V. Diego

most citedEquivalent characterizations of the spectra of graphs and applications to measures of distance-regularity

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.CO2016★ 1 cited

Equivalent characterizations of the spectra of graphs and applications to measures of distance-regularity

V. Diego, J. Fàbrega, M. A. Fiol

As it is well known, the spectrum $sp Γ$ (of the adjacency matrix $A$ ) of a graph $Γ$ , with $d$ distinct eigenvalues other than its spectral radius $λ_{0}$ , usually provides…

math.CO2016

On a problem by Shapozenko on Johnson graphs

Víctor Diego, Oriol Serra, Lluís Vena

The Johnson graph $J (n, m)$ has the $m$ --subsets of ${1, 2, \dots, n}$ as vertices and two subsets are adjacent in the graph if they share $m - 1$ elements. Shapozenko asked about the…

math.CO2015

Distance mean-regular graphs

V. Diego, M. A. Fiol

We introduce the concept of distance mean-regular graph, which can be seen as a generalization of both vertex-transitive and distance-regular graphs. Let $Γ$ be a graph with vertex…