Creator:

Cera, Martín ; Fedriani, Eugenio M.

Contributor:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Title:

An advance in infinite graph models for the analysis of transportation networks

Group publication title:

AMCS, Volume 26 (2016)

Subject and Keywords:

infinite graph ; average degree ; extremal problems ; road transport network ; percolation

Abstract:

This paper extends to infinite graphs the most general extremal issues, which are problems of determining the maximum number of edges of a graph not containing a given subgraph. It also relates the new results with the corresponding situations for the finite case. In particular, concepts from "finite" graph theory, like the average degree and the extremal number, are generalized and computed for some specific cases. Finally, some applications of infinite graphs to the transportation of dangerous goods are presented; they involve the analysis of networks and percolation thresholds.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2016

Resource Type:

artykuł

DOI:

10.1515/amcs-2016-0061

Pages:

855-870

Source:

AMCS, volume 26, number 4 (2016) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego