Antonio Cafure
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View article: Gaps in binary cyclotomic polynomials
Gaps in binary cyclotomic polynomials Open
The study of gaps arising in binary cyclotomic polynomials $Φ_{pq}$ is the interest of this paper. We compute the second gap of $Φ_{pq}$. When $q$ is congruent to $\pm 1$ modulo $p$, we provide the number of gaps for each possible length.
View article: En busca de la felicidad
En busca de la felicidad Open
Perhaps natural numbers are the most basic living beings, the original cells of that vital, fertile, complex and unbounded network that is mathematical activity. They are subject to various laws of evolution that we ourselves can define, a…
View article: Partial Characterization of Graphs Having a Single Large Laplacian Eigenvalue
Partial Characterization of Graphs Having a Single Large Laplacian Eigenvalue Open
The parameter $\sigma(G)$ of a graph $G$ stands for the number of Laplacian eigenvalues greater than or equal to the average degree of $G$. In this work, we address the problem of characterizing those graphs $G$ having $\sigma(G)=1$. Our c…
View article: Partial characterization of graphs having a single large Laplacian\n eigenvalue
Partial characterization of graphs having a single large Laplacian\n eigenvalue Open
The parameter $\\sigma(G)$ of a graph $G$ stands for the number of Laplacian\neigenvalues greater than or equal to the average degree of $G$. In this work,\nwe address the problem of characterizing those graphs $G$ having $\\sigma(G)=1$.\n…
View article: Irreducibility Criteria for Reciprocal Polynomials and Applications
Irreducibility Criteria for Reciprocal Polynomials and Applications Open
We present criteria for determining irreducibility of reciprocal polynomials over the field of rational numbers. We also obtain some combinatorial results concerning the irreducibility of reciprocal polynomials. As a consequence of our app…