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Questions about the properties of vector spaces and linear transformations, including linear systems in general.

1 vote
0 answers
126 views

Algebraic structures on graphs

There are many algebraic structures linked to graphs. For example one can find zero divisor graphs $[1]$, $[2]$ and many other graphs. Does there exist any survey paper which characterizes all th …
Charlotte's user avatar
  • 444
9 votes
3 answers
3k views

What happens to eigenvalues when edges are removed?

I am stuck at the following : Let $G$ be a graph and $A$ is its adjacency matrix. Let the eigenvalues of $A$ be $\lambda_1\le \lambda_2\leq \cdots \leq \lambda_n$. If we remove some edges from the …
Charlotte's user avatar
  • 444
0 votes
1 answer
257 views

Survey papers on spectral radius [closed]

Let $M$ be a $n\times n$ matrix. Are there any survey papers which give lower and upper bounds on its spectral radius? What are the ways to find some lower bounds and upper bounds on $\rho(M)$ excep …
Charlotte's user avatar
  • 444