1 citations · 1 across the 8 of their papers we have counts for
9 papers
There are no excess one digraphs
Slobodan Filipovski, Arnau Messegué, Josep M. Miret +1
A digraph is \emph{-geodetic} if for any pair there is at most one -walk of length not exceeding . The order of a -geodetic digraph with minimum ou…
On the nonexistence of almost Moore digraphs with self-repeats
Arnau Messegué, Josep Maria Miret
An almost Moore digraph is a diregular digraph of degree , diameter and order . Their existence has only been shown for . It has also been conje…
A general method to find the spectrum and eigenspaces of the -token of a cycle, and 2-token through continuous fractions
M. A. Reyes, C. Dalfó, M. A. Fiol +1
The -token graph of a graph is the graph whose vertices are the -subsets of vertices from , two of which being adjacent whenever their symmetric difference is…
Some bounds on the Laplacian eigenvalues of token graphs
Cristina Dalfó, Miquel Àngel Fiol, Arnau Messegué
The -token graph of a graph on vertices is the graph whose vertices are the -subsets of vertices from , two of which being adjacent wheneve…
On the spectra of token graphs of cycles and other graphs
Mónica. A. Reyes, Cristina Dalfó, Miquel Àngel Fiol +1
The -token graph of a graph is the graph whose vertices are the -subsets of vertices from , two of which being adjacent whenever their symmetric difference is…
On large regular (1,1,k)-mixed graphs
C. Dalfó, G. Erskine, G. Exoo +4
An -mixed graph has every vertex with undirected degree , directed in- and out-degree , and diameter . In this paper, we study the case , proposing som…
The Diameter of Sum Basic Equilibria Games
Aida Abiad, Carme Alvarez, Arnau Messegué
A graph of order is said to be a sum basic equilibrium if and only if for every edge from and any node from , when performing the swap of the edge for…
Computing a Best Response against a Maximum Disruption Attack
Carme Àlvarez, Arnau Messegué
Inspired by scenarios where the strategic network design and defense or immunisation are of the central importance, Goyal et al. [3] defined a new Network Formation Game with Attac…
New Insights into the Structure of Equilibria for the Network Creation Game
Carme Àlvarez, Arnau Messegué
We study the sum classic network creation game introduced by Fabrikant et al. in which players conform a network buying links at individual price . When studying this model…