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You are here		www.jeremykun.com A Spectral Analysis of Moore Graphs \| Math Programming
\|	\|	stephenmalina.com Linear Algebra Done Right - Chapter 5 - Stephen Malina	1.6 parsecs away Travel
\|	\|	Selected Exercises # 5.A # 12. Define $ T \in \mathcal L(\mathcal P_4(\mathbf{R})) $ by $$ (Tp)(x) = xp'(x) $$ for all $ x \in \mathbf{R} $. Find all eigenvalues and eigenvectors of $ T $. Observe that, if $ p = a_0 + a_1 x + a_2 x^2 + a_3 x^3 + a_4 x^4 $, then $$ x p'(x) = a_1 x + 2 a_2 x^2 + 3 a_3 x^3 + 4 a_4 x^4.	1.6 parsecs away Travel
\|	\|	lucatrevisan.wordpress.com The spectrum of the infinite tree \| in theory	2.6 parsecs away Travel
\|	\|	The spectral norm of the infinite $latex {d}&fg=000000$-regular tree is $latex {2 \sqrt {d-1}}&fg=000000$. We will see what this means and how to prove it. When talking about the expansion of random graphs, abobut the construction of Ramanujan expanders, as well as about sparsifiers, community detection, and several other problems, the number $latex {2 \sqrt{d-1}}&fg=000000$...	2.6 parsecs away Travel
\|	\|	yufeizhao.com Graphs with high second eigenvalue multiplicity	2.4 parsecs away Travel
\|	\|	How high can the second eigenvalue multiplicity of a connected bounded degree graph get?	2.4 parsecs away Travel
\|	\|	mariejosephine.wordpress.com the birds and the bees has just moved	31.6 parsecs away Travel
\|		THE BIRDS AND THE BEES HAS JUST MOVED TO http://gabrielacurraleira.wordpress.com	31.6 parsecs away Travel