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Algebraic and combinatoric approach to pseudo-distance-regularity of graphs and completely pseudo-regular codes

Author
Camara, M.
Type of activity
Theses
Doctorate programme unit
School of Mathematics and Statistics (FME)
Other related units
Department of Applied Mathematics IV
Defense's date
2011-06-15
Abstract
This thesis is a contribution to the area of algebraic graph theory and the study of some generalizations of distance-regularity and related codes. In this work, the connection of graph theory and linear algebra is highlighted through the exhaustive use of the standard and local spectra of a graph, which is proven to be an appropriate tool to deal with such structures. The use of polynomials and, in particular, orthogonal polynomials of a discrete variable, is also ubiquitous. The relationship b...
Group of research
COMBGRAPH - Combinatorics, Graph Theory and Applications

Participants