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We perform certain alternating binomial summations with parameters that occur in the analysis of algorithms. A combination of integral and special function and special number representations is used. The results are sufficiently general to…

Mathematical Physics · Physics 2007-05-23 Mark W. Coffey

An algorithm for computing power conjugate presentations for finite soluble quotients of predetermined structure of finitely presented groups is described. Practical aspects of an implementation are discussed.

Group Theory · Mathematics 2018-01-30 Alice C. Niemeyer

A survey on algorithms for computing discrete logarithms in Jacobians of curves over finite fields.

Cryptography and Security · Computer Science 2007-12-27 Andreas Enge

We compute numerically the homology of several graph complexes in low loop orders, extending previous results.

Quantum Algebra · Mathematics 2023-12-21 Simon Brun , Thomas Willwacher

Geometric methods proposed by Stallings for treating finitely generated subgroups of free groups were successfully used to solve a wide collection of decision problems for free groups and their subgroups. In the present paper we employ the…

Group Theory · Mathematics 2007-07-03 L. Markus-Epstein

In the last decade the broad scope of complex networks has led to a rapid progress. In this area a particular interest has the study of community structures. The analysis of this type of structure requires the formalization of the intuitive…

Information Retrieval · Computer Science 2009-12-07 Vincenza Carchiolo , Alessandro Longheu , Michele Malgeri , Giuseppe Mangioni

In this paper we introduce and experimentally compare alternative algorithms to join uncertain relations. Different algorithms are based on specific principles, e.g., sorting, indexing, or building intermediate relational tables to apply…

Databases · Computer Science 2012-11-02 Matteo Magnani , Danilo Montesi

We present here algorithms for efficient computation of linear algebra problems over finite fields.

Symbolic Computation · Computer Science 2013-05-21 Jean-Guillaume Dumas , Clément Pernet

We present a new probabilistic algorithm to find a finite set of points intersecting the closure of each connected component of the realization of every sign condition over a family of real polynomials defining regular hypersurfaces that…

Algebraic Geometry · Mathematics 2008-12-18 Gabriela Jeronimo , Daniel Perrucci , Juan Sabia

This thesis is in the area called computational social choice which is an intersection area of algorithms and social choice theory.

Data Structures and Algorithms · Computer Science 2017-03-24 Palash Dey

We present new algorithm for computing the union and intersection of all justifications for a given ontological consequence without first computing the set of all justifications. Through an empirical evaluation, we show that our approach…

Logic in Computer Science · Computer Science 2021-09-24 Jieying Chen , Yue Ma , Rafael Peñaloza , Hui Yang

We exploit the classical correspondence between finitely generated abelian groups and abelian complex algebraic reductive groups to study the intersection theory of translated subgroups in an abelian complex algebraic reductive group, with…

Group Theory · Mathematics 2012-10-18 Alexander I. Suciu , Yaping Yang , Gufang Zhao

An overview of the current status of algorithmic approaches to dynamical overlap fermions is given. In particular the issue of changing the topological sector is discussed.

High Energy Physics - Lattice · Physics 2008-11-26 Stefan Schaefer

Delorme suggested that the set of all complete intersection numerical semigroups can be computed recursively. We have implemented this algorithm, and particularized it to several subfamilies of this class of numerical semigroups: free and…

Combinatorics · Mathematics 2013-01-22 Abdallah Assi , Pedro A. García-Sánchez

We describe an algorithm that computes possible corners of hypothetical counterexamples to the Jacobian Conjecture up to a given bound. Using this algorithm we compute the possible families corresponding to $\gcd(deg(P),deg(Q))\le 35$, and…

Commutative Algebra · Mathematics 2017-08-29 Jorge A. Guccione , Juan J. Guccione , Rodrigo Horruitiner , Christian Valqui

We consider the problem of cooperative intersection management. It arises in automated transportation systems for people or goods but also in multi-robots environment. Therefore many solutions have been proposed to avoid collisions. The…

Systems and Control · Computer Science 2013-10-30 Jean Gregoire , Silvère Bonnabel , Arnaud de La Fortelle

We present an algorithm for computing curves and families of curves of prescribed degree and geometric genus on real rational surfaces.

Algebraic Geometry · Mathematics 2018-05-11 Niels Lubbes

We extend the methods developed in our earlier work to algorithmically compute the intersection cohomology Betti numbers of reductive varieties. These form a class of highly symmetric varieties that includes equivariant compactifications of…

Algebraic Geometry · Mathematics 2007-05-23 Michel Brion , Roy Joshua

We prove a convolution formula for the conjugacy classes in symmetric groups conjectured by the second author. A combinatorial interpretation of coefficients is provided. As a main tool we introduce new semigroup of partial permutations. We…

Combinatorics · Mathematics 2007-05-23 Vladimir Ivanov , Sergei Kerov

The article contains some important classes of multisets. Combinatorial proofs of problems on the number of m-submultisets and m-permutations of multiset elements are considered and effective algorithms for their calculation are given. In…

General Mathematics · Mathematics 2020-09-04 Oleksandr Makhnei , Roman Zatorskii