109 reputation
13
bio website stackexchange.com/users/…
location Endor
age
visits member for 4 years, 5 months
seen 6 hours ago

Useful links:

$\hskip1.7in$ enter image description here

My favorites are:

and I believe that Riemann's Hypothesis is true...

Questions waiting for your answer: $\phantom{If math isn't displayed correctly, go here...}$

Old Stuff:

Chuck Norris solved the Travelling Salesman problem in $O(1)$ time.


Jarrell: I thought you said to stay on the path!
Old Man: Yes, but you must know when to break the rules!


Mathematics (SE) should be the most comprehensive, most visited, and most valuable mathematics resource on the web. I don't see a reason to shoot for anything less. [Amen]


From Area51:


7h
revised An Expression for $\log\zeta(ns)$ derived from the Limit of the truncated Prime $\zeta$ Function
added 31 characters in body
May
21
comment Cycling through the Zeta Garden: Zeta functions for graphs, cycle index polynomials, and determinants
Sorry for my narrow focus. Maybe the naming of the matrices kinda confused me...
May
19
awarded  Excavator
May
19
revised Cycling through the Zeta Garden: Zeta functions for graphs, cycle index polynomials, and determinants
added \operatorname
May
19
revised Cycling through the Zeta Garden: Zeta functions for graphs, cycle index polynomials, and determinants
added \operatorname
May
19
suggested approved edit on Cycling through the Zeta Garden: Zeta functions for graphs, cycle index polynomials, and determinants
May
19
suggested approved edit on Cycling through the Zeta Garden: Zeta functions for graphs, cycle index polynomials, and determinants
May
19
comment Cycling through the Zeta Garden: Zeta functions for graphs, cycle index polynomials, and determinants
I see. But shouldn't then bettter write $N_m = tr[(W_1)_n^m]$ like in Terras' paper?
May
18
comment Cycling through the Zeta Garden: Zeta functions for graphs, cycle index polynomials, and determinants
Is this why your "Ihara" zeta function deals with backtracking (resp. powers of $A$) and neither mine nor M. Horton's Definition (Def. 2.7.: The closed path counting function $N_m$ is the number of closed paths $C$ of length $m$ in $G$ without backtracking or tails.) does? I think that it's related to Chebychev polynomials...
May
18
awarded  Commentator
May
18
comment Cycling through the Zeta Garden: Zeta functions for graphs, cycle index polynomials, and determinants
Hi again. Why do you say $\operatorname{det}(I-tA_n)$ and not $ \zeta_G(u) = \frac{(1-t^2)^{\chi(G)-1}}{\det(I - At + (k-1)t^2I)} $ like in Wiki:Ihara $\zeta$ function? Forgetting the inverse for the moment...
Apr
30
comment cospectral graphs
The Google search just returns your question to me...
Sep
24
awarded  Autobiographer
Sep
10
comment Asymptotic density of k-almost primes
@TheMaskedAvenger or martin: could you post a link to the ArXiv paper?
May
9
comment Ihara zeta and chromatic number of graphs
Dear Chris, when the IZF for regular graphs is defined via the spectrum of the adjacency matrix, how could this help to get IZF from Chebycheff Polynomials?
May
9
comment Cycling through the Zeta Garden: Zeta functions for graphs, cycle index polynomials, and determinants
Tom, I'm confused. I thought the $N_m$ are closed loops without back tracking. But your formula the calculate it just uses powers of $A_n$ which includes backtracking. I got a nice answer by Chris Godsil, that shows a way to get returning paths without backtracking. It is linked to the question I referenced above...
May
9
revised Cycling through the Zeta Garden: Zeta functions for graphs, cycle index polynomials, and determinants
latex missing
May
9
suggested approved edit on Cycling through the Zeta Garden: Zeta functions for graphs, cycle index polynomials, and determinants
May
9
revised Cycling through the Zeta Garden: Zeta functions for graphs, cycle index polynomials, and determinants
typo and link
May
9
suggested approved edit on Cycling through the Zeta Garden: Zeta functions for graphs, cycle index polynomials, and determinants