3 citations · 8 across the 8 of their papers we have counts for
10 papers
On () one-factorization and two orthogonal () one-factorization of complete graphs
Adrián Vázquez-Ávila
An one-factorization of the complete graph is (), where and are integers, if the union , for any , includes…
Old and new families of strong Skolem Starters
Adrián Vázquez-Ávila
In this paper, we give new families of strong Skolem starters for and , for infinitely many odd primes (mod 8) and be an inte…
On strong Skolem starters for
Adrián Vázquez-Ávila
In 1991, N. Shalaby conjectured that any additive group , where or 3 (mod 8) and , admits a strong Skolem starter and constructed these starters…
On transversal and 2-packing numbers in uniform linear systems
Carlos A. Alfaro, G. Araujo-Pardo, C. Rubio-Montiel +1
A linear system is a pair where is a family of subsets on a ground finite set , such that , for every $l,l^\prime \in \ma…
A note on strong Skolem starters
Adrián Vázquez-Ávila
In 1991, Shalaby conjectured that any additive group , where or 3 (mod 8) and , admits a strong Skolem starter and constructed these starters of…
A note on domination in intersecting linear systems
Adrián Vázquez-Ávila
A linear system is a pair where is a family of subsets on a ground finite set such that , for every $l,l^\prime \in \mat…
On a problem of Henning and Yeo about the transversal number of uniform linear systems whose 2-packing number is fixed
Carlos A. Alfaro, Adrián Vázquez-Ávila
A linear system is a pair where is a family of subsets on a ground finite set such that , for every $l,l^\prime \in \mat…
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…
On line colorings of finite projective spaces
Gabriela Araujo-Pardo, György Kiss, Christian Rubio-Montiel +1
In this paper, we prove lower and upper bounds on the achromatic and the pseudoachromatic indices of the -dimensional finite projective space of order .
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,\…