Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Shiping Liu"'
Publikováno v:
Annales Henri Poincaré. 21:1489-1516
We study magnetic Schrödinger operators on graphs. We extend the notion of sparseness of graphs by including a magnetic quantity called the frustration index. This notion of magnetic-sparseness turns out to be equivalent to the fact that the form do
Publikováno v:
Mathematische Nachrichten, 2021, Vol.294(6), pp.1134-1139 [Peer Reviewed Journal]
In this article we prove upper bounds for the Laplace eigenvalues $\lambda_k$ below the essential spectrum for strictly negatively curved Cartan-Hadamard manifolds. Our bound is given in terms of $k^2$ and specific geometric data of the manifold. Thi
We classify all cubic graphs with either non-negative Ollivier-Ricci curvature or non-negative Bakry-Émery curvature everywhere. We show in both curvature notions that the non-negatively curved graphs are the prism graphs and the Möbius ladders. We
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ff97d87d521ca5af34b3bc2cd39294a9
https://trepo.tuni.fi/handle/10024/126846
https://trepo.tuni.fi/handle/10024/126846
Publikováno v:
SIAM Journal on Discrete Mathematics
SIAM journal on discrete mathematics, 2019, Vol.33(1), pp.257-305 [Peer Reviewed Journal]
SIAM journal on discrete mathematics, 2019, Vol.33(1), pp.257-305 [Peer Reviewed Journal]
We study the eigenvalues of the connection Laplacian on a graph with an orthogonal group or unitary group signature. We establish higher order Buser type inequalities, i.e., we provide upper bounds for eigenvalues in terms of Cheeger constants in the
Autor:
Shiping Liu, Norbert Peyerimhoff
Publikováno v:
Combinatorics, probability and computing, 2018, Vol.27(5), pp.829-850 [Peer Reviewed Journal]
We derive an optimal eigenvalue ratio estimate for finite weighted graphs satisfying the curvature-dimension inequalityCD(0, ∞). This estimate is independent of the size of the graph and provides a general method to obtain higher-order spectral est
Autor:
Jinde Xu, Shiping Liu
Publikováno v:
Communications in Algebra. 46:1959-1970
We study Auslander–Reiten components of an artin algebra with bounded short cycles, namely, there exists a bound for the depths of maps appearing on short cycles of non-zero non-invertible maps between modules in the given component. First, we give
Autor:
Raymundo Bautista, Shiping Liu
Publikováno v:
Journal of Algebra. 482:303-345
Let Λ be an elementary locally bounded linear category over a field with radical squared zero. We shall show that the bounded derived category D b ( Mod b Λ ) of finitely supported left Λ -modules admits a Galois covering which is the bounded deri
Autor:
Shiping Liu, Charles Paquette
Publikováno v:
Mathematische Zeitschrift. 286:197-222
We call a 2-Calabi–Yau triangulated category a cluster category if its cluster-tilting subcategories form a cluster structure as defined in Buan et al. (Compos Math 145:1035–1079, 2009). In this paper, we show that the canonical orbit category of
Autor:
Norbert Peyerimhoff, Florentin Münch, Supanat Kamtue, Jack H. Koolen, David Cushing, Shiping Liu
Publikováno v:
Advances in mathematics, 2020, Vol.360, pp.107188 [Peer Reviewed Journal]
We introduce the notion of Bonnet-Myers and Lichnerowicz sharpness in the Ollivier Ricci curvature sense. Our main result is a classification of all self-centered Bonnet-Myers sharp graphs (hypercubes, cocktail party graphs, even-dimensional demi-cub
Publikováno v:
SIAM journal on discrete mathematics, 2018, Vol.32(2), pp.1408-1424 [Peer Reviewed Journal]
We study the Ollivier--Ricci curvature of graphs as a function of the chosen idleness. We show that this idleness function is concave and piecewise linear with at most three linear parts, and at most two linear parts in the case of a regular graph. W
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c14b2c20c3d589ec0bcb87887e882602
https://doi.org/10.1137/17m1134469
https://doi.org/10.1137/17m1134469