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Note on a relation between Randic index and algebraic connectivity
Randi´ c index algebraic connectivity edge connectivity diameter
2011/2/24
A conjecture of AutoGraphiX on the relation between the Randi´c index R and the algebraic connectivity a of a connected graph G is:R a n − 3 + 2p2 2 ! / 2(1 − cos n ) with ...
A note on the $O_q(\hat{sl_2})$ algebra
Current algebra q− Onsager algebra Quantum integrable models
2011/2/25
An explicit homomorphism that relates the elements of the infinite dimensional non-Abelian
algebra generating Oq(csl2) currents and the standard generators of the q−Onsager algebra is proposed....
Let A be an affine algebra of dimension d>3 over the field k, where k is the algebraic closure of the finite field Z/pZ, where p\geq d. Let P be a projective A-module of rank d-1. Then P is cancellati...
A Note on Singular Moduli Spaces of Sheaves on K3 Surfaces
Singular Moduli Spaces K3 Surfaces
2010/11/24
This paper studies deformations and birational maps between singular moduli spaces of semistable sheaves with 2-divisible Mukai vectors on K3 surfaces. It is showed that under certain conditions, two...
A Note on Formality and Singularities of Moduli Spaces
Formality Singularities Moduli Spaces
2010/11/24
This paper studies formality of the differential graded algebra $RHom(E,E)$, where $E$ is a semistable sheaf on a K3 surface. The main tool is Kaledin's theorem on formality in families. For a large ...
A note on Gaussian correlation inequalities for nonsymmetric sets
Gaussian correlation inequalities nonsymmetric sets
2010/11/23
We consider the Gaussian correlation inequality for nonsymmetric convex sets. More precisely, if $A\subset\mathbb{R}^d$ is convex and the origin $0\in A$, then for any ball $B$ centered at the origin...
A note on V-binomials recurrence for Lucas companion to $U_n$ sequence $V_n$
V-binomials recurrence Lucas companion
2010/11/19
The looked for V-binomials recurrence for Lucas companion to $U_n$ sequence $V_n$ is delivered
A Note on a Problem of J. Galambos
Oppenheim series expansion Restricted Oppenheim series expansion Lüroth series Hausdorff dimension
2010/2/25
For any x\in (0,1], letx = \frac{1}{d1} + \frac{a1}{b1} \frac{1}{d2} + ··· + \frac{a1a2 ··· an}{b1b2 ··· bn} \frac{1}{dn+1} + ··· be the Oppenheim series expansion of x. In this paper, we investigate ...