output
20152025
most citedGraph classes for critical ideals, minimum rank and zero forcing number

9 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions
Showing math.COShow all

5 papers · 1 filter

math.CO2020

Enumeration of cospectral and coinvariant graphs

Aida Abiad, Carlos A. Alfaro

We present enumeration results on the number of connected graphs up to 10 vertices for which there is at least one other graph with the same spectrum (a cospectral mate), or at lea…

math.CO2017★ 9 cited

Graph classes for critical ideals, minimum rank and zero forcing number

Carlos A. Alfaro

Recently, there have been found new relations between the zero forcing number and the minimum rank of a graph with the algebraic co-rank. We continue on this direction by giving a…

math.CO2017★ 1 cited

Covering and 2-degree-packing numbers in graphs

Carlos Alfaro Montufar, Christian Rubio Montiel, Adrián Vázquez-Ávila

In this paper, we give a relationship between the covering number of a simple graph , , and a new parameter associated to which is called 2-degree-packing number of $G…

math.CO2017

Digraphs with at most one trivial critical ideal

Carlos A. Alfaro, Carlos E. Valencia, Adrián Vázquez-Ávila

Critical ideals generalize the critical group, Smith group and the characteristic polynomials of the adjacency and Laplacian matrices of a graph. We give a complete characterizatio…

math.CO2016★ 1 cited

On two-quotient strong starters for

Carlos A. Alfaro, Christian Rubio-Montiel, Adrián Vázquez-Ávila

Let be a finite additive abelian group of odd order , and let be the set of non-zero elements. A starter for is a set $S=\{\{x_i,y_i\}:i=1,\ldots,\…