Results 11 to 20 of about 9,755 (179)
Matroid theory and Chern–Simons [PDF]
Journal of Mathematical Physics, 2000 It is shown that matroid theory may provide a natural mathematical framework for a duality symmetries not only for quantum Yang–Mills physics, but also for M-theory. Our discussion is focused in an action consisting purely of the Chern–Simons term, but in principle the main ideas can be applied beyond such an action. In our treatment the theorem due to
Nieto, J. A., Marín, M. C.
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Information hiding using matroid theory
Advances in Applied Mathematics, 2021 Inspired by problems in Private Information Retrieval, we consider the setting where two users need to establish a communication protocol to transmit a secret without revealing it to external observers. This is a question of how large a linear code can be, when it is required to agree with a prescribed code on a collection of coordinate sets.
Kuznetsova, Olga, Freij-Hollanti, Ragnar
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Searching for a Connection Between Matroid Theory and String Theory [PDF]
, 2002 We make a number of observations about matter-ghost string phase, which may eventually lead to a formal connection between matroid theory and string theory.
Achucarro +59 more
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Isotropical Linear Spaces and Valuated Delta-Matroids [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 The spinor variety is cut out by the quadratic Wick relations among the principal Pfaffians of an $n \times n$ skew-symmetric matrix. Its points correspond to $n$-dimensional isotropic subspaces of a $2n$-dimensional vector space.
Felipe Rincón
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The moduli space of matroids [PDF]
, 2018 In the first part of the paper, we clarify the connections between several algebraic objects appearing in matroid theory: both partial fields and hyperfields are fuzzy rings, fuzzy rings are tracts, and these relations are compatible with the respective ...
Baker, Matthew, Lorscheid, Oliver
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Phase Transition as an Emergent Phenomenon Analysed by Violation of Structural Invariant (M, BM)
Mendel, 2020 When modeling complex systems, we usually encounter the following difficulties: partiality, large amounts of data and uncertainty of conclusions. The most common approach used for modeling is the physical approach, sometimes reinforced by statistical ...
Jiri Bila, Ali H Reshak, Jan Chysky
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Abstract 3-Rigidity and Bivariate $C_2^1$-Splines I: Whiteley's Maximality Conjecture
Discrete Analysis, 2022 3-Rigidity and Bivariate $C_2^1$-Splines I: Whiteley's Maximality Conjecture, Discrete Analysis 2022:2, 50 pp. Suppose one realizes a graph $G$ by taking its vertex set to be a set of points $x_1,\dots,x_n$ in $\mathbb R^d$ and the edge joining $x_i$ to
Katie Clinch +2 more
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Two-Layer Network Caching for Different Service Requirements
Future Internet, 2021 Network caching is a technique used to speed-up user access to frequently requested contents in complex data networks. This paper presents a two-layer overlay network caching system for content distribution.
Gianluca Reali, Mauro Femminella
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Renormalization group-like proof of the universality of the Tutte polynomial for matroids [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 In this paper we give a new proof of the universality of the Tutte polynomial for matroids. This proof uses appropriate characters of Hopf algebra of matroids, algebra introduced by Schmitt (1994). We show that these Hopf algebra characters are solutions
G. Duchamp +3 more
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Covering-Based Rough Sets on Eulerian Matroids
Journal of Applied Mathematics, 2013 Rough set theory is an efficient and essential tool for dealing with vagueness and granularity in information systems. Covering-based rough set theory is proposed as a significant generalization of classical rough sets.
Bin Yang, Ziqiong Lin, William Zhu
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