org/wiki/Discrete_Laplace_operator
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Lower bound for the difference between the maximum eigenvalue of a graph with the one of the...
I have proposed very recently a question in the following link concerning the title of the current question:
Difference of the maximum eigenvalue of a graph with the one of one-edge-deleted subgraph
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- 3,738
2
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answer
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Eigenvalues of a graph and its one-edge-delation graph
Let $G$ be any graph with at least one edge and let $e$ be any edge of $G$. Let $G-e$ denote the subgraph of $G$ obtained by deletion of the edge $e$. Assume that $G$ has $n$ vertices.
Suppose …
- 3,738