Browsing by Author "Cámara Vallejo, Marc"

Combinatorial vs. algebraic characterizations of pseudodistanceregularity around a set
Cámara Vallejo, Marc; Fàbrega Canudas, José; Fiol Mora, Miquel Àngel; Garriga Valle, Ernest (200906)
External research report
Open AccessGiven a simple connected graph $\Gamma$ and a subset of its vertices $C$, the pseudodistanceregularity around $C$ generalizes, for not necessarily regular graphs, the notion of completely regular code. Up to now, most ... 
Edge distanceregular graphs
Cámara Vallejo, Marc; Dalfó Simó, Cristina; Fàbrega Canudas, José; Fiol Mora, Miquel Àngel; Garriga Valle, Ernest (2011)
Article
Open AccessEdgedistanceregularity is a concept recently introduced by the authors which is similar to that of distanceregularity, but now the graph is seen from each of its edges instead of from its vertices. More precisely, a ... 
Edgedistanceregular graphs
Cámara Vallejo, Marc; Dalfó Simó, Cristina; Fàbrega Canudas, José; Fiol Mora, Miquel Àngel; Garriga Valle, Ernest (2011)
Article
Restricted access  publisher's policyEdgedistanceregularity is a concept recently introduced by the authors which is similar to that of distanceregularity, but now the graph is seen from each of its edges instead of from its vertices. More precisely, a ... 
Edgedistanceregular graphs
Cámara Vallejo, Marc; Dalfó Simó, Cristina; Fàbrega Canudas, José; Fiol Mora, Miquel Àngel; Garriga Valle, Ernest (20110311)
External research report
Open AccessEdgedistanceregularity is a concept recently introduced by the authors which is similar to that of distanceregularity, but now the graph is seen from each of its edges instead of from its vertices. More precisely, a ... 
Edgedistanceregular graphs are distanceregular
Cámara Vallejo, Marc; Dalfó Simó, Cristina; Delorme, Charles; Fiol Mora, Miquel Àngel; Suzuki, Hiroshi (2013)
Article
Restricted access  publisher's policyA graph is edgedistanceregular when it is distanceregular around each of its edges and it has the same intersection numbers for any edge taken as a root. In this paper we give some (combinatorial and algebraic) proofs ... 
On the local spectra of the subconstituents of a vertex set and completely pseudoregular codes
Cámara Vallejo, Marc; Fàbrega Canudas, José; Fiol Mora, Miquel Àngel; Garriga Valle, Ernest (20141030)
Article
Restricted access  publisher's policyIn this paper we study the relation between the local spectrum of a vertex set C and the local spectra of its subconstituents. In particular, it is shown that, when C is a completely regular code, such spectra are uniquely ... 
Some families of orthogonal polynomials of a discrete variable and their applications to graphs and codes
Fiol Mora, Miquel Àngel; Garriga Valle, Ernest; Fàbrega Canudas, José; Cámara Vallejo, Marc (200008)
Article
Open AccessWe present some related families of orthogonal polynomials of a discrete variable and survey some of their applications in the study of (distanceregular) graphs and (completely regular) codes. One of the main peculiarities ...