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2016 | 26 | 4 | 855-870
Tytuł artykułu

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

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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.
Rocznik
Tom
26
Numer
4
Strony
855-870
Opis fizyczny
Daty
wydano
2016
otrzymano
2015-09-29
poprawiono
2016-04-17
poprawiono
2016-06-03
zaakceptowano
2016-07-02
Twórcy
autor
  • Department of Applied Mathematics I, University of Seville, ETSIA, Ctra. Utrera km 1, ES-41013 Seville, Spain
  • Department of Economics, Quantitative Methods and Economic History, Pablo de Olavide University, Ctra. Utrera km 1, ES-41013 Seville, Spain
Bibliografia
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Typ dokumentu
Bibliografia
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