J. M. Brunat

activity

20052022

most citedShaping Communities out of Triangles

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

collaborators

9 papers

math.NT2022

Periodicity of power Fibonacci sequences modulus a Fibonacci number

Josep M. Brunat, Joan-C. Lario

Let $F = (F_{i} : i \geq 0)$ be the sequence of Fibonacci numbers, and $j$ and $e$ be non negative integers. We study the periodicity of the power Fibonacci sequences ${\mathcal…

math.NT2021

A problem on concatenated integers

Josep M. Brunat, Joan-Carles Lario

Motivated by a WhattsApp message, we find out the integers $x > y \geq 1$ such that $(x + 1) / (y + 1) = (x \circ (y + 1)) / (y \circ (x + 1))$ , where $\circ$ means the concatenation of the strings of…

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…

cs.SI2012★ 3 cited

Shaping Communities out of Triangles

Arnau Prat-Pérez, David Dominguez-Sal, Josep M. Brunat +1

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, social networks or network…

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}=(…