Title
The Spectra of Cycle Prefix Digraphs
Abstract
Cycle prefix digraphs comprise a class of vertex symmetric digraphs with many interesting properties, such as large order for a given degree and diameter, Hamiltonicity, and hierarchical structure. From their known structural properties, we determine the spectra of the digraphs. We also show that, although cycle prefix digraphs are not distance regular according to the usual definition, they have properties that fully characterize, in the undirected case, distance regular graphs.
Year
DOI
Venue
2003
10.1137/S0895480100380604
SIAM J. Discrete Math.
Keywords
Field
DocType
cycle prefix digraph,hierarchical structure,regular graph,vertex symmetric digraph,usual definition,undirected case,interesting property,cycle prefix digraphs,structural property,large order,eigenvalues,adjacency matrix,directed graphs
Adjacency matrix,Discrete mathematics,Graph,Combinatorics,Vertex (geometry),Directed graph,Prefix,Regular graph,Eigenvalues and eigenvectors,Mathematics
Journal
Volume
Issue
ISSN
16
3
0895-4801
Citations 
PageRank 
References 
1
0.43
0
Authors
2
Name
Order
Citations
PageRank
Francesc Comellas115525.07
Margarida Mitjana2377.82