55 citations · 93 across the 6 of their papers we have counts for
6 papers
On the local spectra of the subconstituents of a vertex set and completely pseudo-regular codes
M. Cámara, J. Fàbrega, M. A. Fiol +1
The local spectrum of a vertex set in a graph has been proven to be very useful to study some of its metric properties. It also has applications in the area of pseudo-distance-regu…
A differential approach for bounding the index of graphs under perturbations
C. Dalfó, M. A. Fiol, E. Garriga
This paper presents bounds for the variation of the spectral radius of a graph after some perturbations or local vertex/edge modifications of . The perturbations cons…
Moments in graphs
C. Dalfó, M. A. Fiol, E. Garriga
Let be a connected graph with vertex set and a {\em weight function} that assigns a nonnegative number to each of its vertices. Then, the {\em -moment} of at ver…
Dual concepts of almost distance-regularity and the spectral excess theorem
Cristina Dalfó, Edwin R. van Dam, Miquel Angel Fiol +1
Generally speaking, `almost distance-regular' graphs share some, but not necessarily all, of the regularity properties that characterize distance-regular graphs. In this paper we p…
Number of walks and degree powers in a graph
M. A. Fiol, E. Garriga
This note deals with the relationship between the total number of -walks in a graph, and the sum of the -th powers of its vertex degrees. In particular, it is shown that the…
On almost distance-regular graphs
Cristina Dalfó, Edwin R. van Dam, Miquel Angel Fiol +2
Distance-regular graphs are a key concept in Algebraic Combinatorics and have given rise to several generalizations, such as association schemes. Motivated by spectral and other al…