Title
A kinetic approach to the random f-graph process: paths, cycles and components
Abstract
Starting with n labeled vertices and no edges, introduce edges, one at a time, so as to obtain a sequence of graphs each having no vertex of degree greater than f . The latter are called f -graphs. At each step the edge to be added is selected with equal probability from among those edges whose addition would not violate the f -degree restriction. This procedure is called the Random f-Graph Process (Rf-GP) of order n . Here we determine some properties of the numbers of paths, cycles and components for the R2-GP and provide the vertex degree distribution for all f ⩾ 2.
Year
DOI
Venue
1996
10.1016/0166-218X(95)00008-F
Discrete Applied Mathematics
Keywords
Field
DocType
random f-graph process,kinetic approach,degree distribution,kinetics
Discrete mathematics,Differential equation,Combinatorics,Random graph,Vertex (geometry),Vertex (graph theory),Cycle graph,Neighbourhood (graph theory),Degree (graph theory),Multiple edges,Mathematics
Journal
Volume
Issue
ISSN
67
1-3
Discrete Applied Mathematics
Citations 
PageRank 
References 
0
0.34
0
Authors
4
Name
Order
Citations
PageRank
Krystyna T. Balinska185.35
Henryk Galina211.45
Louis V. Quintas32211.30
Jerzy Szymański400.34