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The dimension of a graph

Authors :
Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)
Universidad de Sevilla. FQM-164: Matemática Discreta: Teoría de Grafos y Geometría Computacional
Boza Prieto, Luis
Revuelta Marchena, María Pastora
Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)
Universidad de Sevilla. FQM-164: Matemática Discreta: Teoría de Grafos y Geometría Computacional
Boza Prieto, Luis
Revuelta Marchena, María Pastora
Publication Year :
2007

Abstract

For each graph G the dimension of G is defined as the smallest dimension in the Euclidean Space where there is an embedding in which all the edges of G are segments of a straight line of length one. The exact value is calculated for some important families of graphs and this value is compared with other invariants. An infinite quantity of forbidden graphs for dimension 2 is also shown

Details

Database :
OAIster
Notes :
English
Publication Type :
Electronic Resource
Accession number :
edsoai.on1416318519
Document Type :
Electronic Resource