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53 Questions

Votes Activity Newest Views
3
13
votes
3
answers
3k
views

What is a “Ramanujan Graph”?

co.combinatorics graph-theory sp.spectral-theory spectral-graph-theory
May 31 '15 at 18:27 Community♦ 1
2
11
votes
3
answers
713
views

Are these three different notions of a graph Laplacian?

graph-theory real-analysis sp.spectral-theory spectral-graph-theory laplacian
Dec 2 '14 at 5:31 Richard Zhang 550
 
9
votes
0
answers
158
views

Is there a ``Ladner's Theorem" for the PH-vs-PSPACE scenario?

polynomials computational-complexity model-theory formal-languages
Mar 4 '15 at 21:43 user6818 1,785
2
8
votes
1
answer
444
views

Are there exactly solvable CFTs?

rt.representation-theory mp.mathematical-physics quantum-field-theory conformal-field-theory virasoro-algebra
Feb 12 '16 at 15:30 Abdelmalek Abdesselam 17.3k
7
8
votes
6
answers
2k
views

What is a branched Riemann surface with cuts?

ag.algebraic-geometry algebraic-curves riemann-surfaces quantum-field-theory string-theory
Jul 10 '13 at 12:14 Andrew D. Hwang 266
 
7
votes
2
answers
246
views

What methods do we have to understand the spectrum of matrices with restricted entries?

reference-request linear-algebra matrices additive-combinatorics convex-optimization
May 22 '15 at 4:11 Community♦ 1
1
7
votes
2
answers
444
views

Constructing Ramanujan graphs from elliptic curves

ag.algebraic-geometry reference-request algebraic-number-theory spectral-graph-theory expander-graphs
Apr 8 '15 at 17:51 Igor Rivin 92.2k
3
7
votes
1
answer
902
views

When are (Abelian) Cayley graphs also expanders?

gr.group-theory graph-theory computational-complexity spectral-graph-theory expander-graphs
Mar 8 '15 at 12:37 Sebi Cioaba 421
4
6
votes
2
answers
478
views

Do perfect matching(s) have signatures in the graph eigenvalues?

graph-theory sp.spectral-theory spectral-graph-theory algebraic-graph-theory
May 14 '18 at 12:53 Nick Ulyanov 25
1
5
votes
2
answers
521
views

Matching polynomials and Ramanujan graphs

graph-theory sp.spectral-theory spectral-graph-theory matching-theory expander-graphs
Apr 22 '20 at 23:24 bah 1
 
5
votes
0
answers
205
views

What do we know about isospectral Cayley graphs?

gr.group-theory rt.representation-theory graph-theory lie-groups isospectrality
Oct 27 '16 at 0:32 emiliocba 1,804
1
5
votes
1
answer
119
views

How does one go from convexity to submodularity?

discrete-geometry linear-programming convex-optimization nonlinear-optimization nonlinear-eigenvalue
Sep 8 '16 at 8:42 Undertherainbow 111
4
5
votes
1
answer
520
views

Proof of the general expression for anomaly in a CFT and its partition function

dg.differential-geometry riemannian-geometry quantum-field-theory string-theory conformal-geometry
Aug 28 '13 at 23:11 Rafe Mazzeo 1,944
1
4
votes
1
answer
517
views

About using the character formula for $SO(2n)$

rt.representation-theory lie-groups mp.mathematical-physics lie-algebras physics
Mar 1 at 10:21 Glorfindel 2,260
 
4
votes
0
answers
526
views

Can one integrate around a branch-cut?

fa.functional-analysis cv.complex-variables complex-geometry real-analysis
Oct 16 '15 at 7:23 user6818 1,785
 
4
votes
3
answers
395
views

Reference request about the representations of the group $PSL_2(\mathbb{F}_q)$

reference-request rt.representation-theory lie-groups projective-geometry
Apr 19 '15 at 4:34 Amritanshu Prasad 5,174
1
4
votes
0
answers
550
views

Is there a method to simultaneously block-diagonalize a set of group matrices?

fa.functional-analysis rt.representation-theory linear-algebra matrices determinants
Mar 15 '15 at 21:17 user6818 1,785
 
4
votes
0
answers
472
views

The Bilu-Linial conjecture and Ramanujan graphs

nt.number-theory graph-theory sp.spectral-theory spectral-graph-theory expander-graphs
Jan 11 '15 at 7:38 user6818 1,785
 
3
votes
1
answer
219
views

Can we count isospectral graphs?

graph-theory fourier-analysis sp.spectral-theory isospectrality
Feb 24 '16 at 13:01 Community♦ 1
3
3
votes
1
answer
985
views

What are Euler density and Weyl invariants?

dg.differential-geometry riemannian-geometry quantum-field-theory conformal-field-theory conformal-geometry
Jun 4 '15 at 20:25 Community♦ 1
1
3
votes
1
answer
238
views

About the second largest adjacency eigenvalue of Abelian Cayley graphs

gr.group-theory rt.representation-theory graph-theory spectral-graph-theory
Mar 17 '15 at 1:24 user6818 1,785
1
3
votes
0
answers
223
views

About the small set expansion conjecture

fa.functional-analysis graph-theory real-analysis computational-complexity spectral-graph-theory
Mar 9 '15 at 23:24 user6818 1,785
2
3
votes
1
answer
402
views

The Fuchsian monodromy problem

riemann-surfaces quantum-field-theory string-theory fuchsian-groups monodromy
Jun 8 '14 at 11:32 Community♦ 1
 
2
votes
1
answer
497
views

Some identities with the Riemann-Hurwitz zeta function

algebraic-number-theory analytic-number-theory riemann-zeta-function quantum-field-theory renormalization
Jul 4 '16 at 3:39 Community♦ 1
 
2
votes
1
answer
823
views

About distinct eigenvalues of a graph

linear-algebra polynomials sp.spectral-theory spectral-graph-theory
Aug 26 '15 at 21:47 Sebi Cioaba 421
3
2
votes
5
answers
2k
views

About adding a negative definite rank-1 matrix to a symmetric matrix

linear-algebra matrices sp.spectral-theory determinants
Jul 6 '15 at 19:39 M. Lin 1,678
1
2
votes
1
answer
403
views

Is there some quantitative version of interlacing of eigenvalues of a matrix under rank-1 update?

fa.functional-analysis linear-algebra graph-theory convex-optimization spectral-graph-theory
May 30 '15 at 21:40 Dustin G. Mixon 6,456
 
2
votes
2
answers
395
views

Is anything known about the eigenspectrum of the regular representation of the permutation group?

reference-request rt.representation-theory matrices finite-groups unitary-representations
Apr 25 '15 at 0:44 Community♦ 1
1
2
votes
0
answers
170
views

Real-rooted polynomials and higher rank matrices

ag.algebraic-geometry cv.complex-variables polynomials real-algebraic-geometry multilinear-algebra
Feb 19 '15 at 18:18 Community♦ 1
1
2
votes
1
answer
148
views

Laplacian spectrum of $2-$lifts of graphs

linear-algebra graph-theory sp.spectral-theory spectral-graph-theory
Jan 15 '15 at 4:02 Chris Godsil 11.7k
1
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