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Extremal Sparse Graphs and Graph Limits

Objetivo

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.

Régimen de financiación

MSCA-IF-EF-ST - Standard EF

Coordinador

EOTVOS LORAND TUDOMANYEGYETEM
Aportación neta de la UEn
€ 134 239,20
Dirección
EGYETEM TER 1-3
1053 Budapest
Hungría

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Región
Közép-Magyarország Budapest Budapest
Tipo de actividad
Higher or Secondary Education Establishments
Enlaces
Coste total
€ 134 239,20