• JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
 
  Bookmark and Share
 
 
Master's Dissertation
DOI
https://doi.org/10.11606/D.45.2022.tde-27042022-144653
Document
Author
Full name
Giovanne Marcelo dos Santos
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2022
Supervisor
Committee
Fernandes, Cristina Gomes (President)
Hoppen, Carlos
Santos, Tássio Naia dos
Title in Portuguese
Empacotamento e imersão de árvores
Keywords in Portuguese
Conjectura de Gyárfás e Lehel
Empacotamento de árvores
Grafos estilhaçáveis
Abstract in Portuguese
Dizemos que um grafo H imerge em um grafo G se existe uma cópia de H em G. Uma família de grafos H_1,..., H_k empacota em um grafo G se existem imersões disjuntas nas arestas de H_1,...,H_k em G. Em 1976, Gyárfás e Lehel fizeram o seguinte questionamento: é possível empacotar uma sequência de n árvores T_1,...,T_n , onde T_i denota uma árvore arbitrária em i vértices, no grafo completo em n vértices? Apesar de existirem alguns resultados quando restringimos as classes de árvores da sequência, essa questão ainda está em aberto. Recentemente, avanços importantes foram feitos quando existem restrições no grau máximo das árvores da sequência. Neste trabalho, apresentamos um desses resultados para árvores com grau máximo limitado.
Title in English
Packing and embedding of trees
Keywords in English
Gyárfás and Lehel conjecture
Packing of trees
Separable graphs
Abstract in English
We say that a graph H embeds in a graph G if there is a copy of H in G. A family of graphs H_1,..., H_k packs into a graph G if there exist pairwise edge-disjoint embeddings of H_1,..., H_k in G. In 1976, Gyárfás and Lehel raised the following question: does any sequence of n trees T_1,..., T_n such that T_i has i vertices pack into the complete graph on n vertices? Although there are some results when we restrict the class of the trees in the sequence, this question is still open. Recently, important advances have been achieved when there are restrictions on the maximum degree of the trees in the sequence. We present one of these results for trees with bounded maximum degree.
 
WARNING - Viewing this document is conditioned on your acceptance of the following terms of use:
This document is only for private use for research and teaching activities. Reproduction for commercial use is forbidden. This rights cover the whole data about this document as well as its contents. Any uses or copies of this document in whole or in part must include the author's name.
tese.pdf (3.86 Mbytes)
Publishing Date
2022-04-29
 
WARNING: Learn what derived works are clicking here.
All rights of the thesis/dissertation are from the authors
CeTI-SC/STI
Digital Library of Theses and Dissertations of USP. Copyright © 2001-2024. All rights reserved.