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CORDIS

Extremal Sparse Graphs and Graph Limits

Objectif

This proposal focuses on two related families of problems concerning algebraic invariants of
graphs, i.e. networks. On the one hand, we study extremal values of algebraic invariants, i. e.,
we propose to give lower and upper bounds for certain algebraic graph parameters in a given
class of graphs like d{regular graphs. On the other hand, we study the behavior of algebraic
invariants of very large graphs, more precisely we study whether for a certain graph parameter
p(G) it is true that the sequence (p(G_n)) converges if the graph sequence (G_n)
converges in some sense. The two families of problems are connected by the observation that many graph
parameter does not achieve its extremal value on finite graphs, but on some infinite object which
is the limit of finite graphs.

Régime de financement

MSCA-IF-EF-ST - Standard EF

Coordinateur

EOTVOS LORAND TUDOMANYEGYETEM
Contribution nette de l'UE
€ 134 239,20
Adresse
EGYETEM TER 1-3
1053 Budapest
Hongrie

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Région
Közép-Magyarország Budapest Budapest
Type d’activité
Higher or Secondary Education Establishments
Liens
Coût total
€ 134 239,20