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Using an alternate description of support varieties of pairs of modules over a complete intersection, we give several new applications of such varieties, including results for support varieties of intermediate complete intersections.…

Commutative Algebra · Mathematics 2015-09-28 Petter Andreas Bergh , David A. Jorgensen

In this work we present a new simple but efficient scheme - Subsquares approach - for development of algorithms for enclosing the solution set of overdetermined interval linear systems. We are going to show two algorithms based on this…

Numerical Analysis · Computer Science 2013-05-07 Jaroslav Horáček , Milan Hladík

We built some congruences on semigroups, from where a decomposition of quasi-separative semigroups was obtained.

Group Theory · Mathematics 2007-05-23 Yu. I. Krasilnikova , B. V. Novikov

We proposed an algorithm that covers some cases of Hamilton Circuit Problem.

Data Structures and Algorithms · Computer Science 2018-11-01 Hanlin Liu

Given two curves in $\PP^3$, either implicitly or by a parameterization, we want to check if they intersect. For that purpose, we present and further develop generalized resultant techniques. Our aim is to provide a closed formula in the…

Algebraic Geometry · Mathematics 2007-05-23 Laurent Buse , Andre Galligo

We give an efficient algorithm to compute equations of twists of hyperelliptic curves of arbitrary genus over any separable field (of characteristic different from 2), and we explicitly describe some interesting examples.

Number Theory · Mathematics 2018-09-27 Davide Lombardo , Elisa Lorenzo García

We investigate arcs on a pair of pants and present an algorithm to compute the self-intersection number of an arc. Additionally, we establish bounds for the self-intersection number in terms of the word length. We also prove that the…

Geometric Topology · Mathematics 2024-07-26 Nhat Minh Doan , Hanh Vo

We construct a class of finitely generated groups which have arbitrarily large conjugacy separability function, but in which the conjugacy problem can be solved in polynomial time, demonstrating that the McKinsey algorithm for the conjugacy…

Group Theory · Mathematics 2025-04-17 Lukas Vandeputte

Iterative algorithms aimed at solving some problems are discussed. For certain problems, such as finding a common point in the intersection of a finite number of convex sets, there often exist iterative algorithms that impose very little…

Optimization and Control · Mathematics 2010-09-28 Y. Censor , R. Davidi , G. T. Herman

We apply Voronoi's algorithm to compute representatives of the conjugacy classes of maximal finite subgroups of the unit group of a maximal order in some simple $\QQ $-algebra. This may be used to show in small cases that non-conjugate…

Number Theory · Mathematics 2013-12-16 Renaud Coulangeon , Gabriele Nebe

We derive various inequalities involving the intersection number of the curves contained in geodesics and tight geodesics in the curve graph. While there already exist such inequalities on tight geodesics, our method applies in the setting…

Geometric Topology · Mathematics 2016-03-14 Yohsuke Watanabe

By introducing various topologies on the homotopy groups of a topological space, some researchers make these well known notions in algebraic topology more useful and powerful. In this paper, first we recall and review some known topologies…

Algebraic Topology · Mathematics 2026-02-25 Naghme Shahami , Behrooz Mashayekhy

In this paper an algorithm is given to determine all possible structurally different linearly conjugate realizations of a given kinetic polynomial system. The solution is based on the iterative search for constrained dense realizations…

Dynamical Systems · Mathematics 2016-03-08 Bernadett Acs , Gabor Szederkenyi , Zsolt Tuza , Zoltan Andras Tuza

We present a, hopefully, elementary mathematical treatment of the computational aspects of congruent numbers, such that an amateur could understand the problem and perform their own calculations.

Number Theory · Mathematics 2021-03-04 Allan J. MacLeod

Cooperative driving at isolated intersections attracted great interest and had been well discussed in recent years. However, cooperative driving in multi-intersection road networks remains to be further investigated, because many algorithms…

Systems and Control · Electrical Eng. & Systems 2021-04-22 Huaxin Pei , Yi Zhang , Qinghua Tao , Shuo Feng , Li Li

We consider the growth, order, and finiteness problems for automaton (semi)groups. We propose new implementations and compare them with the existing ones. As a result of extensive experimentations, we propose some conjectures on the order…

Formal Languages and Automata Theory · Computer Science 2013-10-21 Ines Klimann , Jean Mairesse , Matthieu Picantin

We find explicit formulas for the Hilbert series of residual intersections of a scheme in terms of the Hilbert series of its conormal modules. In a previous paper we proved that such formulas should exist. We give applications to the…

Commutative Algebra · Mathematics 2015-09-30 Marc Chardin , David Eisenbud , Bernd Ulrich

We show algorithms for computing representative families for matroid intersections and use them in fixed-parameter algorithms for set packing, set covering, and facility location problems with multiple matroid constraints. We complement our…

Data Structures and Algorithms · Computer Science 2021-09-14 René van Bevern , Oxana Yu. Tsidulko , Philipp Zschoche

This paper presents a new combinatorial optimisation task, the Subset Sum Matching Problem (SSMP), which is an abstraction of common financial applications such as trades reconciliation. We present three algorithms, two suboptimal and one…

Artificial Intelligence · Computer Science 2025-08-27 Yufei Wu , Manuel R. Torres , Parisa Zehtabi , Alberto Pozanco Lancho , Michael Cashmore , Daniel Borrajo , Manuela Veloso

We present a new algorithm for computing the first discrete homology group of a graph. By testing the algorithm on different data sets of random graphs, we find that it significantly outperforms other known algorithms.

Computational Geometry · Computer Science 2025-12-17 Jacob Ender , Chris Kapulkin