Title
A Note on the Order of Iterated Line Digraphs.
Abstract
Given a digraph G, we propose a new method to find the recurrence equation for the number of vertices nk of the k-iterated line digraph LkG, for kï¾ź0, where L0G=G. We obtain this result by using the minimal polynomial of a quotient digraph πG of G.
Year
DOI
Venue
2017
10.1002/jgt.22068
Journal of Graph Theory
Keywords
Field
DocType
line digraph,adjacency matrix,minimal polynomial,regular partition,quotient digraph,recurrence
Discrete mathematics,Combinatorics,Square-free integer,Vertex (geometry),Enumeration,Quotient,Minimal polynomial (linear algebra),Ternary operation,Iterated function,Digraph,Mathematics
Journal
Volume
Issue
ISSN
85
2
0364-9024
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
C. Dalfo112.06
M. A. Fiol281687.28