Search Results - "Brunat, Josep M."

Satins, lattices, and extended Euclid's algorithm by Brunat, Josep M., Lario, Joan-C.

“…Motivated by the design of satins with draft of period m and step  a , we draw our attention to the lattices L ( m , a ) = ⟨ ( 1 , a ) , ( 0 , m ) ⟩ where 1 ≤…”
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Extreme Weights in Steinhaus Triangles by Brunat, Josep M., Maureso, Montserrat

“…Let {0=w0<w1<w2<…<wm} be the set of weights of binary Steinhaus triangles of size n, and let Wi be the set of sequences in F2n that generate triangles of…”
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On polynomial digraphs by Brunat, Josep M., Montes, Antonio

“…Let Φ ( x , y ) be a bivariate polynomial with complex coefficients. The zeroes of Φ ( x , y ) are given a combinatorial structure by considering them as arcs…”
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On endo-Cayley digraphs: The hamiltonian property by Maureso, Montserrat, Brunat, Josep M.

“…Given a finite abelian group A, a subset Δ ⊆ A and an endomorphism φ of A, the endo-Cayley digraph G A ( φ , Δ ) is defined by taking A as the vertex set and…”
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Chromatic Automorphisms of Consecutive Digraphs by Brunat, Josep M., Fiol, Miguel A., Maureso, Montserrat

“…Let 1 less than or equal to d less than or equal to n be two positive integers, e,h,c belongs to Zn, and assume that the set delta={e,e+h,...,e+(d-1)h} subset…”
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Computing the Canonical Representation of Constructible Sets by Brunat, Josep M., Montes, Antonio

“…Constructible sets are needed in many algorithms of Computer Algebra, particularly in the Gröbner Cover and other algorithms for parametric polynomial systems…”
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Periodicity of power Fibonacci sequences modulus a Fibonacci number by Brunat, Josep M, Lario, Joan-C

“…Let ${\mathcal F}=(F_i:i\ge 0)$ be the sequence of Fibonacci numbers, and $j$ and $e$ be non negative integers. We study the periodicity of the power Fibonacci…”
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A polynomial generalization of the power-compositions determinant by Brunat, Josep M., Montes, Antonio

“…Let C(n, p) be the set of p-compositions of an integer n, i.e., the set of p-tuples α=(α 1 ,... ,α p ) of nonnegative integers such that α 1 +··· +α p =n, and…”
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A problem on concatenated integers by Brunat, Josep M, Lario, Joan-Carles

“…Motivated by a WhattsApp message, we find out the integers $x> y\ge 1$ such that $(x+1)/(y+1)=(x\circ(y+1))/(y\circ (x+1))$, where $\circ$ means the…”
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Partitions of a finite Boolean lattice into intervals by Brunat, Josep M., Guedes de Oliveira, António, Noy, Marc

“…Related to activities in matroids, J.E. Dawson introduced a construction that leads to partitions of the Boolean lattice of parts of a set into intervals. In…”
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Steinhaus Triangles Generated by Vectors of the Canonical Bases by Brunat, Josep M, Maureso, Montserrat

“…We give a method to calculate the weight of binary Steinhaus triangles generated by the vectors of the canonical basis of the vector space $\mathbb{F}_2^n$…”
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Small and Large Weights in Steinhaus Triangles by Brunat, Josep M, Maureso, Montserrat

“…Let $\{0=w_0<w_1<w_2<\ldots<w_m\}$ be the set of weights of binary Steinhaus triangles of size $n$, and let $W_i$ be the set of sequences in $\mathbb{F}_2^n$…”
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A polynomial generalization of the power-compositions determinant by Brunat, Josep M, Montes, Antonio

“…Let $C(n,p)$ be the set of $p$-compositions of an integer $n$, i.e., the set of $p$-tuples $\bm{\alpha}=(\alpha_1,...,\alpha_p)$ of nonnegative integers such…”
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The characteristic ideal of a finite, connected, regular graph by Brunat, Josep M, Montes, Antonio

“…Proc. ISSAC-2004, ACM, 50-57 Let $\Phi(x,y)\in\mathbb{C}[x,y]$ be a symmetric polynomial of partial degree $d$. The graph $G(\Phi)$ is defined by taking…”
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On polynomial digraphs by Brunat, Josep M, Montes, Antonio

“…Discrete Math. (2006), 306/4, p 401-412 Let $\Phi(x,y)$ be a bivariate polynomial with complex coefficients. The zeroes of $\Phi(x,y)$ are given a…”
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Shaping Communities out of Triangles by Prat-Pérez, Arnau, Dominguez-Sal, David, Brunat, Josep M, Larriba-Pey, Josep-Lluis

“…Community detection has arisen as one of the most relevant topics in the field of graph data mining due to its importance in many fields such as biology,…”
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