J. M. Brunat

activity

20052022

most citedShaping Communities out of Triangles

3 citations · 3 across the 9 of their papers we have counts for

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4 papers · 1 filter

math.CO2017

Steinhaus Triangles Generated by Vectors of the Canonical Bases

Josep M. Brunat, Montserrat Maureso

We give a method to calculate the weight of binary Steinhaus triangles generated by the vectors of the canonical basis of the vector space $F_{2}^{n}$ over the field $\mathbb{…

math.CO2017

Small and Large Weights in Steinhaus Triangles

Josep M. Brunat, Montserrat Maureso

Let ${0 = w_{0} < w_{1} < w_{2} < \dots < w_{m}}$ be the set of weights of binary Steinhaus triangles of size $n$ , and let $W_{i}$ be the set of sequences in $F_{2}^{n}$ that generate triangle…

math.CO2006

A polynomial generalization of the power-compositions determinant

Josep M. Brunat, Antonio Montes

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 $\mathbf{x}=(…

math.CO2005

Some composition determinants

J. M. Brunat, C. Krattenthaler, A. Lascoux +1

We compute two parametric determinants in which rows and columns are indexed by compositions, where in one determinant the entries are products of binomial coefficients, while in t…