Results 21 to 30 of about 196,827 (283)
The Discrete Fundamental Group of the Associahedron [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 The associahedron is an object that has been well studied and has numerous applications, particularly in the theory of operads, the study of non-crossing partitions, lattice theory and more recently in the study of cluster algebras.
Christopher Severs, Jacob White
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Systems, 2023 The Curriculum Sequencing (CS) problem is a challenging task to tackle in the field of online teaching and learning system development. The current methods of education management might still possess certain drawbacks that would cause ineffectiveness and
Xiaojing Sheng +3 more
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The biHecke monoid of a finite Coxeter group and its representations [PDF]
, 2012 For any finite Coxeter group W, we introduce two new objects: its cutting poset and its biHecke monoid. The cutting poset, constructed using a generalization of the notion of blocks in permutation matrices, almost forms a lattice on W.
Albert +14 more
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Cryptanalysis of a homomorphic public-key cryptosystem over a finite group
Journal of Mathematical Cryptology, 2007 The paper cryptanalyses a public-key cryptosystem recently proposed by Grigoriev and Ponomarenko, which encrypts an element from a fixed finite group defined in terms of generators and relations to produce a ciphertext from .
Choi Su-Jeong +2 more
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The Robinson―Schensted Correspondence and $A_2$-webs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 The $A_2$-spider category encodes the representation theory of the $sl_3$ quantum group. Kuperberg (1996) introduced a combinatorial version of this category, wherein morphisms are represented by planar graphs called $\textit{webs}$ and the subset of ...
Matthew Housley +2 more
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A Combinatorial Theorem in Group Theory [PDF]
Mathematics of Computation, 1975 There is an anti-Ramsey theorem for inhomogeneous linear equations over a field, which is essentially due to R. Rado [2]. This theorem is generalized to groups to get sharper quantitative and qualitative results. For example, it is shown that for any Abelian group A (written additively) and any mappings f 1
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On Schubert calculus in elliptic cohomology [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 An important combinatorial result in equivariant cohomology and $K$-theory Schubert calculus is represented by the formulas of Billey and Graham-Willems for the localization of Schubert classes at torus fixed points.
Cristian Lenart, Kirill Zainoulline
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Implications for colored HOMFLY polynomials from explicit formulas for group-theoretical structure
Nuclear Physics B, 2022 We have recently proposed [1] a powerful method for computing group factors of the perturbative series expansion of the Wilson loop in the Chern-Simons theory with SU(N) gauge group.
E. Lanina, A. Sleptsov, N. Tselousov
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Length-based cryptanalysis: the case of Thompson's group
Journal of Mathematical Cryptology, 2007 The length-based approach is a heuristic for solving randomly generated equations in groups that possess a reasonably behaved length function. We describe several improvements of the previously suggested length-based algorithms, which make them ...
Ruinskiy Dima, Shamir Adi, Tsaban Boaz
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Critical Groups of Simplicial Complexes [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 We generalize the theory of critical groups from graphs to simplicial complexes. Specifically, given a simplicial complex, we define a family of abelian groups in terms of combinatorial Laplacian operators, generalizing the construction of the critical ...
Art M. Duval +2 more
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