Results 41 to 50 of about 7,890,386 (291)
Regularity and projective dimension of the edge ideal of â‚…-free vertex decomposable graphs [PDF]
, 2013 In this paper, we explain the regularity, projective dimension and depth of edge ideal of some classes of graphs in terms of invariants of graphs. We show that for a C5-free vertex decomposable graph G, reg(R/I(G)) = cG, where cG is the maximum number of
F. Khosh-Ahang, S. Moradi
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Projective toric designs, quantum state designs, and mutually unbiased bases [PDF]
QuantumToric $t$-designs, or equivalently $t$-designs on the diagonal subgroup of the unitary group, are sets of points on the torus over which sums reproduce integrals of degree $t$ monomials over the full torus.
Joseph T. Iosue +3 more
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Bounding the projective dimension of a squarefree monomial ideal via domination in clutters [PDF]
, 2013 We introduce the concept of edgewise domination in clutters, and use it to provide an upper bound for the projective dimension of any squarefree monomial ideal. We then compare this bound to a bound given by Faltings.
Hailong Dao, Jay Schweig
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Homomorphisms of planar signed graphs to signed projective cubes [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We conjecture that every signed graph of unbalanced girth 2g, whose underlying graph is bipartite and planar, admits a homomorphism to the signed projective cube of dimension 2g1.
Reza Naserasr +2 more
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Topological transitivity of the normalized maps induced by linear operators
Applied General Topology, 2022 In this article, we provide a simple geometric proof of the following fact: The existence of transitive normalized maps induced by linear operators is possible only when the underlying space's real dimension is either 1 or 2 or infinity. A similar result
Pabitra Narayan Mandal
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Projective Dimension of String and Cycle Hypergraphs [PDF]
, 2013 We present a closed formula and a simple algorithmic procedure to compute the projective dimension of square-free monomial ideals associated to string or cycle hypergraphs. As an application, among these ideals we characterize all the Cohen–Macaulay ones.
Kuei-Nuan Lin, P. Mantero
semanticscholar +1 more source
Projective complex matrix factorization for facial expression recognition
EURASIP Journal on Advances in Signal Processing, 2018 In this paper, a dimensionality reduction method applied on facial expression recognition is investigated. An unsupervised learning framework, projective complex matrix factorization (proCMF), is introduced to project high-dimensional input facial images
Viet-Hang Duong +6 more
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Super finitely presented modules and Gorenstein projective modules
, 2015 Let $R$ be a commutative ring. An $R$-module $M$ is said to be super finitely presented if there is an exact sequence of $R$-modules $\cdots\rightarrow P_n\rightarrow\cdots \rightarrow P_1\rightarrow P_0\rightarrow M\rightarrow 0$ where each $P_i$ is ...
Kim, Hwankoo, Qiao, Lei, Wang, Fanggui
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On Presented Dimensions of Modules and Rings
International Journal of Mathematics and Mathematical Sciences, 2010 We define the presented dimensions for modules and rings to measure how far away a module is from having an infinite finite presentation and develop ways to compute the projective dimension of a module with a finite presented dimension and the right ...
Dexu Zhou, Zhiwei Gong
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An Euler characteristic for modules of finite {G}-dimension
, 2006 We extend Auslander and Buchsbaum's Euler characteristic from the category of finitely generated modules of finite projective dimension to the category of modules of finite G-dimension using Avramov and Martsinkovsky's notion of relative Betti numbers ...
Sather-Wagstaff, Sean, White, Diana
core +4 more sources