46 citations
- Universitat Politècnica de CatalunyaES7 papers
- Universidad Rey Juan CarlosES5 papers
- Université de ToursFR3 papers
- University College DublinIE3 papers
- Chitkara UniversityIN2 papers
- Instituto de Engenharia de Sistemas e Computadores Investigação e DesenvolvimentoPT2 papers
- Instituto de Física CorpuscularES2 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di NapoliIT2 papers
- Khazar UniversityAZ2 papers
- Universidad Nacional del SurAR2 papers
- Universitat de ValènciaES2 papers
- University of Newcastle AustraliaAU2 papers
7 papers · 1 filter
On the Laplacian spectra of token graphs
C. Dalfó, F. Duque, R. Fabila-Monroy +4
We study the Laplacian spectrum of token graphs, also called symmetric powers of graphs. The -token graph of a graph is the graph whose vertices are the -subsets…
Decompositions of a rectangle into non-congruent rectangles of equal area
C. Dalfó, M. A. Fiol, N. López +1
In this paper, we deal with a simple geometric problem: Is it possible to partition a rectangle into non-congruent rectangles of equal area? This problem is motivated by the so…
New results for the Mondrian art problem
C. Dalfó, M. A. Fiol, N. López
The Mondrian problem consists of dissecting a square of side length $n\in \NN$ into non-congruent rectangles with natural length sides such that the difference between the l…
An improved Moore bound and some new optimal families of mixed Abelian Cayley graphs
C. Dalfó, M. A. Fiol, N. López +1
We consider the case in which mixed graphs (with both directed and undirected edges) are Cayley graphs of Abelian groups. In this case, some Moore bounds were derived for the maxim…
Spectra and eigenspaces from regular partitions of Cayley (di)graphs of permutation groups
C. Dalfó, M. A. Fiol
In this paper, we present a method to obtain regular (or equitable) partitions of Cayley (di)graphs (that is, graphs, digraphs, or mixed graphs) of permutation groups on letter…
A general method to obtain the spectrum and local spectra of a graph from its regular partitions
C. Dalfó, M. A. Fiol
It is well known that, in general, part of the spectrum of a graph can be obtained from the adjacency matrix of its quotient graph given by a regular partition. In this paper, we p…