Title
Different capacities of a digraph
Abstract
Sperner product is the natural generalization of co-normal product to digraphs. For every class of digraphs closed under Sperner product, the cardinality of the largest subgraph from the given class, contained as an induced subgraph in the co-normal powers of a graphG, has an exponential growth. The corresponding asymptotic exponent is the capacity ofG with respect to said class of digraphs. We derive upper and lower bounds for these capacities for various classes of digraphs, and analyze the conditions under which they are tight.
Year
DOI
Venue
1994
10.1007/BF02986655
Graphs and Combinatorics
Keywords
Field
DocType
upper and lower bounds,exponential growth
Discrete mathematics,Combinatorics,Exponent,Upper and lower bounds,Bipartite graph,Induced subgraph,Cardinality,Directed graph,Mathematics,Digraph,Exponential growth
Journal
Volume
Issue
ISSN
10
2-4
1435-5914
Citations 
PageRank 
References 
4
0.56
7
Authors
4
Name
Order
Citations
PageRank
Anna Galluccio119323.05
Luisa Gargano272571.91
János Körner340.56
Gábor Simonyi424929.78